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Sample records for reiner-rivlin constitutive equation

  1. Lagrangian viscoelastic flow computations using the Rivlin-Sawyers constitutive model

    DEFF Research Database (Denmark)

    Rasmussen, Henrik Koblitz

    2000-01-01

    convected Maxwell fluid to a fluid described by an integral constitutive equation of the Rivlin-Sawyers type. This includes the K-BKZ model. The convergence of the method is demonstrated on the axisymmetric problem of the inflation of a polymeric membrane only restricted by a clamping ring....

  2. Kink and kink-like waves in pre-stretched Mooney-Rivlin viscoelastic rods

    Directory of Open Access Journals (Sweden)

    Y. Z. Wang

    2015-08-01

    Full Text Available The present paper theoretically investigates kink and kink-like waves propagating in pre-stretched Mooney-Rivlin viscoelastic rods. In the constitutive modeling, the Cauchy stress tensor is assumed to consist of an elastic part and a dissipative part. The asymptotic method is adopted to simplify the nonlinear dynamic equations in the limit of finite-small amplitude and long wavelength. Using the reductive perturbation method, we further derive the well-known far-field equation (i.e. the KdV-Burgers equation, to which two kinds of explicit traveling wave solutions are presented. Examples are given to show the influences of pre-stretch and viscosity on the wave shape and wave velocity. It is shown that pre-stretch could be an effective method for modulating the two types of waves. In addition, such waves may be utilized to measure the viscosity coefficient of the material. The competition between the effects of pre-stretch and viscosity on the kink and kink-like waves is also revealed.

  3. Determination of Crosslink Concentration by Mooney-Rivlin Equation for Vulcanized NR/ SBR Blend and its Influence on Mechanical Properties

    International Nuclear Information System (INIS)

    Azreen Izzati Dzulkifli; Che Mohd Som Said; Han, C.C.

    2015-01-01

    Crosslink concentration is an important property affecting the major characteristic of cured rubber. The crosslink concentration was determined using Mooney-Rivlin equation due to its simple and reliable method. Cured natural rubber and styrene butadiene rubber blend (NR/SBR) with different crosslink concentrations were obtained with different blend ratios of 100/0, 80/20, 70/30, 60/40, 50/50, 40/60 and 0/100. The crosslink concentrations were determined using Mooney-Rivlin Equation and its influence on International Rubber Hardness Tester (IRHD), tensile strength and rebound resilience of NR/ SBR blend vulcanizates was investigated. The results showed different blend ratios had an influence on the crosslink concentration of the NR/ SBR blend vulcanizates. Obtained data showed that high NR content in NR/ SBR blend increased the crosslink concentration. The highest crosslink concentration recorded was for 100/0 blend ratio which was 0.0498 mol kg"-"1 RH while the lowest was 0.0295 mol kg"-"1 RH for 0/100 blend ratio. The study on the influence of crosslink concentration on IRHD, tensile strength and rebound resilience of NR/ SBR blend vulcanizates showed that the mechanical properties increased linearly with the crosslink concentration. High NR content in NR/ SBR blends resulted in higher crosslink concentration which improved the performance of mechanical properties for NR/ SBR blend. (author)

  4. Contributions to mechanics Markus Reiner eightieth anniversary volume

    CERN Document Server

    Abir, David

    1969-01-01

    Contributions to Mechanics presents a biographical survey of Professor Markus Reiner's life. This book is a manifestation of affection and esteem to Professor Reiner, expressed by various authors who eagerly contributed original works in the field of mechanics. Organized into five parts encompassing 26 chapters, this book begins with a biographical article of Professor Markus Reiner that includes a detailed account of his works. This text then explores the approach for the interpretation of certain features commonly accepted in quantum theory on the basis of its mathematical formalism. Other c

  5. Nonlinear electrorheological instability of two Rivlin-Ericksen elastico-viscous fluids

    CERN Document Server

    El-Dib, Y O

    2003-01-01

    The behaviour of surface waves propagating between two Rivlin-Ericksen elastico-viscous fluids is examined. The investigation is made in the presence of a vertical electric field and a relative horizontal constant velocity. The influence of both surface tension and gravity force is taken into account. Due to the inclusion of streaming flow a mathematical simplification is considered. The viscoelastic contribution is demonstrated in the boundary conditions. From this point of view the approximation equations of motion are solved in the absence of viscoelastic effects. The solutions of the linearized equations of motion under nonlinear boundary conditions lead to derivation of a nonlinear equation governing the interfacial displacement and having damping terms with complex coefficients. This equation is accomplished by utilizing the cubic nonlinearity. The use of the Gardner-Morikawa transformation yields a simplified linear dispersion relation so that the periodic solution for the linear form is utilized. The ...

  6. MHD Hele-Shaw flow of Rivlin-Ericksen fluid

    International Nuclear Information System (INIS)

    Ghosh, B.C.; Sengupta, P.R.

    1995-01-01

    In this paper, an attempt has been made to study the MHD Hele-Shaw flow of Rivlin-Ericksen visco-elastic fluid assuming the pressure gradient to be proportional to exp (-nt). The velocity components are obtained and the effect of visco-elasticity is discussed on velocity components. (author). 8 refs

  7. Constitutive equations for two-phase flows

    International Nuclear Information System (INIS)

    Boure, J.A.

    1974-12-01

    The mathematical model of a system of fluids consists of several kinds of equations complemented by boundary and initial conditions. The first kind equations result from the application to the system, of the fundamental conservation laws (mass, momentum, energy). The second kind equations characterize the fluid itself, i.e. its intrinsic properties and in particular its mechanical and thermodynamical behavior. They are the mathematical model of the particular fluid under consideration, the laws they expressed are so called the constitutive equations of the fluid. In practice the constitutive equations cannot be fully stated without reference to the conservation laws. Two classes of model have been distinguished: mixture model and two-fluid models. In mixture models, the mixture is considered as a single fluid. Besides the usual friction factor and heat transfer correlations, a single constitutive law is necessary. In diffusion models, the mixture equation of state is replaced by the phasic equations of state and by three consitutive laws, for phase change mass transfer, drift velocity and thermal non-equilibrium respectively. In the two-fluid models, the two phases are considered separately; two phasic equations of state, two friction factor correlations, two heat transfer correlations and four constitutive laws are included [fr

  8. Mathematical modeling and the two-phase constitutive equations

    International Nuclear Information System (INIS)

    Boure, J.A.

    1975-01-01

    The problems raised by the mathematical modeling of two-phase flows are summarized. The models include several kinds of equations, which cannot be discussed independently, such as the balance equations and the constitutive equations. A review of the various two-phase one-dimensional models proposed to date, and of the constitutive equations they imply, is made. These models are either mixture models or two-fluid models. Due to their potentialities, the two-fluid models are discussed in more detail. To avoid contradictions, the form of the constitutive equations involved in two-fluid models must be sufficiently general. A special form of the two-fluid models, which has particular advantages, is proposed. It involves three mixture balance equations, three balance equations for slip and thermal non-equilibriums, and the necessary constitutive equations [fr

  9. Constitutive equations for discrete electromagnetic problems over polyhedral grids

    International Nuclear Information System (INIS)

    Codecasa, Lorenzo; Trevisan, Francesco

    2007-01-01

    In this paper a novel approach is proposed for constructing discrete counterparts of constitutive equations over polyhedral grids which ensure both consistency and stability of the algebraic equations discretizing an electromagnetic field problem. The idea is to construct discrete constitutive equations preserving the thermodynamic relations for constitutive equations. In this way, consistency and stability of the discrete equations are ensured. At the base, a purely geometric condition between the primal and the dual grids has to be satisfied for a given primal polyhedral grid, by properly choosing the dual grid. Numerical experiments demonstrate that the proposed discrete constitutive equations lead to accurate approximations of the electromagnetic field

  10. Constitutive equations for Zr1Nb. II

    International Nuclear Information System (INIS)

    Novak, J.

    1986-01-01

    Based on existing knowledge and constitutive equations for non-irradiated material, constitutive equations were written for Zr1Nb irradiated at 573 K at deformation in the direction of forming. Constitutive equations express the following material characteristics: dependence of shear strength on fast neutron fluence, superposition of deformation hardening and subsequent radiation hardening, the effect of stress on deformation rate, and for fluences above ca. 10 24 n.m -2 (E>1 MeV) the course of the deformation curve for various fluence levels. The values apply for temperatures and rates of deformation which are characteristic of transient processes during changes in the power output of fuel elements of pressurized water reactors. (J.B.)

  11. Constitutive Equation with Varying Parameters for Superplastic Flow Behavior

    Science.gov (United States)

    Guan, Zhiping; Ren, Mingwen; Jia, Hongjie; Zhao, Po; Ma, Pinkui

    2014-03-01

    In this study, constitutive equations for superplastic materials with an extra large elongation were investigated through mechanical analysis. From the view of phenomenology, firstly, some traditional empirical constitutive relations were standardized by restricting some strain paths and parameter conditions, and the coefficients in these relations were strictly given new mechanical definitions. Subsequently, a new, general constitutive equation with varying parameters was theoretically deduced based on the general mechanical equation of state. The superplastic tension test data of Zn-5%Al alloy at 340 °C under strain rates, velocities, and loads were employed for building a new constitutive equation and examining its validity. Analysis results indicated that the constitutive equation with varying parameters could characterize superplastic flow behavior in practical superplastic forming with high prediction accuracy and without any restriction of strain path or deformation condition, showing good industrial or scientific interest. On the contrary, those empirical equations have low prediction capabilities due to constant parameters and poor applicability because of the limit of special strain path or parameter conditions based on strict phenomenology.

  12. Study on the creep constitutive equation of Hastelloy X, (1)

    International Nuclear Information System (INIS)

    Hada, Kazuhiko; Mutoh, Yasushi

    1983-01-01

    A creep constitutive equation of Hastelloy X was obtained from available experimental data. A sensitivity analysis of this creep constitutive equation was carried out. As the result, the following were revealed: (i) Variations in creep behavior with creep constitutive equation are not small. (ii) In a simpler stress change pattern, variations in creep behavior are similar to those in the corresponding fundamental creep characteristics (creep strain curve, stress relaxation curve, etc.). (iii) Cumulative creep damage estimated in accordance with ASME Boiler and Pressure Vessel Code Case N-47 from a stress history predicted by ''the standard creep constitutive equation'' which predicts the average behavior of creep strain curve data is not thought to be on the safe side on account of uncertainties in creep damage caused by variations in creep strain curve. (author)

  13. A stable computational scheme for stiff time-dependent constitutive equations

    International Nuclear Information System (INIS)

    Shih, C.F.; Delorenzi, H.G.; Miller, A.K.

    1977-01-01

    Viscoplasticity and creep type constitutive equations are increasingly being employed in finite element codes for evaluating the deformation of high temperature structural members. These constitutive equations frequently exhibit stiff regimes which makes an analytical assessment of the structure very costly. A computational scheme for handling deformation in stiff regimes is proposed in this paper. By the finite element discretization, the governing partial differential equations in the spatial (x) and time (t) variables are reduced to a system of nonlinear ordinary differential equations in the independent variable t. The constitutive equations are expanded in a Taylor's series about selected values of t. The resulting system of differential equations are then integrated by an implicit scheme which employs a predictor technique to initiate the Newton-Raphson procedure. To examine the stability and accuracy of the computational scheme, a series of calculations were carried out for uniaxial specimens and thick wall tubes subjected to mechanical and thermal loading. (Auth.)

  14. A numerical study of blood flow using mixture theory.

    Science.gov (United States)

    Wu, Wei-Tao; Aubry, Nadine; Massoudi, Mehrdad; Kim, Jeongho; Antaki, James F

    2014-03-01

    In this paper, we consider the two dimensional flow of blood in a rectangular microfluidic channel. We use Mixture Theory to treat this problem as a two-component system: One component is the red blood cells (RBCs) modeled as a generalized Reiner-Rivlin type fluid, which considers the effects of volume fraction (hematocrit) and influence of shear rate upon viscosity. The other component, plasma, is assumed to behave as a linear viscous fluid. A CFD solver based on OpenFOAM ® was developed and employed to simulate a specific problem, namely blood flow in a two dimensional micro-channel, is studied. Finally to better understand this two-component flow system and the effects of the different parameters, the equations are made dimensionless and a parametric study is performed.

  15. Structure and Calibration of Constitutive Equations for Granular Soils

    Directory of Open Access Journals (Sweden)

    Sawicki Andrzej

    2015-02-01

    Full Text Available The form of incremental constitutive equations for granular soils is discussed for the triaxial configuration. The classical elasto-plastic approach and the semi-empirical model are discussed on the basis of constitutive relations determined directly from experimental data. First, the general structure of elasto-plastic constitutive equations is presented. Then, the structure of semiempirical constitutive equations is described, and a method of calibrating the model is presented. This calibration method is based on a single experiment, performed in the triaxial apparatus, which also involves a partial verification of the model, on an atypical stress path. The model is shown to give reasonable predictions. An important feature of the semi-empirical incremental model is the definition of loading and unloading, which is different from that assumed in elasto-plasticity. This definition distinguishes between spherical and deviatoric loading/unloading. The definition of deviatoric loading/unloading has been subject to some criticism. It was therefore discussed and clarified in this paper on the basis of the experiment presented.

  16. On the sedimentation velocity of spheres in a polymeric liquid

    DEFF Research Database (Denmark)

    Rasmussen, Henrik Koblitz; Hassager, Ole

    1996-01-01

    A Lagrangian finite element method is used to simulate the transient sedimentation of spheres in polymeric liquids. The liquid is described by an integral constitutive equation of the Rivlin-Sawyers type. The simulations show a marked increase in the drag, which is apparently related to the elong......A Lagrangian finite element method is used to simulate the transient sedimentation of spheres in polymeric liquids. The liquid is described by an integral constitutive equation of the Rivlin-Sawyers type. The simulations show a marked increase in the drag, which is apparently related...... to the elongational flow in the wake. Furthermore, the results indicate that the sedimenting sphere geometry is a possible candidate for a rheometer capable of providing information about fluids in extensional flows....

  17. Study on the creep constitutive equation of Hastelloy X, (1)

    International Nuclear Information System (INIS)

    Suzuki, Kazuhiko; Mutoh, Yasushi

    1983-01-01

    In order to carry out the structural design of high temperature pipings, intermediate heat exchangers and isolating valves for a multipurpose high temperature gas-cooled reactor, in which coolant temperature reaches 1000 deg C, the creep characteristics of Hastelloy X used as the heat resistant material must be clarified. In addition to usual creep rupture life and the time to reach a specified creep strain, the dependence of creep strain curves on time, temperature and stress must be determined and expressed with equations. Therefore, using the creep data of Hastelloy X given in the literatures, the creep constitutive equation was made. Since the creep strain curves under the same test condition were different according to heats, the sensitivity analysis of the creep constitutive equation was performed. The form of the creep constitutive equation was determined to be Garofalo type. The result of the sensitivity analysis is reported. (Kako, I.)

  18. Development of constitutive equations for nuclear reactor core materials

    International Nuclear Information System (INIS)

    Lee, D.; Zaverl, F. Jr.; Plaza-Meyer, E.

    1980-01-01

    A set of strain rate dependent constitutive equations has been described which is capable of predicting deformation behavior of anisotropic metals under complex loading conditions with or without the presence of a neutron flux. The important feature of the constitutive equations is that they describe history dependent plastic deformation behavior of anisotropic metals under three-dimensional stress states. Since the analytical model accounts for the effect of prior deformation history at all times, it is capable of handling consecutive or simultaneous loading histories, such as post-irradiation loading, in-pile loading, etc. It is demonstrated that the general form of the constitutive relations is consistent with experimental observations made for Zircaloys under both unirradiated and irradiated conditions. (orig.)

  19. Extended irreversible thermodynamics and the Jeffreys type constitutive equations

    International Nuclear Information System (INIS)

    Serdyukov, S.I.

    2003-01-01

    A postulate of extended irreversible thermodynamics is considered, according to which the entropy density is a function of the internal energy, the specific volume, and their material time derivatives. On the basis of this postulate, entropy balance equations and phenomenological equations are obtained, which directly lead to the Jeffreys type constitutive equations

  20. Application of viscoplastic constitutive equations in finite element programs

    International Nuclear Information System (INIS)

    Hornberger, K.; Stamm, H.

    1987-04-01

    The general mathematical formulation of frequently used viscoplastic constitutive equations is explained and Robinson's model is discussed in more detail. The implementation of viscoplastic constitutive equations into Finite Element programs (such as ABAQUS) is described using Robinson's model as an example. For the numerical integration both an explicit (explicit Euler) and an implicit (generalized midpoint rule) integration scheme is utilized in combination with a time step control strategy. In the implicit integration scheme, convergence in solving a system of nonlinear algebraic equation is improved introducing a projection method. The efficiency of the implemented procedures is demonstrated for different homogeneous load cases as well as for creep loading and strain controlled cyclic loading of a perforated plate. (orig./HP) [de

  1. A New Theory of Non-Linear Thermo-Elastic Constitutive Equation of Isotropic Hyperelastic Materials

    Science.gov (United States)

    Li, Chen; Liao, Yufei

    2018-03-01

    Considering the influence of temperature and strain variables on materials. According to the relationship of conjugate stress-strain, a complete and irreducible non-linear constitutive equation of isotropic hyperelastic materials is derived and the constitutive equations of 16 types of isotropic hyperelastic materials are given we study the transformation methods and routes of 16 kinds of constitutive equations and the study proves that transformation of two forms of constitutive equation. As an example of application, the non-linear thermo-elastic constitutive equation of isotropic hyperelastic materials is combined with the natural vulcanized rubber experimental data in the existing literature base on MATLAB, The results show that the fitting accuracy is satisfactory.

  2. Materials with memory initial-boundary value problems for constitutive equations with internal variables

    CERN Document Server

    Alber, Hans-Dieter

    1998-01-01

    This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background.

  3. Elastic-Plastic Constitutive Equation of WC-Co Cemented Carbides with Anisotropic Damage

    International Nuclear Information System (INIS)

    Hayakawa, Kunio; Nakamura, Tamotsu; Tanaka, Shigekazu

    2007-01-01

    Elastic-plastic constitutive equation of WC-Co cemented carbides with anisotropic damage is proposed to predict a precise service life of cold forging tools. A 2nd rank symmetric tensor damage tensor is introduced in order to express the stress unilaterality; a salient difference in uniaxial behavior between tension and compression. The conventional framework of irreversible thermodynamics is used to derive the constitutive equation. The Gibbs potential is formulated as a function of stress, damage tensor, isotropic hardening variable and kinematic hardening variable. The elastic-damage constitutive equation, conjugate forces of damage, isotropic hardening and kinematic hardening variable is derived from the potential. For the kinematic hardening variable, the superposition of three kinematic hardening laws is employed in order to improve the cyclic behavior of the material. For the evolution equation of the damage tensor, the damage is assumed to progress by fracture of the Co matrix - WC particle interface and by the mechanism of fatigue, i.e. the accumulation of microscopic plastic strain in matrix and particles. By using the constitutive equations, calculation of uniaxial tensile and compressive test is performed and the results are compared with the experimental ones in the literature. Furthermore, finite element analysis on cold forward extrusion was carried out, in which the proposed constitutive equation was employed as die insert material

  4. Implementation of thermo-viscoplastic constitutive equations into the finite element code ABAQUS

    International Nuclear Information System (INIS)

    Youn, Sam Son; Lee, Soon Bok; Kim, Jong Bum; Lee, Hyeong Yeon; Yoo, Bong

    1998-01-01

    Sophisticated viscoplatic constitutive laws describing material behavior at high temperature have been implemented in the general-purpose finite element code ABAQUS to predict the viscoplastic response of structures to cyclic loading. Because of the complexity of viscoplastic constitutive equation, the general implementation methods are developed. The solution of the non-linear system of algebraic equations arising from time discretization is determined using line-search and back-tracking in combination with Newton method. The time integration method of the constitutive equations is based on semi-implicit method with efficient time step control. For numerical examples, the viscoplastic model proposed by Chaboche is implemented and several applications are illustrated

  5. A strategy of implementation of the improved constitutive equations for the advanced subchannel code

    International Nuclear Information System (INIS)

    Shirai, Hiroshi; Hotta, Akitoshi; Ninokata, Hisashi

    2004-01-01

    To develop the advanced subchannel analysis code, the dominant factors that influence the boiling transitional process must be taken into account in the mechanistic constitutive equations based on the flow geometries and the fluid properties. The dominant factors that influence the boiling transitional processes are (1) the gas-liquid re-distribution by cross flow, (2) the liquid film dryout, (3) the two-phase flow regime transition, (4) the droplet deposition, and (5) the spacer-droplet interaction. At first, we indicated the strategy for the development of the constitutive equations for the five dominant factors based on the experimental database by the latest measurement technique and the latest computational fluid dynamics method. Then, the problems of the present constitutive equations and the improvement plan of the constitutive equations were indicated. Finally, the layered structure for the two-phase/three-field subchannel code including the new constitutive equations was designed. (author)

  6. MINI-TRAC code: a driver program for assessment of constitutive equations of two-fluid model

    International Nuclear Information System (INIS)

    Akimoto, Hajime; Abe, Yutaka; Ohnuki, Akira; Murao, Yoshio

    1991-05-01

    MINI-TRAC code, a driver program for assessment of constitutive equations of two-fluid model, has been developed to perform assessment and improvement of constitutive equations of two-fluid model widely and efficiently. The MINI-TRAC code uses one-dimensional conservation equations for mass, momentum and energy based on the two-fluid model. The code can work on a personal computer because it can be operated with a core memory size less than 640 KB. The MINI-TRAC code includes constitutive equations of TRAC-PF1/MOD1 code, TRAC-BF1 code and RELAP5/MOD2 code. The code is modulated so that one can easily change constitutive equations to perform a test calculation. This report is a manual of the MINI-TRAC code. The basic equations, numerics, constitutive, equations included in the MINI-TRAC code will be described. The user's manual such as input description will be presented. The program structure and contents of main variables will also be mentioned in this report. (author)

  7. A constitutive equation for creep fracture under constant, variable or cyclic positive stress

    International Nuclear Information System (INIS)

    Snedden, J.D.

    1977-01-01

    Prediction of creep fracture of metals under variable stress is one of the most difficult problems of applied mechanics. At NEL this problem is under investigation using an approach in which creep is represented by two macroscopic components: an anelastic (reversible) component and a plastic (irreversible) component. Under variable loading conditions, the anelastic component's behaviour will be most important and, if an experimental programme is logically planned, the structural processes responsible will be implicit in the resulting constitutive equation describing the material's behaviour. The present paper deals with the development and application of a constitutive equation for creep fracture of RR58 Aluminium alloy at 180 0 C under variable stress and such a constitutive equation can be extrapolated to cover long-time behaviour just as with conventional constant stress creep fracture equations. Constant stress, in fact, is one of the boundary conditions of the general constitutive equation, representing zero prior damage. The other boundary condition is that of 'cadence loading' in which the stress is completely removed and then re-applied in a cyclic fashion. (Auth.)

  8. Mechanical modeling for magnetorheological elastomer isolators based on constitutive equations and electromagnetic analysis

    Science.gov (United States)

    Wang, Qi; Dong, Xufeng; Li, Luyu; Ou, Jinping

    2018-06-01

    As constitutive models are too complicated and existing mechanical models lack universality, these models are beyond satisfaction for magnetorheological elastomer (MRE) devices. In this article, a novel universal method is proposed to build concise mechanical models. Constitutive model and electromagnetic analysis were applied in this method to ensure universality, while a series of derivations and simplifications were carried out to obtain a concise formulation. To illustrate the proposed modeling method, a conical MRE isolator was introduced. Its basic mechanical equations were built based on equilibrium, deformation compatibility, constitutive equations and electromagnetic analysis. An iteration model and a highly efficient differential equation editor based model were then derived to solve the basic mechanical equations. The final simplified mechanical equations were obtained by re-fitting the simulations with a novel optimal algorithm. In the end, verification test of the isolator has proved the accuracy of the derived mechanical model and the modeling method.

  9. Constitutive equations for describing high-temperature inelastic behavior of structural alloys

    International Nuclear Information System (INIS)

    Robinson, D.N.; Pugh, C.E.; Corum, J.M.

    1976-01-01

    This paper addresses constitutive equations for the description of inelastic behavior of LMFBR structural alloys at elevated temperatures. Both elastic-plastic (time-independent) and creep (time-dependent) deformations are considered for types 304 and 316 stainless steel and 2 1 / 4 Cr--1 Mo steel. The constitutive equations identified for interim use in design analyses are described along with the assumptions and data on which they are based. Areas where improvements are needed are identified, and some alternate theories that are being pursued are outlined

  10. Constitutional equations of thermal stresses of particle-reinforced composite

    International Nuclear Information System (INIS)

    Asakawa, Atsushi; Noda, Naotake; Tohgo, Keiichiro; Tsuji, Tomoaki.

    1994-01-01

    Functionally gradient materials (FGM) have been developed as ultrahigh-heat-resistant materials in aircraft, space engineering and nuclear fields. In the heat-resistant FGM which contain particles (ceramics) in the matrix (metal), the matrix will be subjected to plastic deformation, particles will be debonded, and finally cracks will be generated. The constitutive equations of FGM which take into account the damage process and change in temperature are necessary in order to solve these phenomena. In this paper, the constitutive equations of particle-reinforced composites with consideration of the damage process and change in temperature are estimated by the equivalent inclusion method in terms of elastoplasticity. The stress-strain relations and the coefficients of linear thermal expansion of the composites (Al-PSZ and Ti-PSZ) are calculated in ultrahigh temperature. (author)

  11. Validation of constitutive equations for steel

    International Nuclear Information System (INIS)

    Valentin, T.; Magain, P.; Quik, M.; Labibes, K.; Albertini, C.

    1997-01-01

    High strain rate mechanical properties are a major concern for each steel manufacturer, especially with respect to thin sheet steel used in the automotive branch. We began to study this topic by starting a project with the following goals: acquiring reliable experimental data, understanding in depth the energy absorption in thin sheet steel and finding the right constitutive material equation. The first part of the project has been presented in. In this paper we present data computation and comparison with the existing material model theories to exploit the experimental data. (orig.)

  12. Nonlocal constitutive equations of elasto-visco-plasticity coupled with damage and temperature

    Directory of Open Access Journals (Sweden)

    Liu Weijie

    2016-01-01

    Full Text Available In this paper, the nonlocal anisothermal elasto-visco-plastic constitutive equations strongly coupled with ductile isotropic damage, nonlinear isotropic hardening and kinematic hardening are developed to model the material behaviour under finite strain. The new micromorphic variable of damage is introduced into the principle of virtual power and new additional balance equations are obtained. Thermodynamically-consistent nonlocal constitutive equations are then deduced. The evolution equations are deduced from the generalized normality rule for the Norton-Hoff visco-plastic potential. This model is used to simulate various material responses under different velocities at high temperature. The micromorphic parameters of damage: micromorphic density and H moduli are studied to examine the effects of micromorphic damage. Biaxial tension is performed to make a comparison between the local damage model and the micromorphic damage model.

  13. Evaluation of high temperature mechanical properties and constitutive equation of austenitic stainless steels

    International Nuclear Information System (INIS)

    Blanchard, P.; Tortel, J.

    1985-08-01

    A large amount of experimental data (tensile tests, creep tests, cyclic strain tests, relaxation experiments and biaxial experiments) on 17-12 Mo SPH (316 L SPH) stainless steel used for building the primary loop of Super Phenix Reactor have been obtained during the last years. The aim of this paper is to illustrate by a few examples the work done in the constitutive equations area using this powerful data base. Numerous semiempirical equations have been developed to represent tensile, cyclic, creep or relaxation tests on 17-12 Mo SPH (316 L SPH) stainless steel. These equations, althrough not being able to be properly called ''constitutive equations'' in the full sense of the word, are nevertheless very useful for design studies. Actually these semiempirical equations are necessary tools for building elastic analysis's rules. Some examples of these equations are given along with specific applications (creep-fatigue rules). The qualitative and semiquantitative comparisons of the stress-strain behaviour (both uniaxial and biaxial) predicted by the most common constitutive equations (PRAGER, MEIJERS, HART, CHABOCHE, KRIEB, MILLER, ROBINSON) with the actual behaviour of 17-12 Mo SPH (316 L SPH) steel, allows us to shed some light on the strengths and weaknesses of these equations. This comparison is presented and discussed. The way to more realistic equations is shown. A detailed and quantitative comparison of the capabilities of two models, the CHABOCHE model and the multilayer unified model which has been developed is presented

  14. On establishing constitutive equations for use in design of high-temperature fast-reactor structures

    International Nuclear Information System (INIS)

    Pugh, C.E.

    1978-01-01

    The presentation describes the approach being used to establish constitutive equations for wide use in the design of fast breeder reactor (FBR) components in the US. The approach combines exploratory experiments, constitutive model studies, studies of computational techniques, and tests of simple structural configurations. Short-time (elastic-plastic) behavior, long-time (creep) behavior, and their interactions are considered, and some of the background to equations now identified for use in current FBR design applications involving three structural alloys is discussed. Comments are also given on current efforts aimed at identifying improved constitutive equations for these alloys and on properties data required for design applications. References are cited which have addressed the status of the process at various times. (Auth.)

  15. Development and validation of constitutive equation of HBS irradiation swelling considering hydrostatic pressure

    International Nuclear Information System (INIS)

    Gao Lijun; Jiang Shengyao; Yu Jiyang; Chen Bingde; Xiao Zhong

    2014-01-01

    The mechanism of hydrostatic pressure affecting the irradiation swelling of UO_2 high burnup structure was analyzed. Three basic assumptions used to develop the constitutive equation of irradiation swelling were made accordingly. It is concluded that hydrostatic pressure imposes an important impact on irradiation swelling mainly through compressing the UO_2 high burnup structure pores. Based on the already developed correlation of the irradiation swelling of UO_2 high burnup structure, pore shrinkage due to the application of hydrostatic pressure and thus the reduction of irradiation swelling of UO_2 high burnup structure were determined quantitatively, and the constitutive equation of irradiation swelling of UO_2 high burnup structure considering the hydrostatic pressure was constructed successfully. The constitutive equation is validated using available irradiation swelling data of UO_2 high burnup structure, which demonstrates its reasonability. (authors)

  16. Direct test of a nonlinear constitutive equation for simple turbulent shear flows using DNS data

    Science.gov (United States)

    Schmitt, François G.

    2007-10-01

    Several nonlinear constitutive equations have been proposed to overcome the limitations of the linear eddy-viscosity models to describe complex turbulent flows. These nonlinear equations have often been compared to experimental data through the outputs of numerical models. Here we perform a priori analysis of nonlinear eddy-viscosity models using direct numerical simulation (DNS) of simple shear flows. In this paper, the constitutive equation is directly checked using a tensor projection which involves several invariants of the flow. This provides a 3 terms development which is exact for 2D flows, and a best approximation for 3D flows. We provide the quadratic nonlinear constitutive equation for the near-wall region of simple shear flows using DNS data, and estimate their coefficients. We show that these coefficients have several common properties for the different simple shear flow databases considered. We also show that in the central region of pipe flows, where the shear rate is very small, the coefficients of the constitutive equation diverge, indicating the failure of this representation for vanishing shears.

  17. A regression approach for Zircaloy-2 in-reactor creep constitutive equations

    International Nuclear Information System (INIS)

    Yung Liu, Y.; Bement, A.L.

    1977-01-01

    In this paper the methodology of multiple regressions as applied to Zircaloy-2 in-reactor creep data analysis and construction of constitutive equation are illustrated. While the resulting constitutive equation can be used in creep analysis of in-reactor Zircaloy structural components, the methodology itself is entirely general and can be applied to any creep data analysis. The promising aspects of multiple regression creep data analysis are briefly outlined as follows: (1) When there are more than one variable involved, there is no need to make the assumption that each variable affects the response independently. No separate normalizations are required either and the estimation of parameters is obtained by solving many simultaneous equations. The number of simultaneous equations is equal to the number of data sets. (2) Regression statistics such as R 2 - and F-statistics provide measures of the significance of regression creep equation in correlating the overall data. The relative weights of each variable on the response can also be obtained. (3) Special regression techniques such as step-wise, ridge, and robust regressions and residual plots, etc., provide diagnostic tools for model selections. Multiple regression analysis performed on a set of carefully selected Zircaloy-2 in-reactor creep data leads to a model which provides excellent correlations for the data. (Auth.)

  18. Creep constitutive equation of dual phase 9Cr-ODS steel

    International Nuclear Information System (INIS)

    Sakasegawa, Hideo; Ukai, Shigeharu; Tamura, Manabu; Ohtsuka, Satoshi; Tanigawa, Hiroyasu; Ogiwara, Hiroyuki; Kohyama, Akira; Fujiwara, Masayuki

    2008-01-01

    9Cr-ODS (oxide dispersion strengthened) steels developed by JAEA (Japan Atomic Energy Agency) have superior creep properties compared with conventional heat resistant steels. The ODS steels can enormously contribute to practical applications of fast breeder reactors and more attractive fusion reactors. Key issues are developments of material processing procedures for mass production and creep life prediction methods in present R and D. In this study, formulation of creep constitutive equation was performed against the backdrop. The 9Cr-ODS steel displaying an excellent creep property is a dual phase steel. The ODS steel is strengthened by the δ ferrite which has a finer dispersion of oxide particles and shows a higher hardness than the α' martensite. The δ ferrite functions as a reinforcement in the dual phase 9Cr-ODS steel. Its creep behavior is very unique and cannot be interpreted by conventional theories of heat resistant steels. Alternative qualitative model of creep mechanism was formulated at the start of this study using the results of microstructural observations. Based on the alternative creep mechanism model, a novel creep constitutive equation was formulated using the exponential type creep equation extended by a law of mixture

  19. Evaluation of high temperature mechanical properties and constitutive equation of austenitic stainless steels

    International Nuclear Information System (INIS)

    Blanchard, P.; Tortel, J.

    1986-07-01

    A large amount of experimental data on 17-12 Mo SPH (316 L SPH) stainless steel have been obtained during the last years. The aim of this paper is to illustrate by a few examples the work done in the constitutive equations area using this powerful data base. Numerous semiempirical equations have been developed to represent tensile, cyclic, creep or relaxation tests on 17-12 Mo SPH (316 L SPH) stainless steel used for building the primary loop of the SUPER PHENIX 1 reactor. These equations are necessary tools for building elastic analysis's rules. Some examples are given with specific applications. The qualitative and semiquantitative comparisons of the stress-strain behaviour (both uniaxial and biaxial) predicted by the most common constitutive equations with the actual behaviour of 17-12 Mo SPH (316 L SPH) steel, shed some light on the strengths and weaknesses of these equations. This comparison is presented and discussed. The way to more realistic equations is shown. A detailed and quantitative comparison of the capabilities of two models, the CHABOCHE model and the multilayer unified model, is presented

  20. Constitutive equation of butter at static loading

    Directory of Open Access Journals (Sweden)

    Šárka Nedomová

    2008-01-01

    Full Text Available This study focuses on the constitutive modelling of finite deformation in the commercially obtained butter (composition is 83 % of milk fat at the temperature 17–20 °C. The specimens from the butter (height L0=14.6 mm and diameter 20 mm have been compressed between two parallel metal plates at a fixed crosshead speed 20 mm/min using of the testing device TIRA TEST. The force F and the deformation ∆L are measured during compression and both quantities are recorded. The experimental records force F – displacement (deformation were obtained. These records have been transformed into stress–strain dependences and into true stress–true strain. The basic data on the strain behaviour of a butter under low strain rates have been obtained. Experimental results show that the behaviour of butter can be described by a hyperelastic material model. In this model, the quasi–static response is defined by compressible hyperelasticity, whereby the strain energy potential is assumed to be representable by a newly proposed polynomial series with three independent parameters. The material parameters in the constitutive model are determined from compression test. A comparison of predictions based on the proposed constitutive equation with experiments shows that the model is able to describe the strain behaviour of the butter examined.

  1. The Use of Nonlinear Constitutive Equations to Evaluate Draw Resistance and Filter Ventilation

    Directory of Open Access Journals (Sweden)

    Eitzinger B

    2014-12-01

    Full Text Available This study investigates by nonlinear constitutive equations the influence of tipping paper, cigarette paper, filter, and tobacco rod on the degree of filter ventilation and draw resistance. Starting from the laws of conservation, the path to the theory of fluid dynamics in porous media and Darcy's law is reviewed and, as an extension to Darcy's law, two different nonlinear pressure drop-flow relations are proposed. It is proven that these relations are valid constitutive equations and the partial differential equations for the stationary flow in an unlit cigarette covering anisotropic, inhomogeneous and nonlinear behaviour are derived. From these equations a system of ordinary differential equations for the one-dimensional flow in the cigarette is derived by averaging pressure and velocity over the cross section of the cigarette. By further integration, the concept of an electrical analog is reached and discussed in the light of nonlinear pressure drop-flow relations. By numerical calculations based on the system of ordinary differential equations, it is shown that the influence of nonlinearities cannot be neglected because variations in the degree of filter ventilation can reach up to 20% of its nominal value.

  2. A regression approach for zircaloy-2 in-reactor creep constitutive equations

    International Nuclear Information System (INIS)

    Yung Liu, Y.; Bement, A.L.

    1977-01-01

    In this paper the methodology of multiple regressions as applied to zircaloy-2 in-reactor creep data analysis and construction of constitutive equation are illustrated. While the resulting constitutive equation can be used in creep analysis of in-reactor zircaloy structural components, the methodology itself is entirely general and can be applied to any creep data analysis. From data analysis and model development point of views, both the assumption of independence and prior committment to specific model forms are unacceptable. One would desire means which can not only estimate the required parameters directly from data but also provide basis for model selections, viz., one model against others. Basic understanding of the physics of deformation is important in choosing the forms of starting physical model equations, but the justifications must rely on their abilities in correlating the overall data. The promising aspects of multiple regression creep data analysis are briefly outlined as follows: (1) when there are more than one variable involved, there is no need to make the assumption that each variable affects the response independently. No separate normalizations are required either and the estimation of parameters is obtained by solving many simultaneous equations. The number of simultaneous equations is equal to the number of data sets, (2) regression statistics such as R 2 - and F-statistics provide measures of the significance of regression creep equation in correlating the overall data. The relative weights of each variable on the response can also be obtained. (3) Special regression techniques such as step-wise, ridge, and robust regressions and residual plots, etc., provide diagnostic tools for model selections

  3. A constitutive equation for hot deformation range of 304 stainless steel considering grain sizes

    International Nuclear Information System (INIS)

    Parsa, M.H.; Ohadi, D.

    2013-01-01

    Highlights: • A hot deformation constitutive equation based on invariant theory is proposed. • Deformation variables are evaluated based on objectivity, entropy principle, etc. • Using hot compression tests, coefficients of equation have been found. • The ability of equation to show the variation of stress with strain is examined. - Abstract: A general constitutive equation based on the framework of invariant theory by consideration of hot deformation key variables and also the properties of the material such as initial grain size is presented in the current work. Soundness of the considered parameters to be used in the developed formula was initially verified based on the important axioms such as objectivity, entropy principle, and thermodynamics stability. To access the prediction ability of the method, the formula was simplified for the simple hot compression test. To evaluate the simplified formula, single-hit hot compression tests were carried out at the temperature range of 900–1100 °C under true strain rate of 0.01–1 s −1 on a AISI 304 stainless steel. The capability of proposed formula for reproducing the variation of flow stress with strain and the strain hardening rate with stress for the resultant flow stress data was examined. The good agreement between model predictions and actual results signified the applicability of this method as a general constitutive equation in hot deformation studies

  4. On formal structure of constitutive equations for materials exhibiting shape memory effects

    International Nuclear Information System (INIS)

    Dobovsek, I.

    2000-01-01

    A derivation of constitutive equations in a general three-dimensional setting is described, based on an additive decomposition of the rate of deformation tensor. The rate of deformation tensor is assumed to consist of an elastic part, a thermoelastic part, a plastic part, a part due to shape memory transformation, and a part due to phase transformation. The thermoelastic part due to thermoelastic coupling accounts for the influence of temperature near phase transformation, while the plastic part is taken in the form of classical J 2 flow theory of plasticity with combined isotropic and kinematic hardening, where the back stress represents a tensor of orientational microstresses. It is assumed that the phase transformation part depends on the first and the second invariant of the tensor of crystallographic distortion, on the deviatoric part of the stress tensor, and on a special evolution parameter describing the rate of forming of a new phase. The elastic part of the rate of deformation tensor is connected with the objective rate of Cauchy stress through the tensor of elastic compliance. As a result, a general form of derived constitutive equations exhibits a similar structure as constitutive relations in finite deformation plasticity. (orig.)

  5. On some constitutive equations for inelastic materials and their application

    International Nuclear Information System (INIS)

    Valeva, V.V.; Karagiozova, D.D.; Baltov, A.A.; Hadjikov, L.M.

    1987-01-01

    The problems of the mechano-mathematical modelling of the behaviour of materials under irradiation become more topical with development of atomic energetics. Many protective and technological structures could be subjected to irradiation in case of operation or average. The irradiation affects the process of deformation by causing inelastic swelling of materials, it affects their physico-mechanical properties, i.e. it changes their elastic, plastic, viscous, thermal, etc. properties. This effect varies depending on the material. Due to this reason it is very important to indicate exactly the class of materials for which a mechano-mathematical model is created. Grounding on the analysis of experimental data about the behaviour of different types of steel used in nuclear reactors and on the existing models, the present paper proposes constitutive equations for inelastic materials which account temperature, strain rate and radiation effects. The thermodynamic theory of systems with internal state parameters is utilized and for the description of the radiation effects two scalar parameters are introduced - dose φ r and temperature θ r of irradiation. Problem of the behaviour of irradiated structure element in stress concentrator zone is solved on the basis of these constitutive equations and of Boundary Element Method (BEM). (orig.)

  6. The flow behavior and constitutive equation in isothermal compression of FGH4096-GH4133B dual alloy

    International Nuclear Information System (INIS)

    Liu, Yanhui; Yao, Zekun; Ning, Yongquan; Nan, Yang; Guo, Hongzhen; Qin, Chun; Shi, Zhifeng

    2014-01-01

    Highlights: • Hot compression behaviors of the FGH4096-GH4133B dual alloy were investigated. • Constitutive equation also represented deformation behavior of a dual alloy. • The effects of deformation activation energy on the microstructures were discussed. • Constitutive equation represented an accurate and precise estimate of flow stress. - Abstract: The electron beam welding of superalloy FGH4096 and GH4133B was conducted, and the cylindrical compression specimens were machined from the central part of the electron beam weldments. Isothermal compression tests were carried out on electron beam weldments FGH4096-GH4133B alloy at the temperatures of 1020–11140 °C (the nominal γ′-transus temperature is about 1080 °C) and the strain rates of 0.001–1.0 s −1 with the height reduction of 50%. True stress–true strain curves are sensitive to the deformation temperature and strain rate, and the flow stress decreases with the increasing deformation temperature and the decreasing strain rate. The true stress–true strain curves can indicate the intrinsic relationship between the flow stress and the thermal-dynamic behavior. The apparent activation energy of deformation at the strain of 0.6 was calculated to be 550 kJ/mol, and the apparent activation energy has a great effect on the microstructure. The constitutive equation that describes the flow stress as a function of strain rate and deformation temperature was proposed for modeling the hot deformation process of FGH4096-GH4133B electron beam weldments. The constitutive equation at the strain of 0.6 was established using the hyperbolic law. The relationship between the strain and the values of parameters was studied, and the cubic functions were built. The constitutive equation during the whole process can be obtained based on the parameters under different strains. Comparing the experimental flow stress and the calculated flow stress, the constitutive equation obtained in this paper can be very good

  7. Molecular representation of molar domain (volume), evolution equations, and linear constitutive relations for volume transport.

    Science.gov (United States)

    Eu, Byung Chan

    2008-09-07

    In the traditional theories of irreversible thermodynamics and fluid mechanics, the specific volume and molar volume have been interchangeably used for pure fluids, but in this work we show that they should be distinguished from each other and given distinctive statistical mechanical representations. In this paper, we present a general formula for the statistical mechanical representation of molecular domain (volume or space) by using the Voronoi volume and its mean value that may be regarded as molar domain (volume) and also the statistical mechanical representation of volume flux. By using their statistical mechanical formulas, the evolution equations of volume transport are derived from the generalized Boltzmann equation of fluids. Approximate solutions of the evolution equations of volume transport provides kinetic theory formulas for the molecular domain, the constitutive equations for molar domain (volume) and volume flux, and the dissipation of energy associated with volume transport. Together with the constitutive equation for the mean velocity of the fluid obtained in a previous paper, the evolution equations for volume transport not only shed a fresh light on, and insight into, irreversible phenomena in fluids but also can be applied to study fluid flow problems in a manner hitherto unavailable in fluid dynamics and irreversible thermodynamics. Their roles in the generalized hydrodynamics will be considered in the sequel.

  8. A generic validation methodology and its application to a set of multi-axial creep damage constitutive equations

    International Nuclear Information System (INIS)

    Xu Qiang

    2005-01-01

    A generic validation methodology for a set of multi-axial creep damage constitutive equations is proposed and its use is illustrated with 0.5Cr0.5Mo0.25V ferritic steel which is featured as brittle or intergranular rupture. The objective of this research is to develop a methodology to guide systematically assess the quality of a set of multi-axial creep damage constitutive equations in order to ensure its general applicability. This work adopted a total quality assurance approach and expanded as a Four Stages procedure (Theories and Fundamentals, Parameter Identification, Proportional Load, and Non-proportional load). Its use is illustrated with 0.5Cr0.5Mo0.25V ferritic steel and this material is chosen due to its industry importance, the popular use of KRH type of constitutive equations, and the available qualitative experimental data including damage distribution from notched bar test. The validation exercise clearly revealed the deficiencies existed in the KRH formulation (in terms of mathematics and physics of damage mechanics) and its incapability to predict creep deformation accurately. Consequently, its use should be warned, which is particularly important due to its wide use as indicated in literature. This work contributes to understand the rational for formulation and the quality assurance of a set of constitutive equations in creep damage mechanics as well as in general damage mechanics. (authors)

  9. On the constitutive law of environment assisted fatigue: The physical meaning of the Paris type equations. Pt. 1

    International Nuclear Information System (INIS)

    Krausz, K.; Wu Xijia; Krausz, A.S.; Lian Zhiwen

    1992-01-01

    Environment assisted fatigue crack growth is a complex of thermally activated processes. Accordingly, the framework for the expression of rational constitutive law is developed from fracture kinetics theory. The correlation of the constitutive law with the Paris equation is discussed and the empirical parameters in the Paris equation are expressed explicitly in terms of activation energy, stress intensity factor range, temperature, stress ratio, and other physically rigorous engineering quantities. The theory assures and facilitates, the rigorous quantitative evaluation of the effects of the microstructure: the constitutive law gives guidance to its measurement and expresses it in terms of energy-related quantities. (orig.) [de

  10. A unified inelastic constitutive equation in terms of anisotropic yield function

    International Nuclear Information System (INIS)

    Inoue, T.; Imatani, S.

    1989-01-01

    In order to describe the material behavior under complicated loading conditions, inelastic constitutive equations accounting for the plasticity-creep interaction have been proposed by several researchers. However, these models are developed to predict the hardening and/or softening phenomena during the inelastic deformation processes, and two important features still remain to be considered; material anisotropy induced by the prior deformation history and inelastic flow or, in another word, directionality of the inelastic strain rate. This paper deals with a unified constitutive model capable of expressing both the deformation-induced anisotropy and the anisotropic flow. In the first part of the paper, an anisotropic yield function which can simulate both the Bauschinger effect and the cross effect is proposed. Then, the excess stress theory is applied to a viscoplastic constitutive relationship so as to describe the plasticity-creep interaction behavior. The experimental verification is carried out for SUS304 stainless steel at 650 degrees C in a biaxial stress state. Moreover, a generalized flow rule of the inelastic strain rate is also developed, by which the description of the ratcheting process can be improved

  11. Simulating sympathetic detonation using the hydrodynamic models and constitutive equations

    Energy Technology Data Exchange (ETDEWEB)

    Kim, Bo Hoon; Kim, Min Sung; Yoh, Jack J. [Dept. of Mechanical and Aerospace Engineering, Seoul National University, Seoul (Korea, Republic of); Sun, Tae Boo [Hanwha Corporation Defense Rand D Center, Daejeon (Korea, Republic of)

    2016-12-15

    A Sympathetic detonation (SD) is a detonation of an explosive charge by a nearby explosion. Most of times it is unintended while the impact of blast fragments or strong shock waves from the initiating donor explosive is the cause of SD. We investigate the SD of a cylindrical explosive charge (64 % RDX, 20 % Al, 16 % HTPB) contained in a steel casing. The constitutive relations for high explosive are obtained from a thermo-chemical code that provides the size effect data without the rate stick data typically used for building the rate law and equation of state. A full size SD test of eight pallet-packaged artillery shells is performed that provides the pressure data while the hydrodynamic model with proper constitutive relations for reactive materials and the fragmentation model for steel casing is conducted to replicate the experimental findings. The work presents a novel effort to accurately model and reproduce the sympathetic detonation event with a reduced experimental effort.

  12. Hot workability of γ + α2 titanium aluminide: Development of processing map and constitutive equations

    International Nuclear Information System (INIS)

    Gupta, R.K.; Narayana Murty, S.V.S.; Pant, Bhanu; Agarwala, Vijaya; Sinha, P.P.

    2012-01-01

    Highlights: ► Deformation studies of five TiAl alloys carried out through processing map. ► DRX domain and superplastic domain identified in power efficiency map. ► Safe working zone for alloys found at 1223–1423 K at strain rates (10 −2 –10 −3 s −1 ). ► Strain rate sensitivity, activation energy, Zener Hollomon parameter (Z) are obtained. ► Constitutive equations derived and verified. DRX grain size correlated with Z. - Abstract: Gamma titanium alumindes are intermetallics, which have very narrow working range. Hot isothermal working is the most suitable process for hot working of alloy. Accordingly, hot isothermal compression test is carried out on reaction synthesized and homogenized titanium aluminide alloys at different temperatures and strain rates using Gleeble thermomechanical simulator. Three alloys of Ti48Al2Cr2Nb0.1B (atom%) have been used in the study. Stress–strain data obtained from the test has been used to construct processing map, which indicates the safe and unsafe working zone. Strain rate sensitivity and Zener–Hollomon parameter has been calculated. Further, constitutive equations have been generated and verified. It is found that alloy has good workability in the temperature range of 1223–1423 K at strain rates of 0.01–0.001 s −1 . In this range of parameters, the alloys nearly follow the constitutive equations.

  13. Creep-recovery constitutive equation and its time-independent limit

    International Nuclear Information System (INIS)

    Chang, S.J.

    1978-01-01

    The effect of strain recovery is taken into consideration in establishing a constitutive equation for metals at elevated temperatures. Internal state variables and Rice's flow potential are used in the representation. Growth law for the state variables is discussed and interpreted to be a more general form of the kinematic hardening condition. Yield condition is obtained from the flow law. Accordingly, the flow rule is established with the effect of the recovery mechanism, as a slightly general version of the time-independent theory with the kinematic hardening rule. In the discussion of the time-independent limit, the duration of time required for the inelastic strain to reach its saturated value is defined

  14. Determination of parameters for a stress-strain constitutive equation considering time-dependent behavior of Toki granite

    International Nuclear Information System (INIS)

    Hirano, Toru; Seno, Yasuhiro; Nakama, Shigeo; Okubo, Seisuke

    2008-01-01

    Toki granite was tested to obtain parameters for the constitutive equation. The testing method was uniaxial compressive loading at the moderate a constant strain rate that is decreased after yielding to obtain the complete stress-strain curve. In addition, two kinds of the strain rate were alternately switched to obtain the parameter n from one specimen. The n represents the strength time-dependence in the constitutive equation. The second parameter m can be obtained by fitting the experimental stress-strain curve to the calculated curve. The m accounts for the behavior after yielding. According to the results, Toki granite has n=52 and m=60, showing relatively weak time-dependence of creep failure. (author)

  15. Experimental testing and constitutive modeling of the mechanical properties of the swine skin tissue.

    Science.gov (United States)

    Łagan, Sylwia D; Liber-Kneć, Aneta

    2017-01-01

    The aim of the study was an estimation of the possibility of using hyperelastic material models to fit experimental data obtained in the tensile test for the swine skin tissue. The uniaxial tensile tests of samples taken from the abdomen and back of a pig was carried out. The mechanical properties of the skin such as the mean Young's modulus, the mean maximum stress and the mean maximum elongation were calculated. The experimental data have been used to identify the parameters in specific strain-energy functions given in seven constitutive models of hyperelastic materials: neo-Hookean, Mooney-Rivlin, Ogden, Yeoh, Martins, Humphrey and Veronda-Westmann. An analysis of errors in fitting of theoretical and experimental data was done. Comparison of load -displacement curves for the back and abdomen regions of skin taken showed a different scope of both the mean maximum loading forces and the mean maximum elongation. Samples which have been prepared from the abdominal area had lower values of the mean maximum load compared to samples from the spine area. The reverse trend was observed during the analysis of the values of elongation. An analysis of the accuracy of model fitting to the experimental data showed that, the least accurate were the model of neo- -Hookean, model of Mooney-Rivlin for the abdominal region and model of Veronda-Westmann for the spine region. An analysis of seven hyperelastic material models showed good correlations between the experimental and the theoretical data for five models.

  16. Development of multidimensional two-fluid model code ACE-3D for evaluation of constitutive equations

    Energy Technology Data Exchange (ETDEWEB)

    Ohnuki, Akira; Akimoto, Hajime [Japan Atomic Energy Research Inst., Tokai, Ibaraki (Japan). Tokai Research Establishment; Kamo, Hideki

    1996-11-01

    In order to perform design calculations for a passive safety reactor with good accuracy by a multidimensional two-fluid model, we developed an analysis code, ACE-3D, which can apply for evaluation of constitutive equations. The developed code has the following features: 1. The basic equations are based on 3-dimensional two-fluid model and the orthogonal or the cylindrical coordinate system can be selected. The fluid system is air-water or steam-water. 2. The basic equations are formulated by the finite-difference scheme of staggered mesh. The convection term is formulated by an upwind scheme and the diffusion term by a center-difference scheme. 3. Semi-implicit numerical scheme is adopted and the mass and the energy equations are treated equally in convergent steps for Jacobi equations. 4. The interfacial stress term consists of drag force, life force, turbulent dispersion force, wall force and virtual mass force. 5. A {kappa}-{epsilon} turbulent model for bubbly flow is incorporated as the turbulent model. The predictive capability of ACE-3D has been verified using a data-base for bubbly flow in a small-scale vertical pipe. In future, the constitutive equations will be improved with a data-base in a large vertical pipe developed in our laboratory and we have a plan to construct a reliable analytical tool through the improvement work, the progress of calculational speed with vector and parallel processing, the assessments for phase change terms and so on. This report describes the outline for the basic equations and the finite-difference equations in ACE-3D code and also the outline for the program structure. Besides, the results for the assessments of ACE-3D code for the small-scale pipe are summarized. (author)

  17. Development of multidimensional two-fluid model code ACE-3D for evaluation of constitutive equations

    International Nuclear Information System (INIS)

    Ohnuki, Akira; Akimoto, Hajime; Kamo, Hideki.

    1996-11-01

    In order to perform design calculations for a passive safety reactor with good accuracy by a multidimensional two-fluid model, we developed an analysis code, ACE-3D, which can apply for evaluation of constitutive equations. The developed code has the following features: 1. The basic equations are based on 3-dimensional two-fluid model and the orthogonal or the cylindrical coordinate system can be selected. The fluid system is air-water or steam-water. 2. The basic equations are formulated by the finite-difference scheme of staggered mesh. The convection term is formulated by an upwind scheme and the diffusion term by a center-difference scheme. 3. Semi-implicit numerical scheme is adopted and the mass and the energy equations are treated equally in convergent steps for Jacobi equations. 4. The interfacial stress term consists of drag force, life force, turbulent dispersion force, wall force and virtual mass force. 5. A κ-ε turbulent model for bubbly flow is incorporated as the turbulent model. The predictive capability of ACE-3D has been verified using a data-base for bubbly flow in a small-scale vertical pipe. In future, the constitutive equations will be improved with a data-base in a large vertical pipe developed in our laboratory and we have a plan to construct a reliable analytical tool through the improvement work, the progress of calculational speed with vector and parallel processing, the assessments for phase change terms and so on. This report describes the outline for the basic equations and the finite-difference equations in ACE-3D code and also the outline for the program structure. Besides, the results for the assessments of ACE-3D code for the small-scale pipe are summarized. (author)

  18. Phenomenological inelastic constitutive equations for SiC and SiC fibers under irradiation

    International Nuclear Information System (INIS)

    El-Azab, A.; Ghoniem, N.M.

    1994-01-01

    Experimental data on irradiation-induced dimensional changes and creep in β-SiC and SiC fibers is analyzed, with the objective of studying the constitutive behavior of these materials under high-temperature irradiation. The data analysis includes empirical representation of irradiation-induced dimensional changes in SiC matrix and SiC fibers as function of time and irradiation temperature. The analysis also includes formulation of simple scaling laws to extrapolate the existing data to fusion conditions on the basis of the physical mechanisms of radiation effects on crystalline solids. Inelastic constitutive equations are then developed for SCS-6 SiC fibers, Nicalon fibers and CVD SiC. The effects of applied stress, temperature, and irradiation fields on the deformation behavior of this class of materials are simultaneously represented. Numerical results are presented for the relevant creep functions under the conditions of the fusion reactor (ARIES IV) first wall. The developed equations can be used in estimating the macro mechanical properties of SiC-SiC composite systems as well as in performing time-dependent micro mechanical analysis that is relevant to slow crack growth and fiber pull-out under fusion conditions

  19. Constitutive equations for extensional flow of wormlike micelles : stability analysis of the Bautista-Manero model

    NARCIS (Netherlands)

    Boek, E.S.; Padding, J.T.; Anderson, V.J.; Tardy, P.M.J.; Crawshaw, J.P.; Pearson, J.R.A.

    2005-01-01

    We carry out a stability analysis of the Bautista-Manero (B-M) constitutive equations for extensional flow of wormlike micelles. We show that all solutions for the steady-state extensional viscosity ¿E are unstable when the elongational rates e exceed some critical value. In some cases the only real

  20. Modification of Flow Stress Curves and Constitutive Equations During Hot Compression Deformation of 5083 Aluminum Alloy

    Directory of Open Access Journals (Sweden)

    FU Ping

    2017-08-01

    Full Text Available The flow stress behavior of 5083 aluminum alloy was investigated under hot compression deformation at 523-723K,strain rates of 0.01-10s-1 and true strains of 0-0.7 with Gleeble-3800 thermal simulator. Based on the heat transfer effect on alloy deformation heat effect, the flow stress curves were corrected. The results show that influence of heat conduction can not be neglected and becomes more obvious with the increase of true strain. The corrected flow stress has little influence on the peak stress, but the steady flow stress softening trends to be diminished to some degree. The flow stress can be predicted by the Zener-Hollomon parameters in the constitutive equation. The corrected measured value exhibits a good agreement with the flow stress predicted by the constitutive equation, and the average relative error is only 5.21%.

  1. New constitutive equations to describe infinitesimal elastic-plastic deformations

    International Nuclear Information System (INIS)

    Boecke, B.; Link, F.; Schneider, G.; Bruhns, O.T.

    1983-01-01

    A set of constitutive equations is presented to describe infinitesimal elastic-plastic deformations of austenitic steel in the range up to 600 deg C. This model can describe the hardening behaviour in the case of mechanical loading and hardening, and softening behaviour in the case of thermal loading. The loading path can be either monotonic or cyclic. For this purpose, the well-known isotropic hardening model is continually transferred into the kinematic model according to Prager, whereby suitable internal variables are chosen. The occurring process-dependent material functions are to be determined by uniaxial experiments. The hardening function g and the translation function c are determined by means of a linearized stress-strain behaviour in the plastic range, whereby a coupling condition must be taken into account. As a linear hardening process is considered to be too unrealistic, nonlinearity is achieved by introducing a small function w, the determination procedure of which is given. (author)

  2. Comparison between the Norton - and Mukherjee constitutive equations in the determination of stress - strain analysis of a material under creep

    International Nuclear Information System (INIS)

    Bevilacqua, L.; Feijoo, R.A.; Freire, J.L.; Miranda, P.E.V. de; Monteiro, E.; Silveira, T.L. da; Taroco, E.

    1981-06-01

    The Norton and Mukherjee constitutive equations are used to approximate the experimental results of creep in AISI 304 steel. Both equations are applied to the stress-strain analysis of a rotating disk with a concentric circular hole. From the design point of view it is shown that the stresses obtained with both equations are equivalents, which is not true for the velocities. (Author) [pt

  3. Development of PARA-ID Code to Simulate Inelastic Constitutive Equations and Their Parameter Identifications for the Next Generation Reactor Designs

    International Nuclear Information System (INIS)

    Koo, Gyeong Hoi; Lee, J. H.

    2006-03-01

    The establishment of the inelastic analysis technology is essential issue for a development of the next generation reactors subjected to elevated temperature operations. In this report, the peer investigation of constitutive equations in points of a ratcheting and creep-fatigue analysis is carried out and the methods extracting the constitutive parameters from experimental data are established. To perform simulations for each constitutive model, the PARA-ID (PARAmeter-IDentification) computer program is developed. By using this code, various simulations related with the parameter identification of the constitutive models are carried out

  4. Stability of non-linear constitutive formulations for viscoelastic fluids

    CERN Document Server

    Siginer, Dennis A

    2014-01-01

    Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids provides a complete and up-to-date view of the field of constitutive equations for flowing viscoelastic fluids, in particular on their non-linear behavior, the stability of these constitutive equations that is their predictive power, and the impact of these constitutive equations on the dynamics of viscoelastic fluid flow in tubes. This book gives an overall view of the theories and attendant methodologies developed independently of thermodynamic considerations as well as those set within a thermodynamic framework to derive non-linear rheological constitutive equations for viscoelastic fluids. Developments in formulating Maxwell-like constitutive differential equations as well as single integral constitutive formulations are discussed in the light of Hadamard and dissipative type of instabilities.

  5. [Reiner Nürnberg, Ekkehard Höxtermann, Martina Voigt. Elisabeth Schiemann 1881-1972. Vom AußBruch der Genetik und der Frauen in den UmBrüchen des 20. Jahrhunderts] / Monika von Hirschheydt

    Index Scriptorium Estoniae

    Hirschheydt, Monika von

    2015-01-01

    Arvustus: Nürnberg, Reiner, Höxtermann, Ekkehard, Voigt, Martina. Elisabeth Schiemann 1881-1972. Vom AußBruch der Genetik und der Frauen in den UmBrüchen des 20. Jahrhunderts. Beiträge eines Symposiums zum 200. Gründungsjubiläum der Humboldt-Universität Berlin. Rangsdorf: Basilisken-Presse 2014

  6. Constitutive equations for energy balance evaluation in metals under inelastic deformation

    Science.gov (United States)

    Kostina, A.; Plekhov, O.; Venkatraman, B.

    2017-12-01

    The work is devoted to the development of constitutive equations for energy balance evaluation in plastically deformed metals. The evolution of the defect system is described by a previously obtained model based on the Boltzmann-Gibbs statistics. In the framework of this model, a collective behavior of mesodefect ensembles is taken into account by the introduction of an internal variable representing additional structural strain. This parameter enables the partition of plastic work into dissipated heat and stored energy. The proposed model is applied to energy balance calculation in a Ti-1Al-1Mn specimen subjected to cyclic loading. Simulation results have shown that the model is able to describe an upward trend in the stored energy value with the increase in the load ratio.

  7. Anisotropic constitutive equations for the viscoplastic behaviour of the single crystal superalloy CMSX-4

    International Nuclear Information System (INIS)

    Fleury, G.; Schubert, F.

    1997-09-01

    Nickel-base superalloy blades of the first rotor stage in a gas turbine have to withstand extremely severe thermomechanical loading conditions. Single crystal blades exhibit a highly anisotropic deformation behaviour and are subjected to triaxial stress fields induced by complex cooling systems. Consequently the prediction of their deformation behaviour requires constitutive equations based on multiaxial formulations. The microstructural evolution of γ/γ' superalloys during the service time modifies the material properties and has therefore to be taken into account in the constitutive equations. For the modelling of the anisotropic, viscoplastic behaviour of single crystal blades taking into account the evolution of the microstructure, a microstructure-dependent, orthotropic Hills potential, whose anisotropy coefficients are connected to the edge length of the γ'-particles, is applied. The prediction was validated by investigating the deformation behaviour of the superalloy CMSX-4 in the range of temperatures [750 C-950 C]. If the shape of γ'-particles remain cubic, for example, in creep testing at low temperatures (up to about 850 C), the microstructure-dependent potential leads to the cubic version of the Hills potential. The prediction is in good agreement with creep results for left angle 001 right angle - and left angle 111 right angle - orientated specimens but overestimates the creep resistance of left angle 011 right angle - orientated specimens. (orig.)

  8. Constitutive Modelling of Resins in the Stiffness Domain

    Science.gov (United States)

    Klasztorny, M.

    2004-09-01

    An analytic method for inverting the constitutive compliance equations of viscoelasticity for resins is developed. These equations describe the HWKK/H rheological model, which makes it possible to simulate, with a good accuracy, short-, medium- and long-term viscoelastic processes in epoxy and polyester resins. These processes are of first-rank reversible isothermal type. The time histories of deviatoric stresses are simulated with three independent strain history functions of fractional and normal exponential types. The stiffness equations are described by two elastic and six viscoelastic constants having a clear physic meaning (three long-term relaxation coefficients and three relaxation times). The time histories of axiatoric stresses are simulated as perfectly elastic. The inversion method utilizes approximate constitutive stiffness equations of viscoelasticity for the HWKK/H model. The constitutive compliance equations for the model are a basis for determining the exact complex shear stiffness, whereas the approximate constitutive stiffness equations are used for determining the approximate complex shear stiffness. The viscoelastic constants in the stiffness domain are derived by equating the exact and approximate complex shear stiffnesses. The viscoelastic constants are obtained for Epidian 53 epoxy and Polimal 109 polyester resins. The accuracy of the approximate constitutive stiffness equations are assessed by comparing the approximate and exact complex shear stiffnesses. The constitutive stiffness equations for the HWKK/H model are presented in uncoupled (shear/bulk) and coupled forms. Formulae for converting the constants of shear viscoelasticity into the constants of coupled viscoelasticity are given as well.

  9. Some trends in constitutive equation model development for high-temperature behavior of fast-reactor structural alloys

    International Nuclear Information System (INIS)

    Pugh, C.E.; Robinson, D.N.

    1977-01-01

    The paper addresses some important features of the inelastic behavior of 2 1 / 4 Cr--1Mo steel and indicates a mathematical framework that is capable of representing these types of response. While the constitutive model discussed embraces capabilities beyond those of equations presently used in design analyses; their implementation into practicable analysis methods (such as finite-element programs) is more demanding. For example, in the case of slow time-dependent deformations, the equations governing accumulation of the inelastic strain components and the evolution of the tensorial state variable α are intimately coupled. A part of recommending any such model for use in design must be a quantitative assessment of the economic feasibility of implementation

  10. A structure-based constitutive equation for filler-reinforced rubber-like networks and for the description of the Mullins effect

    Czech Academy of Sciences Publication Activity Database

    Meissner, Bohumil; Matějka, Libor

    2006-01-01

    Roč. 47, č. 23 (2006), s. 7997-8012 ISSN 0032-3861 R&D Projects: GA ČR GA203/05/2252 Institutional research plan: CEZ:AV0Z40500505 Keywords : elastomers * fillers * constitutive equation Subject RIV: CD - Macromolecular Chemistry Impact factor: 2.773, year: 2006

  11. A three-dimensional constitutive model for shape memory alloy

    International Nuclear Information System (INIS)

    Zhou, Bo; Yoon, Sung-Ho; Leng, Jin-Song

    2009-01-01

    Shape memory alloy (SMA) has a wide variety of practical applications due to its unique super-elasticity and shape memory effect. It is of practical interest to establish a constitutive model which predicts its phase transformation and mechanical behaviors. In this paper, a new three-dimensional phase transformation equation, which predicts the phase transformation behaviors of SMA, is developed based on the results of a differential scanning calorimetry (DSC) test. It overcomes both limitations: that Zhou's phase transformation equations fail to describe the phase transformation from twinned martensite to detwinned martensite of SMA and Brinson's phase transformation equation fails to express the influences of phase transformation peak temperatures on the phase transformation behaviors of SMA. A new three-dimensional constitutive equation, which predicts the mechanical behaviors associated with the super-elasticity and shape memory effect of SMA, is developed on the basis of thermodynamics and solid mechanics. Results of numerical simulations show that the new constitutive model, which includes the new phase transformation equation and constitutive equation, can predict the phase transformation and mechanical behaviors associated with the super-elasticity and shape memory effect of SMA precisely and comprehensively. It is proved that Brinson's constitutive model of SMA can be considered as one special case of the new constitutive model

  12. Time-independent limit of a creep-recovery constitutive equation

    International Nuclear Information System (INIS)

    Chang, S.J.

    1984-01-01

    The effect of strain recovery is taken into consideration in ORNL efforts to establish unified constitutive equations for time-dependent plastic deformation for metals at elevated temperatures. Representation by internal state variables and Rice's flow potential are under consideration. Here the growth law for the internal state variables is discussed and interpreted in terms of a generalized form of the kinematic hardening condition of Prager. The yield condition is obtained from the flow potential representation of the inelastic strain rate. A consistency condition is derived from the yield condition and leads to a flow rule which assumes a slightly general form as compared with that of the classical plasticity due to the effect of strain recovery and the time-dependent property of the yield condition. Based on this representation, the time-independent limit is discussed. From a vanishing effect of recovery and a rate-independent limit for the yield condition at low temperature, this flow rule reduces to the well-known form of time-independent plasticity with a kinematic hardening condition. The duration of time (the characteristic time) required for the inelastic strain to reach its saturated value is defined for the inelastic loading condition. It provides the measure of a minimum duration of time which is required for a valid approximation made by the time-independent plasticity model

  13. [Jörg Zägel (in Zusammenarbeit mit Reiner Steinweg). Vergangenheitsdiskurse in der Ostseeregion. Bd. 1. Auseinandersetzungen in den nordischen Staaten über Krieg. Völkermord, Diktatur, Besatzung und Vertreibung; B. 2 : Die Sicht auf Krieg, Diktat

    Index Scriptorium Estoniae

    Hecker-Stampehl, Jan

    2011-01-01

    Arvustus : Jörg Zägel (in Zusammenarbeit mit Reiner Steinweg). Vergangenheitsdiskurse in der Ostseeregion. Bd. 1. Auseinandersetzungen in den nordischen Staaten über Krieg. Völkermord, Diktatur, Besatzung und Vertreibung. Berlin : LIT Verlag, 2007. (Kieler Schriften zur Friedenswissenschaft. 14); Bd. 2 : Die Sicht auf Krieg, Diktatur, Völkermord, Besatsung und Vertreibung in Russland, Polen und den baltischen Staaten. Berlin: Lit Verlag, 2007. (Kieler Schriften zur Friedenswissenschaft. 15)

  14. Implementation of constitutive equations for creep damage mechanics into the ABAQUS finite element code - some practical cases in high temperature component design and life assessment

    International Nuclear Information System (INIS)

    Segle, P.; Samuelson, L.Aa.; Andersson, Peder; Moberg, F.

    1996-01-01

    Constitutive equations for creep damage mechanics are implemented into the finite element program ABAQUS using a user supplied subroutine, UMAT. A modified Kachanov-Rabotnov constitutive equation which accounts for inhomogeneity in creep damage is used. With a user defined material a number of bench mark tests are analyzed for verification. In the cases where analytical solutions exist, the numerical results agree very well. In other cases, the creep damage evolution response appear to be realistic in comparison with laboratory creep tests. The appropriateness of using the creep damage mechanics concept in design and life assessment of high temperature components is demonstrated. 18 refs

  15. Well-posed two-temperature constitutive equations for stable dense fluid shock waves using molecular dynamics and generalizations of Navier-Stokes-Fourier continuum mechanics.

    Science.gov (United States)

    Hoover, Wm G; Hoover, Carol G

    2010-04-01

    Guided by molecular dynamics simulations, we generalize the Navier-Stokes-Fourier constitutive equations and the continuum motion equations to include both transverse and longitudinal temperatures. To do so we partition the contributions of the heat transfer, the work done, and the heat flux vector between the longitudinal and transverse temperatures. With shockwave boundary conditions time-dependent solutions of these equations converge to give stationary shockwave profiles. The profiles include anisotropic temperature and can be fitted to molecular dynamics results, demonstrating the utility and simplicity of a two-temperature description of far-from-equilibrium states.

  16. Constitutive relations for nuclear reactor core materials

    International Nuclear Information System (INIS)

    Zaverl, F. Jr.; Lee, D.

    1978-01-01

    A strain rate dependent constitutive equation is proposed which is capable of describing inelastic deformation behavior of anisotropic metals, such as Zircaloys, under complex loading conditions. The salient features of the constitutive equations are that they describe history dependent inelastic deformation behaviour of anisotropic metals under three-dimensional stress states in the presence of fast neutron flux. It is shown that the general form of the constitutive relations is consistent with experimental observations made under both unirradiated and irradiated conditions. The utility of the model is demonstrated by examining the analytical results obtained for a segment of tubing undergoing different loading histories in a reactor. (Auth.)

  17. Constitutive behavior of as-cast AA1050, AA3104, and AA5182

    Science.gov (United States)

    van Haaften, W. M.; Magnin, B.; Kool, W. H.; Katgerman, L.

    2002-07-01

    Recent thermomechanical modeling to calculate the stress field in industrially direct-chill (DC) cast-aluminum slabs has been successful, but lack of material data limits the accuracy of these calculations. Therefore, the constitutive behavior of three aluminum alloys (AA1050, AA3104, and AA5182) was determined in the as-cast condition using tensile tests at low strain rates and from room temperature to solidus temperature. The parameters of two constitutive equations, the extended Ludwik equation and a combination of the Sellars-Tegart equation with a hardening law, were determined. In order to study the effect of recovery, the constitutive behavior after prestraining at higher temperatures was also investigated. To evaluate the quantified constitutive equations, tensile tests were performed simulating the deformation and cooling history experienced by the material during casting. It is concluded that both constitutive equations perform well, but the combined hardening-Sellars-Tegart (HST) equation has temperature-independent parameters, which makes it easier to implement in a DC casting model. Further, the deformation history of the ingot should be taken into account for accurate stress calculations.

  18. The Boundary Layer Flows of a Rivlin-Ericksen Fluid

    Science.gov (United States)

    Sadeghy, K.; Khabazi, N.; Taghavi, S. M.

    The present work deals with the two-dimensional incompressible, laminar, steady-state boundary layer equations. First, we determine a family of velocity distributions outside the boundary layer such that these problems may have similarity solutions. We study the Falkner-Skan flow of a viscoelastic fluid governed by second order model, as the Reynolds number Re→ ∞. We obtain an ordinary forth order differential equation to obtain the stream function, velocity profile and the stress. The stream function is then governed by a generalized Falkner-Skan equation. In comparison with Newtonian Falkner-Skan equation that has two coefficients this new one has four coefficients that two of them represent elastic properties of the fluid. The effects of the elastic parameter on the velocity filed have been discussed. As it is shown in the figure there is a good agreement between numerical results and previous special cases confirm the validity of the presented algorithm.

  19. Obtention of the constitutive equation of hydride blisters in fuel cladding from nanoindentation tests

    Energy Technology Data Exchange (ETDEWEB)

    Martin Rengel, M.A., E-mail: mamartin.rengel@upm.es [E.T.S.I. Caminos, Canales y Puertos, Universidad Politécnica de Madrid, c/ Profesor Aranguren, 3, E-28040 Madrid (Spain); Gomez, F.J., E-mail: javier.gomez@amsimulation.com [Advanced Material Simulation, AMS, Bilbao (Spain); Rico, A., E-mail: alvaro.rico@urjc.es [DIMME, Universidad Rey Juan Carlos, Mostoles (Spain); Ruiz-Hervias, J. [E.T.S.I. Caminos, Canales y Puertos, Universidad Politécnica de Madrid, c/ Profesor Aranguren, 3, E-28040 Madrid (Spain); Rodriguez, J. [DIMME, Universidad Rey Juan Carlos, Mostoles (Spain)

    2017-04-15

    It is well known that the presence of hydrides in nuclear fuel cladding may reduce its mechanical and fracture properties. This situation may be worsened as a consequence of the formation of hydride blisters. These blisters are zones with an extremely high hydrogen concentration and they are usually associated to the oxide spalling which may occur at the outer surface of the cladding. In this work, a method which allows us to reproduce, in a reliable way, hydride blisters in the laboratory has been devised. Depth-sensing indentation tests with a spherical indenter were conducted on a hydride blister produced in the laboratory with the aim of measuring its mechanical behaviour. The plastic stress-strain curve of the hydride blister was calculated for first time by combining depth-sensing indentation tests results with an iterative algorithm using finite element simulations. The algorithm employed reduces, in each iteration, the differences between the numerical and the experimental results by modifying the stress-strain curve. In this way, an almost perfect adjustment of the experimental data was achieved after several iterations. The calculation of the constitutive equation of the blister from nanoindentation tests, may involve a lack of uniqueness. To evaluate it, a method based on the optimization of parameters of analytical equations has been proposed in this paper. An estimation of the error which involves this method is also provided.

  20. Using constitutive equation gap method for identification of elastic material parameters: Technical insights and illustrations

    KAUST Repository

    Florentin, Éric

    2011-08-09

    The constitutive equation gap method (CEGM) is a well-known concept which, until now, has been used mainly for the verification of finite element simulations. Recently, CEGM-based functional has been proposed to identify local elastic parameters based on experimental full-field measurement. From a technical point of view, this approach requires to quickly describe a space of statically admissible stress fields. We present here the technical insights, inspired from previous works in verification, that leads to the construction of such a space. Then, the identification strategy is implemented and the obtained results are compared with the actual material parameters for numerically generated benchmarks. The quality of the identification technique is demonstrated that makes it a valuable tool for interactive design as a way to validate local material properties. © 2011 Springer-Verlag.

  1. A new constitutive equation for strain hardening and softening of fcc metals during severe plastic deformation

    International Nuclear Information System (INIS)

    Wei, W.; Wei, K.X.; Fan, G.J.

    2008-01-01

    The stress-strain relationship for strain hardening and softening of high-purity aluminum and copper, which were deformed by equal channel angular pressing (ECAP) at ambient temperature, was analyzed by combining the Estrin and Mecking (EM) model and an Avrami-type equation with experimental data during severe plastic deformation. The initial strain hardening can be described by the EM model, while the flow stress arrives at the peak stress after it was saturated. However, strain softening similar to plastic deformation at high temperatures is observed after the peak stress. Moreover, the peak strain at the maximum flow stress is ∼4 for copper and ∼2 for aluminum. A new constitutive equation was developed to describe strain softening at high strain levels, which was supported well by tensile, compression and microhardness tests at room temperature and low strain rate. It was observed that dynamic recovery and recrystallization occurs in copper, and recrystallized grains and their growth in aluminum. The results indicate that dynamic recovery and recrystallization was the dominant softening mechanism, which was confirmed by scanning electron microscopy-electron channeling contrast observations and the abnormal relationship between the imposed strain during ECAP and subsequent recrystallization temperature after ECAP

  2. A constitutive theory of reacting electrolyte mixtures

    Science.gov (United States)

    Costa Reis, Martina; Wang, Yongqi; Bono Maurizio Sacchi Bassi, Adalberto

    2013-11-01

    A constitutive theory of reacting electrolyte mixtures is formulated. The intermolecular interactions among the constituents of the mixture are accounted for through additional freedom degrees to each constituent of the mixture. Balance equations for polar reacting continuum mixtures are accordingly formulated and a proper set of constitutive equations is derived with basis in the Müller-Liu formulation of the second law of thermodynamics. Moreover, the non-equilibrium and equilibrium responses of the reacting mixture are investigated in detail by emphasizing the inner and reactive structures of the medium. From the balance laws and constitutive relations, the effects of molecular structure of constituents upon the fluid flow are studied. It is also demonstrated that the local thermodynamic equilibrium state can be reached without imposing that the set of independent constitutive variables is time independent, neither spatially homogeneous nor null. The resulting constitutive relations presented throughout this work are of relevance to many practical applications, such as swelling of clays, developing of bio and polymeric membranes, and use of electrorheological fluids in industrial processes. The first author acknowledges financial support from National Counsel of Technological and Scientific Development (CNPq) and German Academic Exchange Service (DAAD).

  3. Multiaxial probabilistic elastic-plastic constitutive simulations of soils

    Science.gov (United States)

    Sadrinezhad, Arezoo

    Fokker-Planck-Kolmogorov (FPK) equation approach has recently been developed to simulate elastic-plastic constitutive behaviors of materials with uncertain material properties. The FPK equation approach transforms the stochastic constitutive rate equation, which is a stochastic, nonlinear, ordinary differential equation (ODE) in the stress-pseudo time space into a second-order accurate, deterministic, linear FPK partial differential equation (PDE) in the probability density of stress-pseudo time space. This approach does not suffer from the drawbacks of the traditional approaches such as the Monte Carlo approach and the perturbation approach for solving nonlinear ODEs with random coefficients. In this study, the existing one dimensional FPK framework for probabilistic constitutive modeling of soils is extended to multi--dimension. However, the multivariate FPK PDEs cannot be solved using the traditional mathematical techniques such as finite difference techniques due to their high computational cost. Therefore, computationally efficient algorithms based on the Fourier spectral approach are developed for solving a class of FPK PDEs that arises in probabilistic elasto-plasticity. This class includes linear FPK PDEs in (stress) space and (pseudo) time - having space-independent but time-dependent, and both space- and time-dependent coefficients - with impulse initial conditions and reflecting boundary conditions. The solution algorithms, rely on first mapping the stress space of the governing PDE between 0 and 2pi using the change of coordinates rule, followed by approximating the solution of the PDE in the 2pi-periodic domain by a finite Fourier series in the stress space and unknown time-dependent solution coefficients. Finally, the time-dependent solution coefficients are obtained from the initial condition. The accuracy and efficiency of the developed algorithms are tested. The developed algorithms are used to simulate uniaxial and multiaxial, monotonic and cyclic

  4. Creep constitutive equations for a 0.5Cr 0.5 Mo 0.25V ferritic steel in the temperature range 565 deg. C-675 deg. C

    International Nuclear Information System (INIS)

    Mustata, R.; Hayhurst, D.R.

    2005-01-01

    A two damage state variable model is used to describe the softening mechanisms, damage initiation and growth for a low alloy ferritic steel 1/2Cr-1/2Mo-1/4V at 565 and 590 deg. C within the Continuum Damage Mechanics framework. The level of complexity of the constitutive equations and the degree of coupling through damage is high and it is difficult to calibrate values of the constitutive constants without recourse to optimisation techniques. A methodology for the analysis of uni-axial experimental data, coupled with a traditional gradient-based optimisation technique, is presented for the unique determination of the constitutive constants. Two sets of experimental data on parent material are used for inversion purposes: at 565 deg. C, c.f. Cane [Cane BJ. Collaborative programme on the corelation of test data for high temperature design of welded steam pipes. Presentation and analysis of the material data. Note No. RD/L/2101N81, March, CEGB Laboratory; 1981]; and, at 590 deg. C, c.f. Miller [Miller DA. Private communication: 'Creep rupture testing of Cr M V pipe steel. ERA Project 63-01-040320009'. Barnwood, Gloucs, UK: British Energy; 2000]. The variation of the constitutive parameters with temperature in the range 565-590 deg. C has been deduced by considering the values of constitutive parameters for the same alloy deduced by Perrin and Hayhurst [Perrin IJ, Hayhurst DR. Creep constitutive equations for a 0.5Cr-0.5Mo-0.25V ferritic steel in the temperature range 600-675 deg. C. J Strain Anal 1996;31:299-314] in the temperature range 620-675 deg. C

  5. Constitutive Equation and Hot Compression Deformation Behavior of Homogenized Al–7.5Zn–1.5Mg–0.2Cu–0.2Zr Alloy

    Directory of Open Access Journals (Sweden)

    Jianliang He

    2017-10-01

    Full Text Available The deformation behavior of homogenized Al–7.5Zn–1.5Mg–0.2Cu–0.2Zr alloy has been studied by a set of isothermal hot compression tests, which were carried out over the temperature ranging from 350 °C to 450 °C and the strain rate ranging from 0.001 s−1 to 10 s−1 on Gleeble-3500 thermal simulation machine. The associated microstructure was studied using electron back scattered diffraction (EBSD and transmission electron microscopy (TEM. The results showed that the flow stress is sensitive to strain rate and deformation temperature. The shape of true stress-strain curves obtained at a low strain rate (≤0.1 s−1 conditions shows the characteristic of dynamic recrystallization (DRX. Two Arrhenius-typed constitutive equation without and with strain compensation were established based on the true stress-strain curves. Constitutive equation with strain compensation has more precise predictability. The main softening mechanism of the studied alloy is dynamic recovery (DRV accompanied with DRX, particularly at deformation conditions, with low Zener-Holloman parameters.

  6. Rheological behavior and constitutive equations of heterogeneous titanium-bearing molten slag

    Science.gov (United States)

    Jiang, Tao; Liao, De-ming; Zhou, Mi; Zhang, Qiao-yi; Yue, Hong-rui; Yang, Song-tao; Duan, Pei-ning; Xue, Xiang-xin

    2015-08-01

    Experimental studies on the rheological properties of a CaO-SiO2-Al2O3-MgO-TiO2-(TiC) blast furnace (BF) slag system were conducted using a high-temperature rheometer to reveal the non-Newtonian behavior of heterogeneous titanium-bearing molten slag. By measuring the relationships among the viscosity, the shear stress and the shear rate of molten slags with different TiC contents at different temperatures, the rheological constitutive equations were established along with the rheological parameters; in addition, the non-Newtonian fluid types of the molten slags were determined. The results indicated that, with increasing TiC content, the viscosity of the molten slag tended to increase. If the TiC content was less than 2wt%, the molten slag exhibited the Newtonian fluid behavior when the temperature was higher than the critical viscosity temperature of the molten slag. In contrast, the molten slag exhibited the non-Newtonian pseudoplastic fluid characteristic and the shear thinning behavior when the temperature was less than the critical viscosity temperature. However, if the TiC content exceeded 4wt%, the molten slag produced the yield stress and exhibited the Bingham and plastic pseudoplastic fluid behaviors when the temperature was higher and lower than the critical viscosity temperature, respectively. When the TiC content increased further, the yield stress of the molten slag increased and the shear thinning phenomenon became more obvious.

  7. Influence of constitutive equations and calculation methods on the results of inelastic analysis of benchmark problems

    International Nuclear Information System (INIS)

    Konter, A.W.A.; Kusters, G.M.A.

    1981-01-01

    Several constitutive equations are used to analyse the structural behaviour of a simply supported beam and circular plate loaded at its center, both tested at 1100 0 F. The time-independent plastic behaviour has been analysed with the isotropic and kinematic hardening model as well as with the ORNL 10th cycle model and the fraction model of Besseling. The time-dependent creep behaviour has been analysed using the isotropic hardening rules and the ORNL auxiliary hardening rules. No interaction of the creep and plastic behaviour was taken into account. Especially for cyclic loading conditions, large differences occur in the predictions of the inelastic behaviour. Good agreement between theory and prediction can be obtained with models which accurately account for the ratio of kinematic and saturating isotropic hardening of the used material. (orig./HP)

  8. Identification of the parameters of an elastic material model using the constitutive equation gap method

    KAUST Repository

    Florentin, Éric

    2010-04-23

    Today, the identification ofmaterialmodel parameters is based more and more on full-field measurements. This article explains how an appropriate use of the constitutive equation gap method (CEGM) can help in this context. The CEGM is a well-known concept which, until now, has been used mainly for the verification of finite element simulations. This has led to many developments, especially concerning the techniques for constructing statically admissible stress fields. The originality of the present study resides in the application of these recent developments to the identification problem. The proposed CEGM is described in detail, then evaluated through the identification of heterogeneous isotropic elastic properties. The results obtained are systematically compared with those of the equilibrium gap method, which is a well-known technique for the resolution of such identification problems. We prove that the use of the enhanced CEGM significantly improves the quality of the results. © Springer-Verlag 2010.

  9. Modelling, simulation and experiment of the spherical flexible joint stiffness

    Directory of Open Access Journals (Sweden)

    S. Li

    2018-02-01

    Full Text Available The spherical flexible joint is extensively used in engineering. It is designed to provide flexibility in rotation while bearing vertical compression load. The linear rotational stiffness of the flexible joint is formulated. The rotational stiffness of the bonded rubber layer is related to inner radius, thickness and two edge angles. FEM is used to verify the analytical solution and analyze the stiffness. The Mooney–Rivlin, Neo Hooke and Yeoh constitutive models are used in the simulation. The experiment is taken to obtain the material coefficient and validate the analytical and FEM results. The Yeoh model can reflect the deformation trend more accurately, but the error in the nearly linear district is bigger than the Mooney–Rivlin model. The Mooney–Rivlin model can fit the test result very well and the analytical solution can also be used when the rubber deformation in the flexible joint is small. The increase of Poisson's ratio of the rubber layers will enhance the vertical compression stiffness but barely have effect on the rotational stiffness.

  10. A constitutive model for concrete under dynamic loading

    International Nuclear Information System (INIS)

    Suaris, W.; Shah, S.P.

    1983-01-01

    A continuous damage theory for the quasistatic and dynamic behaviour of concrete is presented. The continuous damage theory is rational choice for use in predicing the dynamic behaviour of concrete as the strain-rate effects that have been observed for concrete can to a large extent be attributed to the rate-sensitivity of the microcracking process. A vectorial representation is adopted for the damage to account for the planar nature of the microcracks in concrete. Damage is treated as an internal state variable influencing the free energy of the material and the constitutive equations and the damage evolution equations are derived consistently using thermodynamic considerations. The developed constitutive model is then calibrated by using test results in flexure and compression over a range of strain-rates. The constitutive model is also shown to be capable of predicting certain other experimentally observed characteristics of the dynamic response of concrete. (orig./HP)

  11. The one-parameter-model - a constitutive equation applied to a heat resistant alloy

    International Nuclear Information System (INIS)

    Schwarze, E.; Schuster, H.; Nickel, H.

    1992-01-01

    In the present work a constitutive model earlier developed and used to predict experimental results of hot tests and fatigue tests from creep experiments of metallic materials were modified to comply with the properties of a high temperature resistant material. The improved model accounts for the properties of a material developing a density and a structure of dislocation lines which are capable of interactions with particles (carbides) from a second phase. The time and temperature dependent evolution of the carbide structure has been described by an equation which explains the formation of seeds as well as their growths (Ostwald ripening). The extended model was applied to Incoloy 800H which is known to develop a carbide structure. Therefore hot tensile and fatigue tests, creep and relaxation experiments using the heats ADU and BAK (KFA specifications) at temperature between 800deg C and 900deg C were performed including both solution treated specimens and specimens heat treated for 10, 100 and 1000 hours. As compared with the results from tensile tests where the carbide structures play a subordinated role, alternately, these structures have a decisive influence on the creep properties of specimens during the primary creep phase, i.e. low stresses and high temperatures. (orig.) [de

  12. A study on creep-fatigue life analysis using a unified constitutive equation and a continuous damage law

    International Nuclear Information System (INIS)

    Hiroe, Tetsuyuki; Igari, Toshihide; Nakajima, Keiichi

    1986-01-01

    A newly developed type of life analysis is introduced using a unified constitutive equation and a continuous damage law on 2 1/4Cr - 1Mo steel at 600 deg C. the viscoplasticity theory based on total strain and overstress used for the rate effect at room temperature is extended for application to the inelastic analysis at elevated temperature, and the extended uniaxial model is shown to reproduce the inelastic stress and strain behavior with a strain rate change observed in the experiment. The incremental life prediction law is employed and its coupling with the viscoplasticity model produces both an inelastic stress-strain response and the damage accumulation, simultaneously and continuously. The life prediction for creep, fatigue and creep-fatigue loading shows good correspondence with the experimental data. (author)

  13. The constitutive distributed parameter model of multicomponent chemical processes in gas, fluid and solid phase

    International Nuclear Information System (INIS)

    Niemiec, W.

    1985-01-01

    In the literature of distributed parameter modelling of real processes is not considered the class of multicomponent chemical processes in gas, fluid and solid phase. The aim of paper is constitutive distributed parameter physicochemical model, constructed on kinetics and phenomenal analysis of multicomponent chemical processes in gas, fluid and solid phase. The mass, energy and momentum aspects of these multicomponent chemical reactions and adequate phenomena are utilized in balance operations, by conditions of: constitutive invariance for continuous media with space and time memories, reciprocity principle for isotropic and anisotropic nonhomogeneous media with space and time memories, application of definitions of following derivative and equation of continuity, to the construction of systems of partial differential constitutive state equations, in the following derivative forms for gas, fluid and solid phase. Couched in this way all physicochemical conditions of multicomponent chemical processes in gas, fluid and solid phase are new form of constitutive distributed parameter model for automatics and its systems of equations are new form of systems of partial differential constitutive state equations in sense of phenomenal distributed parameter control

  14. Limitations of constitutive relations for TiNi shape memory alloys

    International Nuclear Information System (INIS)

    Tang, W.; Sandstroem, R.

    1995-01-01

    Phase transformation tensor Ω in the constitutive equation proposed by Tanaka has been evaluated by employing experimental data of TiNi alloys in a constrained recovery process. It demonstrates that the absolute value of Ω for the constrained recovery process is typically about 0.6 ∼ 0.7 x 10 3 MPa, which is much smaller than that for the stress - induced martensitic transformation (typically 2.5 ∼ 3.5 x 10 3 ). Based on the evaluated results for Ω, predicted recovery stress - temperature relations by the constitutive equation are compared with the experimental data for TiNi rods under different strains. Big discrepancy exists for large strain conditions. Several transformation kinetic expressions are examined for the constitutive relation of the constrained recovery process. (orig.)

  15. Modeling flow stress constitutive behavior of SA508-3 steel for nuclear reactor pressure vessels

    Energy Technology Data Exchange (ETDEWEB)

    Sun Mingyue, E-mail: mysun@imr.ac.cn [Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang 110016 (China); Luhan, Hao; Shijian, Li; Dianzhong, Li; Yiyi, Li [Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang 110016 (China)

    2011-11-15

    Highlights: > A series of flow stress constitutive equations for SA508-3 steel were successfully established. > The experimental results under different conditions have validated the constitutive equations. > An industrial application of the model was present to simulate a large conical shell forging process. - Abstract: Based on the measured stress-strain curves under different temperatures and strain rates, a series of flow stress constitutive equations for SA508-3 steel were firstly established through the classical theories on work hardening and softening. The comparison between the experimental and modeling results has confirmed that the established constitutive equations can correctly describe the mechanical responses and microstructural evolutions of the steel under various hot deformation conditions. We further represented a successful industrial application of this model to simulate a forging process for a large conical shell used in a nuclear steam generator, which evidences its practical and promising perspective of our model with an aim of widely promoting the hot plasticity processing for heavy nuclear components of fission reactors.

  16. EXTENSIÓN DE UNA ECUACIÓN CONSTITUTIVA HIPOPLÁSTICA PARA SIMULAR ENSAYOS TRIAXIALES CÍCLICOS EXTENSION OF A HYPOPLASTIC CONSTITUTIVE EQUATION TO SIMULATE CYCLIC TRIAXIAL TESTS

    Directory of Open Access Journals (Sweden)

    Hugo Alexander Rondón Quintana

    2010-08-01

    Full Text Available La ecuación constitutiva hipoplástica es una herramienta matemática que puede simular de manera confiable el comportamiento que experimentan materiales granulares no tratados (GNT bajo carga estática y monotónica. Sin embargo, para el caso de cargas cíclicas, como las que ocurren en un pavimento, la ecuación sobreestima la acumulación de las deformaciones permanentes. En el presente artículo se presenta una versión extendida de la ecuación constitutiva hipoplástica de Wolffersdorff (1996 (una de las más utilizadas actualmente en el mundo que intenta mejorar dicha limitación. Adicionalmente se presenta la simulación de ensayos triaxiales cíclicos con presión de confinamiento constante y variable (los cuales son los más utilizados en el mundo para estudiar el comportamiento de GNT en pavimentos utilizando la versión extendida. Las simulaciones realizadas demuestran la amplia capacidad que tiene la ecuación hipoplástica para reproducir el comportamiento que el material granular experimenta en los ensayos cíclicos.Hypoplastic constitutive equation is a mathematical tool which offers the possibility to reliably simulate unbound granular materials (UGM behavior under static and monotonic loads. However, such equation overestimates the permanent strain accumulation under cyclic loads (e.g. in a pavement structure. This paper presents an extension of the Wolffersdorff's Hypoplastic constitutive equation (1996 (currently one of the most used equations, aiming for improving its performance under cyclic loads. Beside this, cyclic triaxial tests simulations are presented using the extended version with constant and variable confining pressures. Triaxial tests are the most used when studying UGM behavior in pavements. Simulation results demonstrated the ability of the proposed equation for reproducing the behavior of granular materials under cyclic tests.

  17. A vorticity based approach to handle the fluid-structure interaction problems

    Energy Technology Data Exchange (ETDEWEB)

    Farahbakhsh, Iman; Ghassemi, Hassan [Department of Ocean Engineering, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of); Sabetghadam, Fereidoun, E-mail: i.farahbakhsh@aut.ac.ir [Mechanical and Aerospace Engineering Department, Science and Research Branch, Islamic Azad University (IAU), Tehran (Iran, Islamic Republic of)

    2016-02-15

    A vorticity based approach for the numerical solution of the fluid-structure interaction problems is introduced in which the fluid and structure(s) can be viewed as a continuum. Retrieving the vorticity field and recalculating a solenoidal velocity field, specially at the fluid-structure interface, are the kernel of the proposed algorithm. In the suggested method, a variety of constitutive equations as a function of left Cauchy–Green deformation tensor can be applied for modeling the structure domain. A nonlinear Mooney–Rivlin and Saint Venant–Kirchhoff model are expressed in terms of the left Cauchy–Green deformation tensor and the presented method is able to model the behavior of a visco-hyperelastic structure in the incompressible flow. Some numerical experiments, with considering the neo-Hookean model for structure domain, are executed and the results are validated via the available results from literature. (paper)

  18. Modeling flow stress constitutive behavior of SA508-3 steel for nuclear reactor pressure vessels

    International Nuclear Information System (INIS)

    Sun Mingyue; Hao Luhan; Li Shijian; Li Dianzhong; Li Yiyi

    2011-01-01

    Highlights: → A series of flow stress constitutive equations for SA508-3 steel were successfully established. → The experimental results under different conditions have validated the constitutive equations. → An industrial application of the model was present to simulate a large conical shell forging process. - Abstract: Based on the measured stress-strain curves under different temperatures and strain rates, a series of flow stress constitutive equations for SA508-3 steel were firstly established through the classical theories on work hardening and softening. The comparison between the experimental and modeling results has confirmed that the established constitutive equations can correctly describe the mechanical responses and microstructural evolutions of the steel under various hot deformation conditions. We further represented a successful industrial application of this model to simulate a forging process for a large conical shell used in a nuclear steam generator, which evidences its practical and promising perspective of our model with an aim of widely promoting the hot plasticity processing for heavy nuclear components of fission reactors.

  19. Constitutive modelling in the range of inelastic deformations

    International Nuclear Information System (INIS)

    Bruhns, O.T.; White, P.S.; Chaboche, J.L.; Eikhoff, J.V.D.

    1988-01-01

    The main objective of this report is to describe the state of the art in constitutive modelling in the range of inelastic deformations, with particular consideration of the practical use of these models in the field of fast reactors, rather than to formulate new models. An outline is given of the constitutive equations for high-temperature reactor materials developed at the Oak Ridge National Laboratory. Two forms of equations are considered, a semi-classical treatment in terms of separate plasticity and creep and unified equations in which the classical plasticity does not explicitly occur. The fraction model originally proposed by Besseling is described. The basic concept of this model is that the material is thought to be subdivided into a number of parallel fractions, each with simple conventional properties. The more complicated behaviour of real material is thus approximated by choosing a number of parallel fractions with suitable models and model parameters. Three time-independent formulations of plasticity are considered and compared. Attention is focused on the kinematic hardening in the multi-yield surface theory of Mroz and the non-linear kinematic rule intensively used at Enset and Onera. Some connections are pointed out with the two-surface model of Dafalias and Popov, and the range of applicability of the different models is studied in detail. Finally, the constitutive equations of the Interatom model are presented. They are mainly based on the concept of overstresses, expressing the rate-dependence of the material by the magnitude of these overstresses. This model furthermore comprises a combination of general non-linear isotropic and kinematic hardening, with a smooth transition from isotropic to kinematic hardening as a function of process time

  20. A modified parallel constitutive model for elevated temperature flow behavior of Ti-6Al-4V alloy based on multiple regression

    Energy Technology Data Exchange (ETDEWEB)

    Cai, Jun; Shi, Jiamin; Wang, Kuaishe; Wang, Wen; Wang, Qingjuan; Liu, Yingying [Xi' an Univ. of Architecture and Technology, Xi' an (China). School of Metallurgical Engineering; Li, Fuguo [Northwestern Polytechnical Univ., Xi' an (China). School of Materials Science and Engineering

    2017-07-15

    Constitutive analysis for hot working of Ti-6Al-4V alloy was carried out by using experimental stress-strain data from isothermal hot compression tests. A new kind of constitutive equation called a modified parallel constitutive model was proposed by considering the independent effects of strain, strain rate and temperature. The predicted flow stress data were compared with the experimental data. Statistical analysis was introduced to verify the validity of the developed constitutive equation. Subsequently, the accuracy of the proposed constitutive equations was evaluated by comparing with other constitutive models. The results showed that the developed modified parallel constitutive model based on multiple regression could predict flow stress of Ti-6Al-4V alloy with good correlation and generalization.

  1. The compressive behaviour and constitutive equation of polyimide foam in wide strain rate and temperature

    Directory of Open Access Journals (Sweden)

    Yoshimoto Akifumi

    2015-01-01

    Full Text Available These days, polymer foams, such as polyurethane foam and polystyrene foam, are used in various situations as a thermal insulator or shock absorber. In general, however, their strength is insufficient in high temperature environments because of their low glass transition temperature. Polyimide is a polymer which has a higher glass transition temperature and high strength. Its mechanical properties do not vary greatly, even in low temperature environments. Therefore, polyimide foam is expected to be used in the aerospace industry. Thus, the constitutive equation of polyimide foam that can be applied across a wide range of strain rates and ambient temperature is very useful. In this study, a series of compression tests at various strain rates, from 10−3 to 103 s−1 were carried out in order to examine the effect of strain rate on the compressive properties of polyimide foam. The flow stress of polyimide foam increased rapidly at dynamic strain rates. The effect of ambient temperature on the properties of polyimide foam was also investigated at temperature from − 190 °C to 270°∘C. The flow stress decreased with increasing temperature.

  2. Constitutive representation of damage development and healing in WIPP salt

    International Nuclear Information System (INIS)

    Chan, K.S.; Bodner, S.R.; Fossum, A.F.; Munson, D.E.

    1994-01-01

    There has been considerable interest in characterizing and modeling the constitutive behavior of rock salt with particular reference to long-term creep and creep failure. The interest is motivated by the projected use of excavated rooms in salt rock formations as repositories for nuclear waste. It is presumed that closure of those rooms by creep ultimately would encapsulate the waste material, resulting in its effective isolation. A continuum mechanics approach for treating damage healing is formulated as part of a constitutive model for describing coupled creep, fracture, and healing in rock salt. Formulation of the healing term is, described and the constitutive model is evaluated against experimental data of rock salt from the Waste Isolation Pilot Plant (WIPP) site. The results indicate that healing anistropy in WIPP salt can be modeled with an appropriate power-conjugate equivalent stress, kinetic equation, and evolution equation for damage healing

  3. Constitutive modelling of sandvik 1RK91

    NARCIS (Netherlands)

    Datta, K.; Datta, K.; Hommes, M.; Post, J.; Geijselaers, Hubertus J.M.; Huetink, Han; Beyer, J.; Onate, E; Owen, D.R.J

    2003-01-01

    A physically based constitutive equation is being developed for the maraging stainless steel Sandvik 1RK91. The steel is used to make precision parts. These parts are formed through multistage forming operations and heat treatments from cold rolled and annealed sheets. The specific alloy is designed

  4. Basic equations of interfacial area transport in gas-liquid two-phase flow

    International Nuclear Information System (INIS)

    Kataoka, I.; Yoshida, K.; Naitoh, M.; Okada, H.; Morii, T.

    2011-01-01

    The rigorous and consistent formulations of basic equations of interfacial area transport were derived using correlation functions of characteristic function of each phase and velocities of each phase. Turbulent transport term of interfacial area concentration was consistently derived and related to the difference between interfacial velocity and averaged velocity of each phase. Constitutive equations of turbulent transport terms of interfacial area concentration were proposed for bubbly flow. New transport model and constitutive equations were developed for churn flow. These models and constitutive equations are validated by experimental data of radial distributions of interfacial area concentration in bubbly and churn flow. (author)

  5. Time-Delay Effects on Constitutive Gene Expression*

    International Nuclear Information System (INIS)

    Feng Yan-Ling; Wang Dan; Tang Xu-Lei; Dong Jian-Min

    2017-01-01

    The dynamics of constitutive gene expression with delayed mRNA degradation is investigated, where the intrinsic noise caused by the small number of reactant molecules is introduced. It is found that the oscillatory behavior claimed in previous investigations does not appear in the approximation of small time delay, and the steady state distribution still follows the Poisson law. Furthermore, we introduce the extrinsic noise induced by surrounding environment to explore the effects of this noise and time delay on the Fano factor. Based on a delay Langevin equation and the corresponding Fokker–Planck equation, the distribution of mRNA copy-number is achieved analytically. The time delay and extrinsic noise play similar roles in the gene expression system, that is, they are able to result in the deviation of the Fano factor from 1 evidently. The measured Fano factor for constitutive gene expression is slightly larger than 1, which is perhaps attributed to the time-delay effect. (paper)

  6. Preliminary Test for Constitutive Models of CAP

    Energy Technology Data Exchange (ETDEWEB)

    Choo, Yeon Joon; Hong, Soon Joon; Hwang, Su Hyun; Lee, Keo Hyung; Kim, Min Ki; Lee, Byung Chul [FNC Tech., Seoul (Korea, Republic of); Ha, Sang Jun; Choi, Hoon [Korea Electric Power Research Institute, Daejeon (Korea, Republic of)

    2010-05-15

    The development project for the domestic design code was launched to be used for the safety and performance analysis of pressurized light water reactors. As a part of this project, CAP (Containment Analysis Package) code has been developing for the containment safety and performance analysis side by side with SPACE. The CAP code treats three fields (vapor, continuous liquid and dispersed drop) for the assessment of containment specific phenomena, and is featured by assessment capabilities in multi-dimensional and lumped parameter thermal hydraulic cell. Thermal hydraulics solver was developed and has a significant progress now. Implementation of the well proven constitutive models and correlations are essential in other for a containment code to be used with the generalized or optimized purposes. Generally, constitutive equations are composed of interfacial and wall transport models and correlations. These equations are included in the source terms of the governing field equations. In order to develop the best model and correlation package of the CAP code, various models currently used in major containment analysis codes, such as GOTHIC, CONTAIN2.0 and CONTEMPT-LT are reviewed. Several models and correlations were incorporated for the preliminary test of CAP's performance and test results and future plans to improve the level of execution besides will be discussed in this paper

  7. Preliminary Test for Constitutive Models of CAP

    International Nuclear Information System (INIS)

    Choo, Yeon Joon; Hong, Soon Joon; Hwang, Su Hyun; Lee, Keo Hyung; Kim, Min Ki; Lee, Byung Chul; Ha, Sang Jun; Choi, Hoon

    2010-01-01

    The development project for the domestic design code was launched to be used for the safety and performance analysis of pressurized light water reactors. As a part of this project, CAP (Containment Analysis Package) code has been developing for the containment safety and performance analysis side by side with SPACE. The CAP code treats three fields (vapor, continuous liquid and dispersed drop) for the assessment of containment specific phenomena, and is featured by assessment capabilities in multi-dimensional and lumped parameter thermal hydraulic cell. Thermal hydraulics solver was developed and has a significant progress now. Implementation of the well proven constitutive models and correlations are essential in other for a containment code to be used with the generalized or optimized purposes. Generally, constitutive equations are composed of interfacial and wall transport models and correlations. These equations are included in the source terms of the governing field equations. In order to develop the best model and correlation package of the CAP code, various models currently used in major containment analysis codes, such as GOTHIC, CONTAIN2.0 and CONTEMPT-LT are reviewed. Several models and correlations were incorporated for the preliminary test of CAP's performance and test results and future plans to improve the level of execution besides will be discussed in this paper

  8. Formulation and integration of constitutive models describing large deformations in thermoplasticity and thermoviscoplasticity

    International Nuclear Information System (INIS)

    Jansohn, W.

    1997-10-01

    This report deals with the formulation and numerical integration of constitutive models in the framework of finite deformation thermomechanics. Based on the concept of dual variables, plasticity and viscoplasticity models exhibiting nonlinear kinematic hardening as well as nonlinear isotropic hardening rules are presented. Care is taken that the evolution equations governing the hardening response fulfill the intrinsic dissipation inequality in every admissible process. In view of the development of an efficient numerical integration procedure, simplified versions of these constitutive models are supposed. In these versions, the thermoelastic strains are assumed to be small and a simplified kinematic hardening rule is considered. Additionally, in view of an implementation into the ABAQUS finite element code, the elasticity law is approximated by a hypoelasticity law. For the simplified onstitutive models, an implicit time-integration algorithm is developed. First, in order to obtain a numerical objective integration scheme, use is made of the HUGHES-WINGET-Algorithm. In the resulting system of ordinary differential equations, it can be distinguished between three differential operators representing different physical effects. The structure of this system of differential equations allows to apply an operator split scheme, which leads to an efficient integration scheme for the constitutive equations. By linearizing the integration algorithm the consistent tangent modulus is derived. In this way, the quadratic convergence of Newton's method used to solve the basic finite element equations (i.e. the finite element discretization of the governing thermomechanical field equations) is preserved. The resulting integration scheme is implemented as a user subroutine UMAT in ABAQUS. The properties of the applied algorithm are first examined by test calculations on a single element under tension-compression-loading. For demonstrating the capabilities of the constitutive theory

  9. Irreversible thermodynamics models and constitutive equations of the irradiation induced deformation and damage accumulating processes

    International Nuclear Information System (INIS)

    Wassilew, C.

    1989-11-01

    This report gives an overall evaluation of several in-reactor deformation and creep-rupture experiments performed in BR-2, FFTF, and Rapsodie on pressurised tubes of the stabilized austenitic stainless steels 1.4970, 1.4981, 1.4988, and the nickel base alloy Hastelloy-X. The irradiation induced deformation processes observed in the components operating in a neutron environment can be divided into two main groups: 1. volume conserving creep and 2. volumetric swelling. Since the observed deformation as well as damage accumulating phenomena are caused by the same constrained generated and free disposable point defects and helium atoms, it is obvious and advisable to analyze, and to model simultaneously the ensemble of the elementary mechanisms and processes effective at the same time. Phenomenological models based on the thermodynamics of irreversible processes have been developed, with the aim of: 1. grasping the partial relationships between the external variables and the response functions (creep, swelling, creep driven swelling, and time to rupture), 2. fathoming the rate-controlling mechanisms, 3. providing insight into the structural details and changes occurring during the deformation and the damage accumulating processes, 4. integrating the damage accumulating processes comprehensively, and 5. formulating the constitutive equations required to describe the elementary processes that generate plastic deformations as well as damage accumulation. (orig./MM)

  10. Description of creep-plasticity interaction with non-unified constitutive equations: Application to an austenitic stainless steel

    International Nuclear Information System (INIS)

    Contesti, E.; Cailletaud, G.

    1989-01-01

    We present constitutive equations able to account for time independent plasticity together with creep and creep-plasticity interaction. A classical decomposition of the inelastic strain into a time independent plastic strain and a time dependent viscoplastic part is assumed. The coupling between both deformation modes (i.e. creep and plasticity) is obtained through an interaction between the plastic and viscoplastic state variables. In a first part, the capabilities of the model are described, and qualitative identifications are given in order to characterize the behaviour of the model. The practical applicability of the model is then tested, mainly using test results from the literature, but also specific data including creep, relaxation and tensile tests with various loading rates, as reported in the paper. The model is found able to discriminate between the increase of hardening produced by plasticity or creep. The effect of the loading rate on the subsequent amount of relaxation is correctly described and a good general agreement is observed between experiment and model predictions, even for complex loading paths (monotonic with temporary unloading periods, multiaxial loading paths in the stress space). (orig.)

  11. Anisotropic constitutive equation for use in finite difference wave propagation calculations. [Incorporation into TOODY code

    Energy Technology Data Exchange (ETDEWEB)

    Swegle, J.W.; Hicks, D.L.

    1979-05-01

    An anisotropic constitutive relation was incorporated into the Lagrangian finite-difference wavecode TOODY. The details of the implementation of the constitutive relation in the wavecode and an example of its use are discussed. 4 figures, 1 table.

  12. Constitutive modeling for analysis and design of aluminum sheet forming processes

    International Nuclear Information System (INIS)

    Barlat, F.; Chung, K.; Yoon, J-W.; Choi, S-H.

    2000-01-01

    Finite element modeling (FEM) technology is one of the most powerful tools used to design new products, i.e. appliances, automotive, rigid packaging and aerospace parts, etc., and processes. However, FEM users need data and models to characterize the materials used to fabricate the new products. In fact, they need more information than the traditional and standard yield strength, ultimate strength, elongation, etc. Constitutive models and their associated coefficients represent a new way to describe material properties, a way that can be used by FEM users. In order to help manufacturers use more aluminum alloy sheet in their products, appropriate material models are needed to analyze and design specifically for these materials. This work describes a methodology that provides phenomenological constitutive equations based on three main microstructure components of aluminum alloys: dislocation density, second-phase particles and crystallographic texture. Examples of constitutive equations and their applications to numerical sheet forming process analysis and design are provided in this work. (author)

  13. Modeling of rock friction 1. Experimental results and constitutive equations

    International Nuclear Information System (INIS)

    Dieterich, J.H.

    1979-01-01

    Direct shear experiments on ground surfaces of a granodiorite from Raymond, California, at normal stresses of approx.6 MPa demonstrate that competing time, displacement, and velocity, effects control rock friction. It is proposed that the strength of the population of points of contacts between sliding surfaces determines frictional strength and that the population of contacts changes continuously with displacements. Previous experiments demonstrate that the strength of the contacts increases with the age of the contacts. The present experiments establish that a characteristic displacement, proportional to surface roughness, is required to change the population of contacts. Hence during slip the average age of the points of contact and therefore frictional strength decrease as slip velocity increases. Displacement weakening and consequently the potential for unstable slip occur whenever displacement reduces the average age of the contacts. In addition to this velocity dependency, which arises from displacement dependency and time dependency, the experiments also show a competing but transient increase in friction whenever slip velocity increases. Creep of the sliding surface at stresses below that for steady state slip also observed. Constitutive relationships are developed that permit quantitative simulation of the friction versus displacement data as a function of surface roughness and for different time and velocity histories. Unstable slip in experiments is controlled by these constitutive effects and by the stiffness of the experimental system. It is argued that analogous properties control earthquake instability

  14. The Riemannian geometry is not sufficient for the geometrization of the Maxwell's equations

    Science.gov (United States)

    Kulyabov, Dmitry S.; Korolkova, Anna V.; Velieva, Tatyana R.

    2018-04-01

    The transformation optics uses geometrized Maxwell's constitutive equations to solve the inverse problem of optics, namely to solve the problem of finding the parameters of the medium along the paths of propagation of the electromagnetic field. For the geometrization of Maxwell's constitutive equations, the quadratic Riemannian geometry is usually used. This is due to the use of the approaches of the general relativity. However, there arises the question of the insufficiency of the Riemannian structure for describing the constitutive tensor of the Maxwell's equations. The authors analyze the structure of the constitutive tensor and correlate it with the structure of the metric tensor of Riemannian geometry. It is concluded that the use of the quadratic metric for the geometrization of Maxwell's equations is insufficient, since the number of components of the metric tensor is less than the number of components of the constitutive tensor. A possible solution to this problem may be a transition to Finslerian geometry, in particular, the use of the Berwald-Moor metric to establish the structural correspondence between the field tensors of the electromagnetic field.

  15. On constitutive modelling and information for phenomenal distributed parameter control of multicomponent chemical processes in fluid- and solidphase

    International Nuclear Information System (INIS)

    Niemiec, W.

    1985-01-01

    The problem under consideration is to find common physicochemical conditions of kinetics and phenomena of multicomponent chemical processes in fluid- and solidphase, deciding yield and quality of final products of these processes. The paper is devoted to the construction of a fundamental distributed parameter constitutive theory of physicochemical modelling of these chemical processes treated from the view of isotropic and anisotropic nonhomogeneous media with space and time memories. On the basis of definition of derivative and constitutive equations of continuity, original system of partial differential constitutive state equations are deduced

  16. Solving differential equations with unknown constitutive relations as recurrent neural networks

    Energy Technology Data Exchange (ETDEWEB)

    Hagge, Tobias J.; Stinis, Panagiotis; Yeung, Enoch H.; Tartakovsky, Alexandre M.

    2017-12-08

    We solve a system of ordinary differential equations with an unknown functional form of a sink (reaction rate) term. We assume that the measurements (time series) of state variables are partially available, and use a recurrent neural network to “learn” the reaction rate from this data. This is achieved by including discretized ordinary differential equations as part of a recurrent neural network training problem. We extend TensorFlow’s recurrent neural network architecture to create a simple but scalable and effective solver for the unknown functions, and apply it to a fedbatch bioreactor simulation problem. Use of techniques from recent deep learning literature enables training of functions with behavior manifesting over thousands of time steps. Our networks are structurally similar to recurrent neural networks, but differ in purpose, and require modified training strategies.

  17. A Constitutive Model for Superelastic Shape Memory Alloys Considering the Influence of Strain Rate

    Directory of Open Access Journals (Sweden)

    Hui Qian

    2013-01-01

    Full Text Available Shape memory alloys (SMAs are a relatively new class of functional materials, exhibiting special thermomechanical behaviors, such as shape memory effect and superelasticity, which enable their applications in seismic engineering as energy dissipation devices. This paper investigates the properties of superelastic NiTi shape memory alloys, emphasizing the influence of strain rate on superelastic behavior under various strain amplitudes by cyclic tensile tests. A novel constitutive equation based on Graesser and Cozzarelli’s model is proposed to describe the strain-rate-dependent hysteretic behavior of superelastic SMAs at different strain levels. A stress variable including the influence of strain rate is introduced into Graesser and Cozzarelli’s model. To verify the effectiveness of the proposed constitutive equation, experiments on superelastic NiTi wires with different strain rates and strain levels are conducted. Numerical simulation results based on the proposed constitutive equation and experimental results are in good agreement. The findings in this paper will assist the future design of superelastic SMA-based energy dissipation devices for seismic protection of structures.

  18. Processing of plane strain compression test results for investigation of AISI-304 stainless steel constitutive behavior

    International Nuclear Information System (INIS)

    Aksenov, Sergey A.; Puzino, Yuriy A.; Bober, Stanislav A.; Kliber, Jiri

    2015-01-01

    The paper is oriented toward the determination of constitutive equation constants by the inverse analysis of plane strain compression test results. The interpretation of such results is complicated by the inhomogeneity of strain rate distribution in the specimen caused by rigid ends, the lateral spreading of a specimen friction and the variation of temperature during the test. The results of plane strain compression tests of AISI-304 stainless steel are presented and significant deviations of temperature are observed at higher strain rates. Finite element simulation was performed to estimate the inhomogeneity of strain rate within the specimen and evaluate the effect of friction on the test results. Constitutive equations of the material were obtained by inverse analysis minimizing the deviations between the measured load values and the ones predicted by numerical simulation. Keywords: PSCT, AISI-304, Gleeble, constitutive equations, hot forming, FEM, inverse analysis.

  19. Constitutive Modelling of Resins in the Compliance Domain

    Science.gov (United States)

    Klasztorny, M.

    2004-07-01

    A rheological HWKK/H model for resins is developed taking into consideration the up-to-date analyses of experimental results. Constitutive compliance equations of linear are formulated for this model in the shear/bulk form, which describes, among other things, the first-rank reversible isothermal creep. The shear (distorsional) deformations are simulated with three independent stress history functions of fractional and normal exponential types. The volume deformations are simulated as perfectly elastic. The model is described by two elastic and six viscoelastic constants, namely three long-term creep coefficients and three retardation times. The constitutive compliance equations of viscoealsticity for resins are also formulated in the coupled form. Formulae for converting the constants of shear/bulk (uncoupled) viscoelasticity into the constants of coupled viscoelasticity are given too. An algorithm for identifying the material constants, based on the creep of uniaxially tensioned bar samples, is formulated in a way that gives unique results. The material constants are fiund for Epidian 53 epoxy and Polimal 109 polyester resins. The creep processes, simulated based on the experimental data, are presented graphically for both the resins examined.

  20. Large Deformation Constitutive Laws for Isotropic Thermoelastic Materials

    Energy Technology Data Exchange (ETDEWEB)

    Plohr, Bradley J. [Los Alamos National Laboratory; Plohr, Jeeyeon N. [Los Alamos National Laboratory

    2012-07-25

    We examine the approximations made in using Hooke's law as a constitutive relation for an isotropic thermoelastic material subjected to large deformation by calculating the stress evolution equation from the free energy. For a general thermoelastic material, we employ the volume-preserving part of the deformation gradient to facilitate volumetric/shear strain decompositions of the free energy, its first derivatives (the Cauchy stress and entropy), and its second derivatives (the specific heat, Grueneisen tensor, and elasticity tensor). Specializing to isotropic materials, we calculate these constitutive quantities more explicitly. For deformations with limited shear strain, but possibly large changes in volume, we show that the differential equations for the stress components involve new terms in addition to the traditional Hooke's law terms. These new terms are of the same order in the shear strain as the objective derivative terms needed for frame indifference; unless the latter terms are negligible, the former cannot be neglected. We also demonstrate that accounting for the new terms requires that the deformation gradient be included as a field variable

  1. Constructing constitutive relationships for seismic and aseismic fault slip

    Science.gov (United States)

    Beeler, N.M.

    2009-01-01

    For the purpose of modeling natural fault slip, a useful result from an experimental fault mechanics study would be a physically-based constitutive relation that well characterizes all the relevant observations. This report describes an approach for constructing such equations. Where possible the construction intends to identify or, at least, attribute physical processes and contact scale physics to the observations such that the resulting relations can be extrapolated in conditions and scale between the laboratory and the Earth. The approach is developed as an alternative but is based on Ruina (1983) and is illustrated initially by constructing a couple of relations from that study. In addition, two example constitutive relationships are constructed; these describe laboratory observations not well-modeled by Ruina's equations: the unexpected shear-induced weakening of silica-rich rocks at high slip speed (Goldsby and Tullis, 2002) and fault strength in the brittle ductile transition zone (Shimamoto, 1986). The examples, provided as illustration, may also be useful for quantitative modeling.

  2. A continuum mechanics constitutive framework for transverse isotropic soft tissues

    Science.gov (United States)

    Garcia-Gonzalez, D.; Jérusalem, A.; Garzon-Hernandez, S.; Zaera, R.; Arias, A.

    2018-03-01

    In this work, a continuum constitutive framework for the mechanical modelling of soft tissues that incorporates strain rate and temperature dependencies as well as the transverse isotropy arising from fibres embedded into a soft matrix is developed. The constitutive formulation is based on a Helmholtz free energy function decoupled into the contribution of a viscous-hyperelastic matrix and the contribution of fibres introducing dispersion dependent transverse isotropy. The proposed framework considers finite deformation kinematics, is thermodynamically consistent and allows for the particularisation of the energy potentials and flow equations of each constitutive branch. In this regard, the approach developed herein provides the basis on which specific constitutive models can be potentially formulated for a wide variety of soft tissues. To illustrate this versatility, the constitutive framework is particularised here for animal and human white matter and skin, for which constitutive models are provided. In both cases, different energy functions are considered: Neo-Hookean, Gent and Ogden. Finally, the ability of the approach at capturing the experimental behaviour of the two soft tissues is confirmed.

  3. Coupling and reduction of the HAWC equations

    DEFF Research Database (Denmark)

    Nim, E.

    2001-01-01

    This report contains a description of a general method for coupling and reduction of the so-called HAWC equations, which constitute the basis equations of motion of the aeroelastic model HAWC used widely by research institutes and industrial companies formore than the ten years. The principal aim....... In addition, the method enables the reduction of the number of degrees of freedom of the structure in order to increase the calculation efficiency and improve thecondition of the system.......This report contains a description of a general method for coupling and reduction of the so-called HAWC equations, which constitute the basis equations of motion of the aeroelastic model HAWC used widely by research institutes and industrial companies formore than the ten years. The principal aim...... of the work has been to enable the modelling wind turbines with large displacements of the blades in order to predict phenomena caused by geometric non-linear effects. However, the method can also be applied tomodel the nacelle/shaft structure of a turbine more detailed than the present HAWC model...

  4. A constitutive law for dense granular flows.

    Science.gov (United States)

    Jop, Pierre; Forterre, Yoël; Pouliquen, Olivier

    2006-06-08

    A continuum description of granular flows would be of considerable help in predicting natural geophysical hazards or in designing industrial processes. However, the constitutive equations for dry granular flows, which govern how the material moves under shear, are still a matter of debate. One difficulty is that grains can behave like a solid (in a sand pile), a liquid (when poured from a silo) or a gas (when strongly agitated). For the two extreme regimes, constitutive equations have been proposed based on kinetic theory for collisional rapid flows, and soil mechanics for slow plastic flows. However, the intermediate dense regime, where the granular material flows like a liquid, still lacks a unified view and has motivated many studies over the past decade. The main characteristics of granular liquids are: a yield criterion (a critical shear stress below which flow is not possible) and a complex dependence on shear rate when flowing. In this sense, granular matter shares similarities with classical visco-plastic fluids such as Bingham fluids. Here we propose a new constitutive relation for dense granular flows, inspired by this analogy and recent numerical and experimental work. We then test our three-dimensional (3D) model through experiments on granular flows on a pile between rough sidewalls, in which a complex 3D flow pattern develops. We show that, without any fitting parameter, the model gives quantitative predictions for the flow shape and velocity profiles. Our results support the idea that a simple visco-plastic approach can quantitatively capture granular flow properties, and could serve as a basic tool for modelling more complex flows in geophysical or industrial applications.

  5. Viscoplastic behaviour including damage for deep argillaceous rocks: from in situ observations to constitutives equations

    International Nuclear Information System (INIS)

    Souley, Mountaka; Ghoreychi, Mehdi; Armand, Gilles

    2010-01-01

    viscoplastic model which aims to improve the viscoplastic strain prediction in the EDZ (Excavated Damaged Zone) is proposed by introducing damage variable in Lemaitre's model. The mains characteristics of the model are: (a) the short-term behaviour is based on a generalized Hoek-Brown model; (b) the long-term behaviour is based on the modified Lemaitre's model, the changes of viscoplastic strain rates due to damage (in pre peak phase) and failure (post-peak and residual phases) are taken into account by varying the creep activation energy and the strain-hardening as a function of the current damage rate. In addition, in order to prevent the overestimation of volumetric strain the associated flow rule initially assumed is revisited for the short term behaviour. The proposed model is implemented in FLAC3D C . In order to verify both constitutive equations and their implementations, several simulations of classical laboratory tests (uniaxial/triaxial, mono/multi stage creep and relaxation) are performed. As practical applications, the proposed model has been used to predict the behaviour of two galleries of the laboratory (at -490 m level): parallel and perpendicular to the major horizontal stress. Comparison between predicted results and the in situ measurements are then presented and discussed Finally the model limitations as well as possible improvements are discussed in this paper. (authors)

  6. Phasor Alternatives to Friis’ Transmission Equation

    DEFF Research Database (Denmark)

    Franek, Ondrej

    2018-01-01

    Two alternatives to Friis’ transmission equation in terms of phasor voltage waves are presented. In one formulation antennas are characterized by the complex effective length vectors. An additional form introducing field gain, that serves effectively as a phasor counterpart to the power gain......, is proposed. Both forms show the same degree of symmetry and modularity as the original Friis’ equation, but thanks to using phasors instead of power quantities they allow for superposition of fields or voltages. Although the new transmission equations are formulated in frequency domain, they also constitute...

  7. Constitutive relations for non-elastic deformation

    International Nuclear Information System (INIS)

    Hart, E.W.

    1978-01-01

    A new class of constitutive equations is described for non-elastic deformation of metals. The relations are embodied in a model that has had considerable experimental investigation. The model employs two deformation state variables of which one is a scalar hardness variable and the other is a stored anelastic strain. The description is entirely in terms of real time strain rates. The model and its experimental background is discussed. The relationship to mechanical calculations and a possible extension to radiation environment is also considered. (Auth.)

  8. Constitutional changes and the dilemmas of constitutionalism

    Directory of Open Access Journals (Sweden)

    Arsen Bačić

    2009-01-01

    Full Text Available The need to develop constitutional mechanisms whose aim is to resolve fundamental relations in society demands the widest possible inclusion of all of society’s active participants in the discussion on the need to adopt or revise the Constitution. The opening of every new round of constitutional changes is of great importance because it always unlocks certain new and important questions. The answers to those questions should be offered by state authority (policy and civil society including science and its disciplines. In this paper, the author mentions several topics which are of interest in the current discussion on the significance of current constitutional changes for the future of the development of constitutionalism and democracy in the Republic of Croatia. These are above all topics of political and legal constitutionalism and suggestions linked to strengthening the independence of judicial powers. The author advocates consistent application of constitutional control and check mechanisms which exclude all insularity of judicial powers in relation to democratic control.

  9. A Prospect and Challenges for Adopting Constitutional Complaint and Constitutional Question in the Indonesian Constitutional Court

    OpenAIRE

    Faiz, Pan Mohamad

    2016-01-01

    A jurisdiction of the Indonesian Constitutional Court concerning constitutional adjudication is only limited to review the constitutionality of national law. There is no mechanism for challenging any decision or action made by public authorities that violate fundamental rights enshrined in the Indonesian Constitution. This article argues that constitutional complaint and constitutional question might be adopted as new jurisdictions of the Indonesian Constitutional Court in order to strengthen...

  10. Application of symbolic computations to the constitutive modeling of structural materials

    Science.gov (United States)

    Arnold, Steven M.; Tan, H. Q.; Dong, X.

    1990-01-01

    In applications involving elevated temperatures, the derivation of mathematical expressions (constitutive equations) describing the material behavior can be quite time consuming, involved and error-prone. Therefore intelligent application of symbolic systems to faciliate this tedious process can be of significant benefit. Presented here is a problem oriented, self contained symbolic expert system, named SDICE, which is capable of efficiently deriving potential based constitutive models in analytical form. This package, running under DOE MACSYMA, has the following features: (1) potential differentiation (chain rule), (2) tensor computations (utilizing index notation) including both algebraic and calculus; (3) efficient solution of sparse systems of equations; (4) automatic expression substitution and simplification; (5) back substitution of invariant and tensorial relations; (6) the ability to form the Jacobian and Hessian matrix; and (7) a relational data base. Limited aspects of invariant theory were also incorporated into SDICE due to the utilization of potentials as a starting point and the desire for these potentials to be frame invariant (objective). The uniqueness of SDICE resides in its ability to manipulate expressions in a general yet pre-defined order and simplify expressions so as to limit expression growth. Results are displayed, when applicable, utilizing index notation. SDICE was designed to aid and complement the human constitutive model developer. A number of examples are utilized to illustrate the various features contained within SDICE. It is expected that this symbolic package can and will provide a significant incentive to the development of new constitutive theories.

  11. Non-integer viscoelastic constitutive law to model soft biological tissues to in-vivo indentation.

    Science.gov (United States)

    Demirci, Nagehan; Tönük, Ergin

    2014-01-01

    During the last decades, derivatives and integrals of non-integer orders are being more commonly used for the description of constitutive behavior of various viscoelastic materials including soft biological tissues. Compared to integer order constitutive relations, non-integer order viscoelastic material models of soft biological tissues are capable of capturing a wider range of viscoelastic behavior obtained from experiments. Although integer order models may yield comparably accurate results, non-integer order material models have less number of parameters to be identified in addition to description of an intermediate material that can monotonically and continuously be adjusted in between an ideal elastic solid and an ideal viscous fluid. In this work, starting with some preliminaries on non-integer (fractional) calculus, the "spring-pot", (intermediate mechanical element between a solid and a fluid), non-integer order three element (Zener) solid model, finally a user-defined large strain non-integer order viscoelastic constitutive model was constructed to be used in finite element simulations. Using the constitutive equation developed, by utilizing inverse finite element method and in vivo indentation experiments, soft tissue material identification was performed. The results indicate that material coefficients obtained from relaxation experiments, when optimized with creep experimental data could simulate relaxation, creep and cyclic loading and unloading experiments accurately. Non-integer calculus viscoelastic constitutive models, having physical interpretation and modeling experimental data accurately is a good alternative to classical phenomenological viscoelastic constitutive equations.

  12. Alloy design through mechanical equation of state

    International Nuclear Information System (INIS)

    Li, C.Yu.; Ellis, F.V.; Huang, F.H.

    1975-01-01

    The concept of plastic equation of state and the experimental results which are used to support this approach are introduced. It is shown that considerable savings in mechanical testing are possible in using this approach to establish the constitutive relationships for plastic deformation for a material. Advantages in data correlation and data extrapolation are also described. Examples are given to suggest that the constitutive relationships for plastic deformation obtained may be used as a useful basis for correlating the effects of composition and microstructure changes on mechanical properties and therefore serve as a guide for alloy selection. The savings in mechanical testing suggest also that the approach of plastic equation of state may be adopted for evaluating and assessing the mechanical properties of candidate alloys

  13. Extended Thermodynamics: a Theory of Symmetric Hyperbolic Field Equations

    Science.gov (United States)

    Müller, Ingo

    2008-12-01

    Extended thermodynamics is based on a set of equations of balance which are supplemented by local and instantaneous constitutive equations so that the field equations are quasi-linear first order differential equations. If the constitutive functions are subject to the requirements of the entropy principle, one may write them in symmetric hyperbolic form by a suitable choice of fields. The kinetic theory of gases, or the moment theories based on the Boltzmann equation provide an explicit example for extended thermodynamics. The theory proves its usefulness and practicality in the successful treatment of light scattering in rarefied gases. This presentation is based upon the book [1] of which the author of this paper is a co-author. For more details about the motivation and exploitation of the basic principles the interested reader is referred to that reference. It would seem that extended thermodynamics is worthy of the attention of mathematicians. It may offer them a non-trivial field of study concerning hyperbolic equations, if ever they get tired of the Burgers equation. Physicists may prefer to appreciate the success of extended thermodynamics in light scattering and to work on the open problems concerning the modification of the Navier-Stokes-Fourier theory in rarefied gases as predicted by extended thermodynamics of 13, 14, and more moments.

  14. Constitutive error based parameter estimation technique for plate structures using free vibration signatures

    Science.gov (United States)

    Guchhait, Shyamal; Banerjee, Biswanath

    2018-04-01

    In this paper, a variant of constitutive equation error based material parameter estimation procedure for linear elastic plates is developed from partially measured free vibration sig-natures. It has been reported in many research articles that the mode shape curvatures are much more sensitive compared to mode shape themselves to localize inhomogeneity. Complying with this idea, an identification procedure is framed as an optimization problem where the proposed cost function measures the error in constitutive relation due to incompatible curvature/strain and moment/stress fields. Unlike standard constitutive equation error based procedure wherein a solution of a couple system is unavoidable in each iteration, we generate these incompatible fields via two linear solves. A simple, yet effective, penalty based approach is followed to incorporate measured data. The penalization parameter not only helps in incorporating corrupted measurement data weakly but also acts as a regularizer against the ill-posedness of the inverse problem. Explicit linear update formulas are then developed for anisotropic linear elastic material. Numerical examples are provided to show the applicability of the proposed technique. Finally, an experimental validation is also provided.

  15. Constitutive basis of the MDCF model for rock salt

    International Nuclear Information System (INIS)

    Fossum, A.F.; Munson, D.E.; Chan, K.S.; Bodner, S.R.

    1996-01-01

    All valid constitutive equations must satisfy two general invariance principles as well several other principles. In this paper the MDCF (Multimechanism Deformation Coupled Fracture) model for rock salt is shown to be thermodynamically consistent, coordinate invariant, frame indifferent, and physically admissible. Additionally, the stress rates used in the formulation are shown to be kinematically consistent with the Cauchy stress rates

  16. Linear superposition solutions to nonlinear wave equations

    International Nuclear Information System (INIS)

    Liu Yu

    2012-01-01

    The solutions to a linear wave equation can satisfy the principle of superposition, i.e., the linear superposition of two or more known solutions is still a solution of the linear wave equation. We show in this article that many nonlinear wave equations possess exact traveling wave solutions involving hyperbolic, triangle, and exponential functions, and the suitable linear combinations of these known solutions can also constitute linear superposition solutions to some nonlinear wave equations with special structural characteristics. The linear superposition solutions to the generalized KdV equation K(2,2,1), the Oliver water wave equation, and the k(n, n) equation are given. The structure characteristic of the nonlinear wave equations having linear superposition solutions is analyzed, and the reason why the solutions with the forms of hyperbolic, triangle, and exponential functions can form the linear superposition solutions is also discussed

  17. Photocrosslinked PLA-PEO-PLA Hydrogels from Self-Assembled Physical Networks: Mechanical Properties and Influence of Assumed Constitutive Relationships

    Science.gov (United States)

    Sanabria-DeLong, Naomi; Crosby, Alfred J.; Tew, Gregory N.

    2014-01-01

    Poly(lactide) – block – poly(ethylene oxide) – block – poly(lactide) [PLA-PEO-PLA] triblock copolymers are known to form physical hydrogels in water, due to the polymer's amphiphilicity. Their mechanical properties, biocompatibility, and biodegradability have made them attractive for use as soft tissue scaffolds. However, the network junction points are not covalently crosslinked and in a highly aqueous environment these hydrogels adsorb more water, transform from gel to sol, and lose the designed mechanical properties. In this report, a hydrogel was formed by using a novel two step approach. In the first step end-functionalized PLA-PEOPLA triblock was self-assembled into a physical hydrogel through hydrophobic micelle network junctions, and then, in the second step, this self-assembled physical network structure was locked into place by photocrosslinking the terminal acrylate groups. In contrast to physical hydrogels, the photocrosslinked gels remained intact in phosphate buffered solution at body temperature. The swelling, degradation, and mechanical properties were characterized and demonstrated extended degradation time (~ 65 days), exponential decrease in modulus with degradation time, and tunable shear modulus (1.6 – 133 kPa) by varying concentration. We also discuss the various constitutive relationships (Hookean, Neo-Hookean, and Mooney-Rivlin) that can be used to describe the stress-strain behavior of these hydrogels. The chosen model and assumptions used for data fitting influences the obtained modulus values by as much as a factor of 3.5, demonstrating the importance of clearly stating one's data fitting parameters so that accurate comparisons can be made within the literature. PMID:18817440

  18. Thermal constitutive matrix applied to asynchronous electrical machine using the cell method

    Science.gov (United States)

    Domínguez, Pablo Ignacio González; Monzón-Verona, José Miguel; Rodríguez, Leopoldo Simón; Sánchez, Adrián de Pablo

    2018-03-01

    This work demonstrates the equivalence of two constitutive equations. One is used in Fourier's law of the heat conduction equation, the other in electric conduction equation; both are based on the numerical Cell Method, using the Finite Formulation (FF-CM). A 3-D pure heat conduction model is proposed. The temperatures are in steady state and there are no internal heat sources. The obtained results are compared with an equivalent model developed using the Finite Elements Method (FEM). The particular case of 2-D was also studied. The errors produced are not significant at less than 0.2%. The number of nodes is the number of the unknowns and equations to resolve. There is no significant gain in precision with increasing density of the mesh.

  19. Constitutive Model for Hot Deformation of the Cu-Zr-Ce Alloy

    Science.gov (United States)

    Zhang, Yi; Sun, Huili; Volinsky, Alex A.; Wang, Bingjie; Tian, Baohong; Liu, Yong; Song, Kexing

    2018-02-01

    Hot compressive deformation behavior of the Cu-Zr-Ce alloy has been investigated according to the hot deformation tests in the 550-900 °C temperature range and 0.001-10 s-1 strain rate range. Based on the true stress-true strain curves, the flow stress behavior of the Cu-Zr-Ce alloy was investigated. Microstructure evolution was observed by optical microscopy. Based on the experimental results, a constitutive equation, which reflects the relationships between the stress, strain, strain rate and temperature, has been established. Material constants n, α, Q and ln A were calculated as functions of strain. The equation predicting the flow stress combined with these materials constants has been proposed. The predicted stress is consistent with experimental stress, indicating that developed constitutive equation can adequately predict the flow stress of the Cu-Zr-Ce alloy. Dynamic recrystallization critical strain was determined using the work hardening rate method. According to the dynamic material model, the processing maps for the Cu-Zr and Cu-Zr-Ce alloy were obtained at 0.4 and 0.5 strain. Based on the processing maps and microstructure observations, the optimal processing parameters for the two alloys were determined, and it was found that the addition of Ce can promote the hot workability of the Cu-Zr alloy.

  20. Nonlinear electro-magneto-mechanical constitutive modelling of monolayer graphene

    Science.gov (United States)

    Sfyris, D.; Sfyris, G. I.; Bustamante, R.

    2016-04-01

    Using the classical theory of invariants for the specific class of graphene's symmetry, we constitutively characterize electro-magneto-mechanical interactions of graphene at continuum level. Graphene's energy depends on five arguments: the Finger strain tensor, the curvature tensor, the shift vector, the effective electric field intensity and the effective magnetic induction. The Finger strain tensor describes in- surface phenomena, the curvature tensor is responsible for the out-of-surface motions, while the shift vector is used due to the fact that graphene is a multilattice. The electric and the magnetic fields are described by the effective electric field intensity and the effective magnetic induction, respectively. An energy with the above arguments that also respects graphene's symmetries is found to have 42 invariants. Using these invariants, we evaluate all relevant measures by finding derivatives of the energy with respect to the five arguments of the energy. We also lay down the field equations that should be satisfied. These are the Maxwell equations, the momentum equation, the moment of momentum equation and the equation ruling the shift vector. Our framework is general enough to capture fully coupled processes in the finite deformation regime.

  1. Constitutional judges (guarantee of the Constitution and responsibility

    Directory of Open Access Journals (Sweden)

    Francisco Javier Ansuátegui Roig

    2012-06-01

    Full Text Available My aim in this paper is to propose a reflection on the position and the importance that the constitutional judge has in the legal systems of contemporary constitutionalism. The figure of the judge responsible of protecting the Constitution is a key institution, without which we cannot understand the laws of constitutional democracies, their current lines of development, and the guarantee of rights and freedoms that constitute the normative core of these systems. Moreover, the reflection on the exercise of the powers of the judge, its scope and its justification is an important part of contemporary legal discussion, still relevant, albeit not exclusively - in the field of legal philosophy. The object of attention of my reflection is the judge who has the power of judicial review, in a scheme of defense of the Constitution, regardless the specific ways of this defense.

  2. Predicting the constitutive behavior of semi-solids via a direct finite element simulation: application to AA5182

    Science.gov (United States)

    Phillion, A. B.; Cockcroft, S. L.; Lee, P. D.

    2009-07-01

    The methodology of direct finite element (FE) simulation was used to predict the semi-solid constitutive behavior of an industrially important aluminum-magnesium alloy, AA5182. Model microstructures were generated that detail key features of the as-cast semi-solid: equiaxed-globular grains of random size and shape, interconnected liquid films, and pores at the triple-junctions. Based on the results of over fifty different simulations, a model-based constitutive relationship which includes the effects of the key microstructure features—fraction solid, grain size and fraction porosity—was derived using regression analysis. This novel constitutive equation was then validated via comparison with both the FE simulations and experimental stress/strain data. Such an equation can now be used to incorporate the effects of microstructure on the bulk semi-solid flow stress within a macro- scale process model.

  3. Predicting the constitutive behavior of semi-solids via a direct finite element simulation: application to AA5182

    International Nuclear Information System (INIS)

    Phillion, A B; Cockcroft, S L; Lee, P D

    2009-01-01

    The methodology of direct finite element (FE) simulation was used to predict the semi-solid constitutive behavior of an industrially important aluminum-magnesium alloy, AA5182. Model microstructures were generated that detail key features of the as-cast semi-solid: equiaxed-globular grains of random size and shape, interconnected liquid films, and pores at the triple-junctions. Based on the results of over fifty different simulations, a model-based constitutive relationship which includes the effects of the key microstructure features—fraction solid, grain size and fraction porosity—was derived using regression analysis. This novel constitutive equation was then validated via comparison with both the FE simulations and experimental stress/strain data. Such an equation can now be used to incorporate the effects of microstructure on the bulk semi-solid flow stress within a macro- scale process model

  4. Solution of Fokker–Planck equation by finite element and finite ...

    Indian Academy of Sciences (India)

    The response of a structural system to white noise excitation (delta-correlated) constitutes a Markov vector process whose transitional probability density function (TPDF) is governed by both the forward Fokker–Planck and backward Kolmogorov equations. Numerical solution of these equations by finite element and finite ...

  5. Comparison study of crosslink density determination in cured rubber

    International Nuclear Information System (INIS)

    El-sabbagh, S.H.; Yehia, A.A.

    2005-01-01

    The crosslink density is an important property affecting the major characteristics of cured rubber. The crosslink density can be determined by different methods such as: 1. Dynamic mechanical method using the data of stress-strain relationship. 2. Mooney-Rivlin equation 3. Swelling in organic solvents measurements using Flory-Rehner equation. The crosslink density calculated by the previous methods were discussed and compared with each other for cured NR, SBR and NBR. The obtained data showed that the dynamic-mechanical method can be considered as a simple and reliable method for determination of crosslink density for cured rubbers

  6. Data-driven non-linear elasticity: constitutive manifold construction and problem discretization

    Science.gov (United States)

    Ibañez, Ruben; Borzacchiello, Domenico; Aguado, Jose Vicente; Abisset-Chavanne, Emmanuelle; Cueto, Elias; Ladeveze, Pierre; Chinesta, Francisco

    2017-11-01

    The use of constitutive equations calibrated from data has been implemented into standard numerical solvers for successfully addressing a variety problems encountered in simulation-based engineering sciences (SBES). However, the complexity remains constantly increasing due to the need of increasingly detailed models as well as the use of engineered materials. Data-Driven simulation constitutes a potential change of paradigm in SBES. Standard simulation in computational mechanics is based on the use of two very different types of equations. The first one, of axiomatic character, is related to balance laws (momentum, mass, energy,\\ldots ), whereas the second one consists of models that scientists have extracted from collected, either natural or synthetic, data. Data-driven (or data-intensive) simulation consists of directly linking experimental data to computers in order to perform numerical simulations. These simulations will employ laws, universally recognized as epistemic, while minimizing the need of explicit, often phenomenological, models. The main drawback of such an approach is the large amount of required data, some of them inaccessible from the nowadays testing facilities. Such difficulty can be circumvented in many cases, and in any case alleviated, by considering complex tests, collecting as many data as possible and then using a data-driven inverse approach in order to generate the whole constitutive manifold from few complex experimental tests, as discussed in the present work.

  7. National constitutional courts in the European Constitutional Democracy

    DEFF Research Database (Denmark)

    Komárek, Jan

    2014-01-01

    This article critically assesses the transformation of national constitutional courts’ place in the law and politics of the EU and its member states. This process eliminates the difference between constitutional and ordinary national courts, which is crucial for the institutional implementation...... of the discourse theory of law and democracy. It also disrupts the symbiotic relationship between national constitutional democracies established after World War II and European integration. The article argues that maintaining the special place of national constitutional courts is in the vital interest of both...... the EU and its member states, understood together as the European Constitutional Democracy—the central notion developed in this article in order to support an argument that should speak to both EU lawyers and national constitutionalists....

  8. Method to determine the optimal constitutive model from spherical indentation tests

    Directory of Open Access Journals (Sweden)

    Tairui Zhang

    2018-03-01

    Full Text Available The limitation of current indentation theories was investigated and a method to determine the optimal constitutive model through spherical indentation tests was proposed. Two constitutive models, the Power-law and the Linear-law, were used in Finite Element (FE calculations, and then a set of indentation governing equations was established for each model. The load-depth data from the normal indentation depth was used to fit the best parameters in each constitutive model while the data from the further loading part was compared with those from FE calculations, and the model that better predicted the further deformation was considered the optimal one. Moreover, a Yang’s modulus calculation model which took the previous plastic deformation and the phenomenon of pile-up (or sink-in into consideration was also proposed to revise the original Sneddon-Pharr-Oliver model. The indentation results on six materials, 304, 321, SA508, SA533, 15CrMoR, and Fv520B, were compared with tensile ones, which validated the reliability of the revised E calculation model and the optimal constitutive model determination method in this study. Keywords: Optimal constitutive model, Spherical indentation test, Finite Element calculations, Yang’s modulus

  9. High Temperature Mechanical Constitutive Modeling of a High-Nb TiAl Alloy

    Directory of Open Access Journals (Sweden)

    DONG Chengli

    2018-02-01

    Full Text Available Uniaxial tensile, low cycle fatigue, fatigue-creep interaction and creep experiments of a novel high-Nb TiAl alloy (i.e. Ti-45Al-8Nb-0.2W-0.2B-0.02Y (atom fraction/% were conducted at 750℃ to obtain its tested data and curves. Based on Chaboche visco-plasticity unified constitutive model, Ohno-Wang modified non-linear kinematic hardening was introduced in Chaboche constitutive model to describe the cyclic hardening/softening, and Kachanov damage was coupled in Chaboche constitutive model to characterize the accelerated creep stage. The differential equations of the constitutive model discretized by explicit Euler method were compiled in to ABAQUS/UMAT to simulate the mechanical behavior of high-Nb TiAl alloy at different test conditions. The results show that Chaboche visco-plasticity unified constitutive model considering both Ohno-Wang modified non-linear kinematic hardening and Kachanov damage is able to simulate the uniaxial tensile, low cycle fatigue, fatigue-creep interaction and creep behavior of high-Nb TiAl alloy and has high accuracy.

  10. The Ideological Deadlock of The Refugee Crisis

    DEFF Research Database (Denmark)

    Mølholm, Martin

    2018-01-01

    Since the middle of 2015, the European community has been struggling to find political solutions to what has come to be known as ‘the refugee crisis’. As tens of thousands of refugees from primarily Syria began crossing the Mediterranean Sea and entering Europe at either Lespos or Lampedusa......, Reiner Keller, Norman Fairclough, Niklas Luhmann and Zygmunt Bauman, this article will describe the formation of the discourse and the constitution of the dispositif on the refugee crisis, in order to uncover the mechanisms and procedures regulating the handling of the crisis in Denmark, that seemed...

  11. The Ideological Deadlock of The Refugee Crisis

    DEFF Research Database (Denmark)

    Mølholm, Martin

    Since the middle of 2015, the European community has been struggling to find political solutions to what has come to be known as ‘the refugee crisis’. As tens of thousands of refugees from primarily Syria began crossing the Mediterranean Sea and entering Europe at either Lespos or Lampedusa......, Reiner Keller, Norman Fairclough, Niklas Luhmann and Zygmunt Bauman, this article will describe the formation of the discourse and the constitution of the dispositif on the refugee crisis, in order to uncover the mechanisms and procedures regulating the handling of the crisis in Denmark, that seemed...

  12. Method to determine the optimal constitutive model from spherical indentation tests

    Science.gov (United States)

    Zhang, Tairui; Wang, Shang; Wang, Weiqiang

    2018-03-01

    The limitation of current indentation theories was investigated and a method to determine the optimal constitutive model through spherical indentation tests was proposed. Two constitutive models, the Power-law and the Linear-law, were used in Finite Element (FE) calculations, and then a set of indentation governing equations was established for each model. The load-depth data from the normal indentation depth was used to fit the best parameters in each constitutive model while the data from the further loading part was compared with those from FE calculations, and the model that better predicted the further deformation was considered the optimal one. Moreover, a Yang's modulus calculation model which took the previous plastic deformation and the phenomenon of pile-up (or sink-in) into consideration was also proposed to revise the original Sneddon-Pharr-Oliver model. The indentation results on six materials, 304, 321, SA508, SA533, 15CrMoR, and Fv520B, were compared with tensile ones, which validated the reliability of the revised E calculation model and the optimal constitutive model determination method in this study.

  13. A micromorphic model for monolayer hexagonal boron nitride with determined constitutive constants by phonon dispersions

    International Nuclear Information System (INIS)

    Zhang, Bin; Yang, Gang

    2014-01-01

    A two dimensional (2D) micromorphic model is developed for monolayer hexagonal boron nitride (h-BN). Theoretical expressions of phonon dispersions for 2D crystals are derived based on the simplified governing equations of specialized three dimensional micromorphic crystals. The constitutive constants of governing equations of the h-BN micromorphic model are determined, which is performed by fitting the available phonon dispersions data of experimental measurements and first-principles calculations with our theoretical expressions. The obtained Young’s modulus and Poisson’s ratio of h-BN are comparable with the results of ab initio calculations and inelastic x-ray scattering experiments, thus the constitutive relations of the h-BN model are verified, which also indicates that mechanical properties of monolayer h-BN could be characterized by our 2D micromorphic model

  14. 3D phenomenological constitutive modeling of shape memory alloys based on microplane theory

    International Nuclear Information System (INIS)

    Mehrabi, R; Kadkhodaei, M

    2013-01-01

    This paper concerns 3D phenomenological modeling of shape memory alloys using microplane theory. In the proposed approach, transformation is assumed to be the only source of inelastic strain in 1D constitutive laws considered for any generic plane passing through a material point. 3D constitutive equations are derived by generalizing the 1D equations using a homogenization technique. In the developed model, inelastic strain is explicitly stated in terms of the martensite volume fraction. To compare this approach with incremental constitutive models, such an available model is applied in its 1D integral form to the microplane formulation, and it is shown that both the approaches produce similar results for different uniaxial loadings. A nonproportional loading is then studied, and the results are compared with those obtained from an available model in which the inelastic strain is divided into two separate portions for transformation and reorientation. A good agreement is seen between the results of the two approaches, indicating the capability of the proposed microplane formulation in predicting reorientation phenomena in shape memory alloys. The results of the model are compared with available experimental results for a nonproportional loading path, and a good agreement is seen between the findings. (paper)

  15. Solving the dynamic rupture problem with different numerical approaches and constitutive laws

    Science.gov (United States)

    Bizzarri, A.; Cocco, M.; Andrews, D.J.; Boschi, Enzo

    2001-01-01

    We study the dynamic initiation, propagation and arrest of a 2-D in-plane shear rupture by solving the elastodynamic equation by using both a boundary integral equation method and a finite difference approach. For both methods we adopt different constitutive laws: a slip-weakening (SW) law, with constant weakening rate, and rate- and state-dependent friction laws (Dieterich-Ruina). Our numerical procedures allow the use of heterogeneous distributions of constitutive parameters along the fault for both formulations. We first compare the two solution methods with an SW law, emphasizing the required stability conditions to achieve a good resolution of the cohesive zone and to avoid artificial complexity in the solutions. Our modelling results show that the two methods provide very similar time histories of dynamic source parameters. We point out that, if a careful control of resolution and stability is performed, the two methods yield identical solutions. We have also compared the rupture evolution resulting from an SW and a rate- and state-dependent friction law. This comparison shows that despite the different constitutive formulations, a similar behaviour is simulated during the rupture propagation and arrest. We also observe a crack tip bifurcation and a jump in rupture velocity (approaching the P-wave speed) with the Dieterich-Ruina (DR) law. The rupture arrest at a barrier (high strength zone) and the barrier-healing mechanism are also reproduced by this law. However, this constitutive formulation allows the simulation of a more general and complex variety of rupture behaviours. By assuming different heterogeneous distributions of the initial constitutive parameters, we are able to model a barrier-healing as well as a self-healing process. This result suggests that if the heterogeneity of the constitutive parameters is taken into account, the different healing mechanisms can be simulated. We also study the nucleation phase duration Tn, defined as the time

  16. Rational approximations to solutions of linear differential equations.

    Science.gov (United States)

    Chudnovsky, D V; Chudnovsky, G V

    1983-08-01

    Rational approximations of Padé and Padé type to solutions of differential equations are considered. One of the main results is a theorem stating that a simultaneous approximation to arbitrary solutions of linear differential equations over C(x) cannot be "better" than trivial ones implied by the Dirichlet box principle. This constitutes, in particular, the solution in the linear case of Kolchin's problem that the "Roth's theorem" holds for arbitrary solutions of algebraic differential equations. Complete effective proofs for several valuations are presented based on the Wronskian methods and graded subrings of Picard-Vessiot extensions.

  17. Liquefaction of Saturated Soil and the Diffusion Equation

    Science.gov (United States)

    Sawicki, Andrzej; Sławińska, Justyna

    2015-06-01

    The paper deals with the diffusion equation for pore water pressures with the source term, which is widely promoted in the marine engineering literature. It is shown that such an equation cannot be derived in a consistent way from the mass balance and the Darcy law. The shortcomings of the artificial source term are pointed out, including inconsistencies with experimental data. It is concluded that liquefaction and the preceding process of pore pressure generation and the weakening of the soil skeleton should be described by constitutive equations within the well-known framework of applied mechanics. Relevant references are provided

  18. Constitutive Modeling of the Flow Stress of GCr15 Continuous Casting Bloom in the Heavy Reduction Process

    Science.gov (United States)

    Ji, Cheng; Wang, Zilin; Wu, Chenhui; Zhu, Miaoyong

    2018-04-01

    According to the calculation results of a 3D thermomechanical-coupled finite-element (FE) model of GCr15 bearing steel bloom during a heavy reduction (HR) process, the variation ranges in the strain rate and strain under HR were described. In addition, the hot deformation behavior of the GCr15 bearing steel was studied over the temperature range from 1023 K to 1573 K (750 °C to 1300 °C) with strain rates of 0.001, 0.01, and 0.1 s-1 in single-pass thermosimulation compression experiments. To ensure the accuracy of the constitutive model, the temperature range was divided into two temperature intervals according to the fully austenitic temperature of GCr15 steel [1173 K (900 °C)]. Two sets of material parameters for the constitutive model were derived based on the true stress-strain curves of the two temperature intervals. A flow stress constitutive model was established using a revised Arrhenius-type constitutive equation, which considers the relationships among the material parameters and true strain. This equation describes dynamic softening during hot compression processes. Considering the effect of glide and climb on the deformation mechanism, the Arrhenius-type constitutive equation was modified by a physically based approach. This model is the most accurate over the temperatures ranging from 1173 K to 1573 K (900 °C to 1300 °C) under HR deformation conditions (ignoring the range from 1273 K to 1573 K (1000 °C to 1300 °C) with a strain rate of 0.1 s-1). To ensure the convergence of the FE calculation, an approximated method was used to estimate the flow stress at temperatures greater than 1573 K (1300 °C).

  19. Unified inelastic constitutive equations incorporating dynamic strain aging for Mod. 9Cr-1Mo steel

    International Nuclear Information System (INIS)

    Yaguchi, Masatsugu; Takahashi, Yukio

    1998-01-01

    A unified constitutive model considering dynamic strain aging effect was developed in order to describe inelastic deformation behavior of the Mod. 9Cr-1Mo steel precisely. The inelastic behavior of the steel was summarized as follows. A rate dependent deformation was observed above 500degC, and there was no rate dependency under 400degC. However, stress relaxation behavior was observed even at rate independent temperature region. Further, a stress after relaxation depended on prior loading strain rate, and it showed a higher value as the strain rate was slow. A feature of the proposed constitutive model was that an applied stress consists of three stress components: a back stress, an overstress and an aging stress which corresponds to dynamics strain aging and shows a negative strain rate dependency. The aging stress was measured by strain rate change tests, and it showed larger values as the strain rates were slow and the temperatures were low. The backstress and the overstress were measured by strain dip tests. The backstress was approximately rate independent under 400degC, however it showed rate dependency above 500degC. The overstress showed larger values as the strain rates were fast and the temperatures were high. The material constants were determined systematically based on the measured values of each internal variable. In order to evaluate the validity of the constitutive model, numerical simulations were done for various inelastic deformation behavior of Mod. 9Cr-1Mo steel. The simulations agreed with experimental results very well in all cases. (author)

  20. Constitutive modelling of stainless steels for cryogenic applications. Strain induced martensitic transformation

    CERN Document Server

    Garion, C

    2001-01-01

    The 300-series stainless steels are metastable austenitic alloys: martensitic transformation occurs at low temperatures and/or when plastic strain fields develop in the structures. The transformation influences the mechanical properties of the material. The present note aims at proposing a set of constitutive equations describing the plastic strain induced martensitic transformation in the stainless steels at cryogenic temperatures. The constitutive modelling shall create a bridge between the material sciences and the structural analysis. For the structures developing and accumulating plastic deformations at sub-zero temperatures, it is of primary importance to be able to predict the intensity of martensitic transformation and its effect on the material properties. In particular, the constitutive model has been applied to predict the behaviour of the components of the LHC interconnections, the so-called bellows expansion joints (the LHC mechanical compensation system).

  1. Potential constitutive models for salt: Survey of phenomenology, micromechanisms, and equations

    International Nuclear Information System (INIS)

    Senseny, P.E.; Hansen, F.D.

    1987-12-01

    Results are given of a literature survey performed to document the thermomechanical phenomena and micromechanical processes observed for salt over the ranges of stress and temperature of interest for a high-level nuclear repository. The elastic and thermal expansion behavior of salt can be readily modeled by the generalized Duhamel Neumann form of Hooke's law with temperature-dependent elastic constants and coefficient of thermal expansion. Inelastic deformation is primarily viscoplastic, but also has a brittle component. The observed phenomenological behavior of salt occurs because of micromechanical processes. To the extent that these processes have been studied, a summary of deformation mechanisms in natural salt is included in this report. Eight constitutive models that appear to be capable of modeling the viscoplastic deformation have been selected from the literature. Two models have been selected to model brittle deformation. Insufficient data are available to develop a model for failure. 92 refs., 39 figs., 6 tabs

  2. A Constitutional Coup! The Take-Down of the First President of the Republic of Kosovo

    Directory of Open Access Journals (Sweden)

    Korab R. Sejdiu

    2013-07-01

    This paper argues that the Court should have dismissed the claim of the MPs as inadmissible on procedural grounds, specifically that it was filed by the MPs after the time permitted by law and that the MPs never maintained the number of 30 members that were needed for the group to be an authorized party. Additionally, even on the merits, the Court failed to distinguish between the constitutional requirement to not exercise a party function, which the President in this case did not do, but rather simply held the position in a suspended mode. Moreover, even had the President’s holding of the position amounted to a violation of the Constitution, in no way did that equate to a serious constitutional violation. Still, the Court held contrary to the Constitution, applicable laws, and the available evidence before it and found that the President had seriously violated the Constitution.

  3. Scaling and constitutive relationships in downcomer modeling

    International Nuclear Information System (INIS)

    Daly, B.J.; Harlow, F.H.

    1978-12-01

    Constitutive relationships to describe mass and momentum exchange in multiphase flow in a pressurized water reactor downcomer are presented. Momentum exchange between the phases is described by the product of the flux of momentum available for exchange and the effective area for interaction. The exchange of mass through condensation is assumed to occur along a distinct condensation boundary separating steam at saturation temperature from water in which the temperature falls off roughly linearly with distance from the boundary. Because of the abundance of nucleation sites in a typical churning flow in a downcomer, we propose an equilibrium evaporation process that produces sufficient steam per unit time to keep the water perpetually cooled to the saturation temperature. The transport equations, constitutive models, and boundary conditions used in the K-TIF numerical method are nondimensionalized to obtain scaling relationships for two-phase flow in the downcomer. The results indicate that, subject to idealized thermodynamic and hydraulic constraints, exact mathematical scaling can be achieved. Experiments are proposed to isolate the effects of parameters that contribute to mass, momentum, and energy exchange between the phases

  4. Data derived from constitutive laws for description of shock wave propagation in concrete. Final report

    International Nuclear Information System (INIS)

    Eibl, J.; Ockert, J.

    1994-01-01

    Especially the need to design safe reactor containments, but also the necessity to protect facilities and human beings against impacts induced secondarily by explosions and detonations, demand simulations and design calculations of concrete under shock wave loading. The necessary computer codes are available, but the relevant constitutive laws for concrete with volumetric pressures up to more than 10000 MPa are lacking. Therefore shock wave tests have been carried out to develop such constitutive laws by loading concrete slabs with contact explosions. By the use of hot-molded carbon composition resistors shock waves propagating through the slab were measured. Pressures up to 13900 MPa were registered. Additionally shock wave velocities were determined from the different arrival times of the wave at the gages. By these two measured values and the conservation equations of mass and momentum the needed p-V relationship, the so called Hugoniot-Curve, was established up to 13900 MPa. Using the theory of Mie-Grueneisen and the so called P-α model the Hugoniot-Curve was extended to the equation of state for concrete. In a first step the deviatoric part of the constitutive law was attached from own static experiments considering the existing knowledge of strain rate effects since relevant dynamic tests under extreme loads are not available. With this constitutive law the analysis of the experiments then was backward verified in detail. (orig.) [de

  5. Biomechanical properties of the pelvic floor muscles of continent and incontinent women using an inverse finite element analysis.

    Science.gov (United States)

    Silva, M E T; Brandão, S; Parente, M P L; Mascarenhas, T; Natal Jorge, R M

    2017-06-01

    Pelvic disorders can be associated with changes in the biomechanical properties in the muscle, ligaments and/or connective tissue form fascia and ligaments. In this sense, the study of their mechanical behavior is important to understand the structure and function of these biological soft tissues. The aim of this study was to establish the biomechanical properties of the pelvic floor muscles of continent and incontinent women, using an inverse finite element analysis (FEA). The numerical models, including the pubovisceral muscle and pelvic bones were built from magnetic resonance (MR) images acquired at rest. The numerical simulation of Valsalva maneuver was based on the finite element method and the material constants were determined for different constitutive models (Neo-Hookean, Mooney-Rivlin and Yeoh) using an iterative process. The material constants (MPa) for Neo-Hookean (c 1 ) were 0.039 ± 0.022 and 0.024 ± 0.004 for continent vs. incontinent women. For Mooney-Rivlin (c 1 ) the values obtained were 0.026 ± 0.010 vs. 0.016 ± 0.003, and for Yeoh (c 1 ) the values obtained were 0.031 ± 0.023 vs. 0.016 ± 0.002, (p continent women. The results were also similar between MRI and numerical simulations (40.27% vs. 42.17% for Neo-Hookean, 39.87% for Mooney-Rivlin and 41.61% for Yeoh). Using an inverse FEA coupled with MR images allowed to obtain the in vivo biomechanical properties of the pelvic floor muscles, leading to a relationship between them for the continent and incontinent women in a non-invasive manner.

  6. Numerical implementation of constitutive material law for simulating the kinkband formation in fiber composites

    DEFF Research Database (Denmark)

    Veluri, Badrinath; Jensen, Henrik Myhre

    2011-01-01

    constitutive equations for the constituent materials is adopted to model the non-linear behavior of the unidirectional layered materials. This material law is implemented as UMAT user subroutine in ABAQUS/Standard to study kinkband formation. The methodology provides a procedure to investigate the kinkband...

  7. Random cyclic constitutive models of 0Cr18Ni10Ti pipe steel

    International Nuclear Information System (INIS)

    Zhao Yongxiang; Yang Bing

    2004-01-01

    Experimental study is performed on the random cyclic constitutive relations of a new pipe stainless steel, 0Cr18Ni10Ti, by an incremental strain-controlled fatigue test. In the test, it is verified that the random cyclic constitutive relations, like the wide recognized random cyclic strain-life relations, is an intrinsic fatigue phenomenon of engineering materials. Extrapolating the previous work by Zhao et al, probability-based constitutive models are constructed, respectively, on the bases of Ramberg-Osgood equation and its modified form. Scattering regularity and amount of the test data are taken into account. The models consist of the survival probability-strain-life curves, the confidence strain-life curves, and the survival probability-confidence-strain-life curves. Availability and feasibility of the models have been indicated by analysis of the present test data

  8. Constitutive model and electroplastic analysis of structures under cyclic loading

    International Nuclear Information System (INIS)

    Wang, X.; Lei, Y; Du, Q.

    1989-01-01

    Many engineering structures in nuclear reactors, thermal power stations, chemical plants and aerospace vehicles are subjected to cyclic mechanic-thermal loading, which is the main cause of structural fatigue failure. Over the past twenty years, designers and researchers have paid great attention to the research on life prediction and elastoplastic analysis of structures under cyclic loading. One of the key problems in elastoplastic analysis is to construct a reasonable constitutive model for cyclic plasticity. In the paper, the constitutive equations are briefly outlined. Then, the model is implemented in a finite element code to predict the response of cyclic loaded structural components such as a double-edge-notched plate, a grooved bar and a nozzle in spherical shell. Numerical results are compared with those from other theories and experiments

  9. The constitutive compatibility method for identification of material parameters based on full-field measurements

    KAUST Repository

    Moussawi, Ali

    2013-10-01

    We revisit here the concept of the constitutive relation error for the identification of elastic material parameters based on image correlation. An additional concept, so called constitutive compatibility of stress, is introduced defining a subspace of the classical space of statically admissible stresses. The key idea is to define stresses as compatible with the observed deformation field through the chosen class of constitutive equation. This makes possible the uncoupling of the identification of stress from the identification of the material parameters. As a result, the global cost of the identification is strongly reduced. This uncoupling also leads to parametrized solutions in cases where the solution is non-unique as demonstrated on 2D numerical examples. © 2013 Elsevier B.V.

  10. Photo-cross-linked PLA-PEO-PLA hydrogels from self-assembled physical networks: mechanical properties and influence of assumed constitutive relationships.

    Science.gov (United States)

    Sanabria-DeLong, Naomi; Crosby, Alfred J; Tew, Gregory N

    2008-10-01

    Poly(lactide)-block-poly(ethylene oxide)-block-poly(lactide) (PLA-PEO-PLA) triblock copolymers are known to form physical hydrogels in water as a result of the polymer's amphiphilicity. Their mechanical properties, biocompatibility, and biodegradability have made them attractive for use as soft tissue scaffolds. However, the network junction points are not covalently cross-linked, and in a highly aqueous environment these hydrogels adsorb more water, transform from gel to sol, and lose the designed mechanical properties. In this article, a hydrogel was formed by the use of a novel two-step approach. In the first step, the end-functionalized PLA-PEO-PLA triblock was self-assembled into a physical hydrogel through hydrophobic micelle network junctions, and in the second step, this self-assembled physical network structure was locked into place by photo-cross-linking the terminal acrylate groups. In contrast with physical hydrogels, the photo-cross-linked gels remained intact in phosphate-buffered solution at body temperature. The swelling, degradation, and mechanical properties were characterized, and they demonstrated an extended degradation time (approximately 65 days), an exponential decrease in modulus with degradation time, and a tunable shear modulus (1.6-133 kPa). We also discuss the various constitutive relationships (Hookean, neo-Hookean, and Mooney-Rivlin) that can be used to describe the stress-strain behavior of these hydrogels. The chosen model and assumptions used for data fitting influenced the obtained modulus values by as much as a factor of 3.5, which demonstrates the importance of clearly stating one's data fitting parameters so that accurate comparisons can be made within the literature.

  11. The comparative constitutional law on national constitutional system: with regard to the IX World Congress of Constitutional Law

    OpenAIRE

    Landa Arroyo, César

    2015-01-01

    From  the  process  of  globalization  of  law,  the  comparative constitutional law has gained a leading role for a better understanding and solving old and new constitutional national and international challenges. Therefore, some assumptions and considerations to take into account are presented for the development of the national constitutional order within the framework of the comparative constitutional law, such as universality and relativism of human rights; the concept of power and cons...

  12. Generalized heat-transport equations: parabolic and hyperbolic models

    Science.gov (United States)

    Rogolino, Patrizia; Kovács, Robert; Ván, Peter; Cimmelli, Vito Antonio

    2018-03-01

    We derive two different generalized heat-transport equations: the most general one, of the first order in time and second order in space, encompasses some well-known heat equations and describes the hyperbolic regime in the absence of nonlocal effects. Another, less general, of the second order in time and fourth order in space, is able to describe hyperbolic heat conduction also in the presence of nonlocal effects. We investigate the thermodynamic compatibility of both models by applying some generalizations of the classical Liu and Coleman-Noll procedures. In both cases, constitutive equations for the entropy and for the entropy flux are obtained. For the second model, we consider a heat-transport equation which includes nonlocal terms and study the resulting set of balance laws, proving that the corresponding thermal perturbations propagate with finite speed.

  13. Equations for transient flow-boiling in a duct

    International Nuclear Information System (INIS)

    Mathers, W.G.; Ferch, R.L.; Hancox, W.T.; McDonald, B.H.

    1981-01-01

    In this paper we derive a separated phase model for weakly coupled flows which extends a model presented elsewhere (BANERJEE, FERCH, MATHERS and McDONALD, 1978). A hyperbolic system of seven partial differential equations results with ensemble-averaged phase velocities, enthalpies and pressures, and void fraction as dependent variables (UVUTUP model). The required constitutive equations for mass, momentum and energy transfer between phases and between the phases and the boundaries are discussed. The relationship of the UVUTUP model to other existing models is also presented

  14. Structural equations for Killing tensors of order two. II

    International Nuclear Information System (INIS)

    Hauser, I.; Malhiot, R.J.

    1975-01-01

    In a preceding paper, a new form of the structural equations for any Killing tensor of order two have been derived; these equations constitute a system analogous to the Killing vector equations Nabla/sub alpha/ K/sub beta/ = ω/sub alpha beta/ = -ω/sub beta alpha/ and Nabla/sub gamma/ ω/sub alpha beta = R/sub alpha beta gamma delta/ K/sup delta/. The first integrability condition for the Killing tensor structural equations is now derived. The structural equations and the integrability condition have forms which can readily be expressed in terms of a null tetrad to furnish a Killing tensor parallel of the Newman--Penrose equations; this is briefly described. The integrability condition implies the new result, for any given space--time, that the dimension of the set of second-order Killing tensors attains its maximum possible value of 50 only if the space--time is of constant curvature. Potential applications of the structural equations are discussed

  15. UNDERSTANDING INFORMAL CONSTITUTIONAL CHANGE

    Directory of Open Access Journals (Sweden)

    Stephen M. Griffin

    2016-01-01

    Full Text Available Amid much recent American work on the problem of informal constitutional change, this article stakes out a distinctive position. I argue that theories of constitutional change in the US must address the question of the relationship between the “small c” and “big C” Constitution and treat seriously the possibility of conflict between them. I stress the unavoidable role the text of the Constitution and structural doctrines of federalism and separation of powers play in this relationship and thus in constitutional change, both formal and informal. I therefore counsel against theories that rely solely on a practice-based approach or analogies between “small c” constitutional developments and British or Commonwealth traditions of the “unwritten” constitution and constitutional “conventions.” The alternative I advocate is to approach constitutional change from a historicist perspective that focuses attention on state building and the creation of new institutional capacities. This approach will allow us to make progress by highlighting that there can be multiple constitutional orders in a given historical era, thus accounting for the conflictual nature of contemporary constitutional development in the US.

  16. Transnational Constitutional Law

    NARCIS (Netherlands)

    Zumbansen, P (Peer); K.I. Bhatt (Kinnari)

    2018-01-01

    textabstractThis chapter provides an overview of the emerging field of transnational constitutional law (TCL). Whilst questions of constitutional law are typically discussed in the context of a specific domestic legal setting, a salient strategy of TCL is to understand constitutional law and its

  17. Right Product, Wrong Packaging: Not 'Constitution', but 'Constitutional Charter'

    Directory of Open Access Journals (Sweden)

    John Law

    2007-05-01

    Full Text Available The article seeks to locate the principal cause of Europe’s prevailing ratification crisis in the inappropriate title arrived at in the European Convention, Treaty Establishing a Constitution for Europe. This over-ambitious styling led the media to characterise the text as simply an ‘EU Constitution’. Yet, the text was not a Constitution as we traditionally understand the term, i.e. the founding document of a State: scholars are agreed that the EU is not, and will not become upon ratification, a State.In terms of substance, whilst the text certainly strengthened some emerging constitutional aspects, it was not a major departure from the status quo like the Single European Act and Treaty on European Union had been; and it remained technically a treaty like all its predecessors. Arguably, therefore, it did not require referenda to ratify. However, confusion over the scale and importance of what was proposed, stemming from ambiguity in the title, pushed politicians down this unfortunate path.The article identifies a high level of consensus among commentators as to the true nature of the text: most are happy designating it a treaty (noun with constitutional (adjective aspects. The early proposed title Constitutional Treaty for Europe was arguably, therefore, the correct one; but it is now too late to choose this option, as the terms Constitution and Constitutional Treaty have already been muddled in debate. A more distinctive change is required. One idea could be to follow the principle employed elsewhere in the text of codifying the generally accepted but presently unwritten legal concepts of the European Court of Justice, as was done for example for ‘primacy’ and ‘direct effect’. The Court has characterised the EU treaties as a ‘constitutional charter’ for over twenty years now, and on this basis a modified title could read Treaty Establishing a Constitutional Charter for Europe. Importantly, the term ‘charter’ is recognised

  18. Mechanical study of PLA-PCL fibers during in vitro degradation.

    Science.gov (United States)

    Vieira, A C; Vieira, J C; Ferra, J M; Magalhães, F D; Guedes, R M; Marques, A T

    2011-04-01

    The aliphatic polyesters are widely used in biomedical applications since they are susceptible to hydrolytic and/or enzymatic chain cleavage, leading to α-hydroxyacids, generally metabolized in the human body. This is particularly useful for many biomedical applications, especially, for temporary mechanical supports in regenerative medical devices. Ideally, the degradation should be compatible with the tissue recovering. In this work, the evolution of mechanical properties during degradation is discussed based on experimental data. The decrease of tensile strength of PLA-PCL fibers follows the same trend as the decrease of molecular weight, and so it can also be modeled using a first order equation. For each degradation stage, hyperelastic models such as Neo-Hookean, Mooney-Rivlin and second reduced order, allow a reasonable approximation of the material behavior. Based on this knowledge, constitutive models that describe the mechanical behavior during degradation are proposed and experimentally validated. The proposed theoretical models and methods may be adapted and used in other biodegradable materials, and can be considered fundamental tools in the design of regenerative medical devices where strain energy is an important requirement, such as, for example, ligaments, cartilage and stents. Copyright © 2010 Elsevier Ltd. All rights reserved.

  19. Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law

    Science.gov (United States)

    Želi, Velibor; Zorica, Dušan

    2018-02-01

    Generalization of the heat conduction equation is obtained by considering the system of equations consisting of the energy balance equation and fractional-order constitutive heat conduction law, assumed in the form of the distributed-order Cattaneo type. The Cauchy problem for system of energy balance equation and constitutive heat conduction law is treated analytically through Fourier and Laplace integral transform methods, as well as numerically by the method of finite differences through Adams-Bashforth and Grünwald-Letnikov schemes for approximation derivatives in temporal domain and leap frog scheme for spatial derivatives. Numerical examples, showing time evolution of temperature and heat flux spatial profiles, demonstrate applicability and good agreement of both methods in cases of multi-term and power-type distributed-order heat conduction laws.

  20. Constitutional Rights in Indonesia

    OpenAIRE

    Judhariksawan

    2018-01-01

    The constitution is fundamental to the life of the modern state as a major foothold in state governance. Includes the guarantee of constitutional rights of citizens. The The constitution is the basis of state organizers to be implemented so that the state is obliged to guarantee the fulfillment of citizens' constitutional rights. Human rights have become an important part of the modern constitution. This study will describe how human rights guarantees become part of consti...

  1. The Constitutional Amendment Process

    Science.gov (United States)

    Chism, Kahlil

    2005-01-01

    This article discusses the constitutional amendment process. Although the process is not described in great detail, Article V of the United States Constitution allows for and provides instruction on amending the Constitution. While the amendment process currently consists of six steps, the Constitution is nevertheless quite difficult to change.…

  2. Structure preserving transformations for Newtonian Lie-admissible equations

    International Nuclear Information System (INIS)

    Cantrijn, F.

    1979-01-01

    Recently, a new formulation of non-conservative mechanics has been presented in terms of Hamilton-admissible equations which constitute a generalization of the conventional Hamilton equations. The algebraic structure entering the Hamilton-admissible description of a non-conservative system is that of a Lie-admissible algebra. The corresponding geometrical treatment is related to the existence of a so-called symplectic-admissible form. The transformation theory for Hamilton-admissible systems is currently investigated. The purpose of this paper is to describe one aspect of this theory by identifying the class of transformations which preserve the structure of Hamilton-admissible equations. Necessary and sufficient conditions are established for a transformation to be structure preserving. Some particular cases are discussed and an example is worked out

  3. Constitutional Politics, Constitutional Texts and Democratic Variety in Central and Eastern Europe

    OpenAIRE

    Blokker, Paul

    2008-01-01

    In the paper, it is argued that democratization in Central and Eastern Europe involves important forms of differentiation of democracy, rather than merely convergence to a singular – liberal-democratic, constitutional - model. One way of taking up democratic differentiation in post-communist societies is by analysing the constitutional documents of the new democratic orders, and the constitutional politics leading to the foundational documents. In a first step, the paper analyses constitution...

  4. Statistical Optics

    Science.gov (United States)

    Goodman, Joseph W.

    2000-07-01

    The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & Norman R. Draper Evolutionary Operation: A Statistical Method for Process Improvement George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Finite Groups of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I RIchard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold S. M. Coxeter Introduction to Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Cuthbert Daniel Fitting Equations to Data: Computer Analysis of Multifactor Data, Second Edition Bruno de Finetti Theory of Probability, Volume I Bruno de Finetti Theory of Probability, Volume 2 W. Edwards Deming Sample Design in Business Research

  5. Eigenvalues of the simplified ideal MHD ballooning equation

    International Nuclear Information System (INIS)

    Paris, R.B.; Auby, N.; Dagazian, R.Y.

    1986-01-01

    The investigation of the spectrum of the simplified differential equation describing the variation of the amplitude of the ideal MHD ballooning instability along magnetic field lines constitutes a multiparameter Schroedinger eigenvalue problem. An exact eigenvalue relation for the discrete part of the spectrum is obtained in terms of the oblate spheroidal functions. The dependence of the eigenvalues lambda on the two free parameters γ 2 and μ 2 of the equation is discussed, together with certain analytical approximations in the limits of small and large γ 2 . A brief review of the principal properties of the spheroidal functions is given in an appendix

  6. ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing

    KAUST Repository

    Calatroni, Luca

    2013-08-01

    We present directional operator splitting schemes for the numerical solution of a fourth-order, nonlinear partial differential evolution equation which arises in image processing. This equation constitutes the H -1-gradient flow of the total variation and represents a prototype of higher-order equations of similar type which are popular in imaging for denoising, deblurring and inpainting problems. The efficient numerical solution of this equation is very challenging due to the stiffness of most numerical schemes. We show that the combination of directional splitting schemes with implicit time-stepping provides a stable and computationally cheap numerical realisation of the equation.

  7. ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing

    KAUST Repository

    Calatroni, Luca; Dü ring, Bertram; Schö nlieb, Carola-Bibiane

    2013-01-01

    We present directional operator splitting schemes for the numerical solution of a fourth-order, nonlinear partial differential evolution equation which arises in image processing. This equation constitutes the H -1-gradient flow of the total variation and represents a prototype of higher-order equations of similar type which are popular in imaging for denoising, deblurring and inpainting problems. The efficient numerical solution of this equation is very challenging due to the stiffness of most numerical schemes. We show that the combination of directional splitting schemes with implicit time-stepping provides a stable and computationally cheap numerical realisation of the equation.

  8. A class of constitutive relations with internal variable derivatives. Derivation from homogenization and initial value problem

    International Nuclear Information System (INIS)

    Andrieux, S.; Joussemet, M.; Lorentz, E.

    1996-01-01

    A general framework for deriving and using a class of constitutive laws incorporating spatial gradients of internal variables is presented. It uses two basic ingredients: a derivation of such models by homogenization techniques and a reformulation of the evolution equation at the scale of the whole structure. (orig.)

  9. Transnational Constitutional Law

    OpenAIRE

    Zumbansen, P (Peer); Bhatt, Kinnari

    2018-01-01

    textabstractThis chapter provides an overview of the emerging field of transnational constitutional law (TCL). Whilst questions of constitutional law are typically discussed in the context of a specific domestic legal setting, a salient strategy of TCL is to understand constitutional law and its values by placing them ‘in context’ with existing and evolving cultural norms and political, social and economic discourses and struggles. Drawing on socio-legal investigations into the relationships ...

  10. An anisotropic elastoplastic constitutive formulation generalised for orthotropic materials

    Science.gov (United States)

    Mohd Nor, M. K.; Ma'at, N.; Ho, C. S.

    2018-03-01

    This paper presents a finite strain constitutive model to predict a complex elastoplastic deformation behaviour that involves very high pressures and shockwaves in orthotropic materials using an anisotropic Hill's yield criterion by means of the evolving structural tensors. The yield surface of this hyperelastic-plastic constitutive model is aligned uniquely within the principal stress space due to the combination of Mandel stress tensor and a new generalised orthotropic pressure. The formulation is developed in the isoclinic configuration and allows for a unique treatment for elastic and plastic orthotropy. An isotropic hardening is adopted to define the evolution of plastic orthotropy. The important feature of the proposed hyperelastic-plastic constitutive model is the introduction of anisotropic effect in the Mie-Gruneisen equation of state (EOS). The formulation is further combined with Grady spall failure model to predict spall failure in the materials. The proposed constitutive model is implemented as a new material model in the Lawrence Livermore National Laboratory (LLNL)-DYNA3D code of UTHM's version, named Material Type 92 (Mat92). The combination of the proposed stress tensor decomposition and the Mie-Gruneisen EOS requires some modifications in the code to reflect the formulation of the generalised orthotropic pressure. The validation approach is also presented in this paper for guidance purpose. The \\varvec{ψ} tensor used to define the alignment of the adopted yield surface is first validated. This is continued with an internal validation related to elastic isotropic, elastic orthotropic and elastic-plastic orthotropic of the proposed formulation before a comparison against range of plate impact test data at 234, 450 and {895 ms}^{-1} impact velocities is performed. A good agreement is obtained in each test.

  11. CAN THE MUSLIM WORLD BORROW FROM INDONESIAN CONSTITUTIONAL REFORM? A Comparative Constitutional Approach

    Directory of Open Access Journals (Sweden)

    Nadirsyah Hosen

    2007-06-01

    Full Text Available This paper attempts to analytically examine the possibility of constitutional borrowing for the Muslim world regardless the differences in history, system, culture, language, and cha­racteristics. It discusses this issue by looking at the arguments put forth by the oppo­nents of comparative cons­titutional interpre­tation and their counter arguments. It will consider materials from Canada, USA, South Africa, Singapore, Malaysia, and Hungary, taking the position that constitutional borrowing can be justified. The paper argues that the 1999-2002 Indonesian constitutional reform should be taken into account by other Muslim countries in undertaking their constitutional reform. The substantive approach of the Shari‘ah that has been used in Indonesia has shown that Muslim world can reform its constitutions without the “assistance” of Western foreign policy. Indo­nesian constitutional reform has demonstrated that Islamic constitutionalism comes from within Islamic teaching and the Islamic community itself; it is a home grown product.

  12. Constitutional Issues--Watergate and the Constitution. Teaching with Documents.

    Science.gov (United States)

    National Archives and Records Administration, Washington, DC.

    When U.S. President Richard Nixon resigned in 1974 in the wake of the Watergate scandal, it was only the second time that impeachment of a president had been considered. Although the U.S. Constitution has provisions for a person removed from office to be indicted, there are no guidelines in the Constitution about a President who has resigned. The…

  13. On the constitutive law of environment assisted fatigue: The physical meaning of the Paris type equations. Pt. 2

    International Nuclear Information System (INIS)

    Krausz, A.S.; Wu Xijia; Krausz, K.; Lian Zhiwen

    1992-01-01

    The physically based constitutive law of corrosion fatigue, derived in Part I from the principles of thermally activated processes and fracture kinetics, is applied for the representation of the crack growth rate over the whole stress intensity range. The behavior is expressed in terms of design and environmental factors and microstructural quantities. The constitutive law of fracture kinetics defines explicitly the effects of stress and temperature. Similarly, the role of the stress ratio R, the frequency and microstructure, follow rigorously. The influence of these factors on the crack growth rate and threshold behavior is discussed extensively. It is also demonstrated that fracture kinetics provides the framework for the detailed incorporation of corrosion chemical reaction and the associated diffusion processes. (orig.) [de

  14. Essential Medicines in National Constitutions

    Science.gov (United States)

    Toebes, Brigit; Hogerzeil, Hans

    2016-01-01

    Abstract A constitutional guarantee of access to essential medicines has been identified as an important indicator of government commitment to the progressive realization of the right to the highest attainable standard of health. The objective of this study was to evaluate provisions on access to essential medicines in national constitutions, to identify comprehensive examples of constitutional text on medicines that can be used as a model for other countries, and to evaluate the evolution of constitutional medicines-related rights since 2008. Relevant articles were selected from an inventory of constitutional texts from WHO member states. References to states’ legal obligations under international human rights law were evaluated. Twenty-two constitutions worldwide now oblige governments to protect and/or to fulfill accessibility of, availability of, and/or quality of medicines. Since 2008, state responsibilities to fulfill access to essential medicines have expanded in five constitutions, been maintained in four constitutions, and have regressed in one constitution. Government commitments to essential medicines are an important foundation of health system equity and are included increasingly in state constitutions. PMID:27781006

  15. A 1D thermomechanical network transition constitutive model coupled with multiple structural relaxation for shape memory polymers

    Science.gov (United States)

    Zeng, Hao; Xie, Zhimin; Gu, Jianping; Sun, Huiyu

    2018-03-01

    A new thermomechanical network transition constitutive model is proposed in the study to describe the viscoelastic behavior of shape memory polymers (SMPs). Based on the microstructure of semi-crystalline SMPs, a new simplified transformation equation is proposed to describe the transform of transient networks. And the generalized fractional Maxwell model is introduced in the paper to estimate the temperature-dependent storage modulus. In addition, a neo-KAHR theory with multiple discrete relaxation processes is put forward to study the structural relaxation of the nonlinear thermal strain in cooling/heating processes. The evolution equations of the time- and temperature-dependent stress and strain response are developed. In the model, the thermodynamical and mechanical characteristics of SMPs in the typical thermomechanical cycle are described clearly and the irreversible deformation is studied in detail. Finally, the typical thermomechanical cycles are simulated using the present constitutive model, and the simulation results agree well with the experimental results.

  16. A constitutive model for particulate-reinforced titanium matrix composites subjected to high strain rates and high temperatures

    Directory of Open Access Journals (Sweden)

    Song Wei-Dong

    2013-01-01

    Full Text Available Quasi-static and dynamic tension tests were conducted to study the mechanical properties of particulate-reinforced titanium matrix composites at strain rates ranging from 0.0001/s to 1000/s and at temperatures ranging from 20 °C to 650 °C Based on the experimental results, a constitutive model, which considers the effects of strain rate and temperature on hot deformation behavior, was proposed for particulate-reinforced titanium matrix composites subjected to high strain rates and high temperatures by using Zener-Hollomon equations including Arrhenius terms. All the material constants used in the model were identified by fitting Zener-Hollomon equations against the experimental results. By comparison of theoretical predictions presented by the model with experimental results, a good agreement was achieved, which indicates that this constitutive model can give an accurate and precise estimate for high temperature flow stress for the studied titanium matrix composites and can be used for numerical simulations of hot deformation behavior of the composites.

  17. The Causes of Failure of the European Constitution From the Perspective of the Constitution-Making Process

    Directory of Open Access Journals (Sweden)

    Robert Podolnjak

    2006-01-01

    Full Text Available The basic argument of the article is that the main causes of failure of the European Constitution stem from an inadequate preparation and implementation of a complex procedure of constitution-making for a federation of countries on a continental scale. This process includes the issues of temporal aspects of constitutionmaking, the subject of constitution-making, the text of the constitution, the strategy of constitutional ratifi cation and the constitution-makers themselves. The principal causes of failure of the European Constitution will be presented in the form of certain preliminary assumptions, which will then be examined in the light of certain comparative experiences of constitution-making in two federal systems – the American and the Swiss system. The primary mistakes of the European constitution-making are refl ected in the lack of an appropriate moment for making the constitution, in the vagueness of the document in terms of its constitutional or contractual quality, in the creation of a text of the Constitution which is completely incomprehensible to the average citizen, in the making of the Constitution without a vision or ambition, in the complete lack of any strategy of ratifi cation of the Constitution, in the insistence on the direct participation of the people in the adoption of the Constitution, which is legally and politically considered primarily an international treaty, and in badly managed media presentation and defence of the Constitution before the European public. The most important mistakes, crucial to the failure of the Constitution, are the ambivalent approach of the European constitutionmakers to the mode of ratifi cation of the Constitution, and their disregard of the constitution-making experience of other federal countries.

  18. ECHR and national constitutional courts

    Directory of Open Access Journals (Sweden)

    Nastić Maja

    2015-01-01

    Full Text Available Comprising fundamental rights and freedoms and establishing the effective control system, the European Convention on Human Rights (ECHR encroaches upon the area that is traditional reserved for constitutional law. Although built on the doctrine reserved for international treaty law, the Convention goes beyond the traditional boundaries that exist between international and constitutional law. It has gradually infiltrated into the national legal systems. Constitutional courts have had the crucial role in this process. This paper will focus on the applicability of the ECHR in proceedings before national constitutional courts. Having in mind the jurisdiction of the national constitutional court, the ECHR may be applied in two ways: first, in the process of constitutional review by national constitutional courts and, second, in the process of deciding on constitutional complaints.

  19. Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys

    Science.gov (United States)

    Hartl, D. J.; Lagoudas, D. C.

    2009-10-01

    The new developments summarized in this work represent both theoretical and experimental investigations of the effects of plastic strain generation in shape memory alloys (SMAs). Based on the results of SMA experimental characterization described in the literature and additional testing described in this work, a new 3D constitutive model is proposed. This phenomenological model captures both the conventional shape memory effects of pseudoelasticity and thermal strain recovery, and additionally considers the initiation and evolution of plastic strains. The model is numerically implemented in a finite element framework using a return mapping algorithm to solve the constitutive equations at each material point. This combination of theory and implementation is unique in its ability to capture the simultaneous evolution of recoverable transformation strains and irrecoverable plastic strains. The consideration of isotropic and kinematic plastic hardening allows the derivation of a theoretical framework capturing the interactions between irrecoverable plastic strain and recoverable strain due to martensitic transformation. Further, the numerical integration of the constitutive equations is formulated such that objectivity is maintained for SMA structures undergoing moderate strains and large displacements. The implemented model has been used to perform 3D analysis of SMA structural components under uniaxial and bending loads, including a case of local buckling behavior. Experimentally validated results considering simultaneous transformation and plasticity in a bending member are provided, illustrating the predictive accuracy of the model and its implementation.

  20. Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys

    International Nuclear Information System (INIS)

    Hartl, D J; Lagoudas, D C

    2009-01-01

    The new developments summarized in this work represent both theoretical and experimental investigations of the effects of plastic strain generation in shape memory alloys (SMAs). Based on the results of SMA experimental characterization described in the literature and additional testing described in this work, a new 3D constitutive model is proposed. This phenomenological model captures both the conventional shape memory effects of pseudoelasticity and thermal strain recovery, and additionally considers the initiation and evolution of plastic strains. The model is numerically implemented in a finite element framework using a return mapping algorithm to solve the constitutive equations at each material point. This combination of theory and implementation is unique in its ability to capture the simultaneous evolution of recoverable transformation strains and irrecoverable plastic strains. The consideration of isotropic and kinematic plastic hardening allows the derivation of a theoretical framework capturing the interactions between irrecoverable plastic strain and recoverable strain due to martensitic transformation. Further, the numerical integration of the constitutive equations is formulated such that objectivity is maintained for SMA structures undergoing moderate strains and large displacements. The implemented model has been used to perform 3D analysis of SMA structural components under uniaxial and bending loads, including a case of local buckling behavior. Experimentally validated results considering simultaneous transformation and plasticity in a bending member are provided, illustrating the predictive accuracy of the model and its implementation

  1. Institute of constitutional revision in the Constitution of the Republic of Albania, comparative view

    Directory of Open Access Journals (Sweden)

    Makbule Çeço

    2014-07-01

    Full Text Available In its very dynamic essence, a democratic society bears the need for continuous reformation and perfection, and that is why the application of reforms represents an inseparable feature for this type of society. The consolidation of the rule of law, the institutional independence, and the cause of justice itself comprise, inter alia, the need for constitutional revision. This study puts forward a theoretical-historical comparative view of the relevant and dynamic issue of the institute of constitutional revision in the framework of the Constitution of the Republic of Albania, as a complex process accompanied by limitations on constitutional revision. The historical evolution of constitutional drafting, modern constitutions, relevant issues, political and social circumstances as well as drafting and adoption procedures, dynamism of constitutions to cope with the course of time achieved by revisions for the purpose of their stability as well as consolidation of the role of constitutions as a factor that facilitates and precedes social development, comprise the pillar of this study addressed in a comparative point of view.

  2. A photometric function of planetary surfaces for gourmets

    Science.gov (United States)

    Shkuratov, Yuriy; Korokhin, Viktor; Shevchenko, Vasilij; Mikhalchenko, Olga; Belskaya, Irina; Kaydash, Vadym; Videen, Gorden; Zubko, Evgenij; Velikodsky, Yuriy

    2018-03-01

    A new photometric model with small number of parameters is presented. The model is based on an assumption that there exist such surfaces for which spatial brightness variations caused by small topography undulations can be reproduced exactly by corresponding spatial variations of albedo. This indistinguishability results in a differential equation suggesting a new photometric function that generalizes, in particular, the Akimov disk-function. Our model provides excellent fits in a wide phase-angle range for integral observations of asteroids of different albedos. We also carried out fitting to integral observations of the Moon and Mercury, confirming difficulties in describing Mercury's phase function at large phase angles, which were also found for the Hapke model. Comparisons of global latitude and longitude trends with our model calculations have shown good coincidence for the Moon. To retrieve the lunar trends, we use the phase-ratio technique, applying it to our telescope observations. Mapping the model parameters using LROC WAC data were carried out for a region comprising the Reiner Gamma formation. This mapping allows us to calculate phase-ratio images of the region, showing at large phase angles systematically steeper phase curves of young craters and smaller steepness for the very Reiner Gamma formation.

  3. A Constitutive Formulation for the Linear Thermoelastic Behavior of Arbitrary Fiber-Reinforced Composites

    Directory of Open Access Journals (Sweden)

    Melek Usal

    2010-01-01

    Full Text Available The linear thermoelastic behavior of a composite material reinforced by two independent and inextensible fiber families has been analyzed theoretically. The composite material is assumed to be anisotropic, compressible, dependent on temperature gradient, and showing linear elastic behavior. Basic principles and axioms of modern continuum mechanics and equations belonging to kinematics and deformation geometries of fibers have provided guidance and have been determining in the process of this study. The matrix material is supposed to be made of elastic material involving an artificial anisotropy due to fibers reinforcing by arbitrary distributions. As a result of thermodynamic constraints, it has been determined that the free energy function is dependent on a symmetric tensor and two vectors whereas the heat flux vector function is dependent on a symmetric tensor and three vectors. The free energy and heat flux vector functions have been represented by a power series expansion, and the type and the number of terms taken into consideration in this series expansion have determined the linearity of the medium. The linear constitutive equations of the stress and heat flux vector are substituted in the Cauchy equation of motion and in the equation of conservation of energy to obtain the field equations.

  4. A multiphase constitutive model of reinforced soils accounting for soil-inclusion interaction behaviour

    OpenAIRE

    BENNIS, M; DE BUHAN, P

    2003-01-01

    A two-phase continuum description of reinforced soil structures is proposed in which the soil mass and the reinforcement network are treated as mutually interacting superposed media. The equations governing such a model are developed in the context of elastoplasticity, with special emphasis put on the soil/reinforcement interaction constitutive law. As shown in an illustrative example, such a model paves the way for numerically efficient design methods of reinforced soil structures.

  5. Mechanical Behaviour of Materials Volume 1 Micro- and Macroscopic Constitutive Behaviour

    CERN Document Server

    François, Dominique; Zaoui, André

    2012-01-01

    Advances in technology are demanding ever-increasing mastery over the materials being used: the challenge is to gain a better understanding of their behaviour, and more particularly of the relations between their microstructure and their macroscopic properties.   This work, of which this is the first volume, aims to provide the means by which this challenge may be met. Starting from the mechanics of deformation, it develops the laws governing macroscopic behaviour – expressed as the constitutive equations – always taking account of the physical phenomena which underlie rheological behaviour. The most recent developments are presented, in particular those concerning heterogeneous materials such as metallic alloys, polymers and composites. Each chapter is devoted to one of the major classes of material behaviour.   As the subtitles indicate, Volume 1 deals with micro- and macroscopic constitutive behaviour and Volume 2 with damage and fracture mechanics. A third volume will be devoted to exercises and the...

  6. A fractal derivative constitutive model for three stages in granite creep

    Directory of Open Access Journals (Sweden)

    R. Wang

    Full Text Available In this paper, by replacing the Newtonian dashpot with the fractal dashpot and considering damage effect, a new constitutive model is proposed in terms of time fractal derivative to describe the full creep regions of granite. The analytic solutions of the fractal derivative creep constitutive equation are derived via scaling transform. The conventional triaxial compression creep tests are performed on MTS 815 rock mechanics test system to verify the efficiency of the new model. The granite specimen is taken from Beishan site, the most potential area for the China’s high-level radioactive waste repository. It is shown that the proposed fractal model can characterize the creep behavior of granite especially in accelerating stage which the classical models cannot predict. The parametric sensitivity analysis is also conducted to investigate the effects of model parameters on the creep strain of granite. Keywords: Beishan granite, Fractal derivative, Damage evolution, Scaling transformation

  7. The Possibility of Vice-Presidents’ Authority Arrangement in the 1945 Constitution through Constitutional Amendment

    Directory of Open Access Journals (Sweden)

    Fajar L. Suroso

    2016-04-01

    Full Text Available The debate over the vice-presidents’ authority reappeared in the administration of President Jokowi after the “authority expansion of the Chief of Presidency Staff” and the case of “Rizal Ramli vs Jusuf Kalla”. This article is intended to provide arguments for the idea of some parties to organize more explicit and detailed the authority of vice-president in the 1945 Constitution. The idea arises from the absence of further arrangement on the authority of vice-president in the 1945 Constitution. This article is systematized into 3 (three sub-theme; 1 the arrangement of the vice-presidents’ authority in the constitution for several countries; 2 The authority of the vice-president according to the 1945 Constitution, and 3 New resultant and the possibility of 1945 Constitution amendment. The result revealed a number of interesting things; 1 the constitutions of other countries do not specify the authority of the vice-president and put the vice-president as a “spare tire” when the president is absent; 2 no new resultant about the position and authority of the vice-president so that theoretically is not reason enough to regulate in detail the authority of the vice-president through the 1945 Constitution amendment; 3 arrangement in detail in the authority of vice-president in the 1945 Constitution holds the potential to confuse the presidential system design as the 1945 Constitution. Therefore, the possibility of vice-presidents’ authority arrangement in the 1945 Constitution through amendment is very small, both in terms of momentum and the substance of issues.

  8. Constitutional Fundamentals of Conscription and Some Aspects of the Ordinary Legal Regulation of Constitutionality

    Directory of Open Access Journals (Sweden)

    Kenstavičienė Kristina

    2015-12-01

    Full Text Available Article 139 of the Constitution of the Republic of Lithuania is one of the constitutional fundamentals of state defense and stipulates the defense of the state as the right of citizens on the one hand and the duty on the other. This article of the Constitution gives the legislative power the right of discretion to detail by law the order of the implementation of citizens’ duty to perform military or alternative country defense service. Due to the reorganization of the armed forces into a professional and volunteer army, the issue of some ordinary regulation rules concerning the constitutionality of nationwide conscription, though at present suspended but not abolished, is becoming urgent. Though the Constitutional Court of the Republic of Lithuania presented their ruling on the constitutionality of the suspension of military conscription, it does not mean that all problems related to conscription have been settled. The aim of this article is to analyze the constitutional basis of nationwide conscription as well as the constitutionality of some ordinary regulation provisions related to nationwide conscription. Therefore, the issue to be analyzed is whether nationwide conscription, if it were to be implemented, complies with the constitutional principles of human equality and military justice1. Consequently, the question is posed how the constitutional objective of ensuring the defense of the state determines conscription. Because of the growing employment of the army abroad, yet the dwindling demand for conscripts, it should be explored whether the suspension of the nationwide conscription as a part of the defense reform is further feasible in order to guarantee the defense of the state. In answering the raised questions, the author will analyze the abundant and long-lasting constitutional doctrine of Germany which provides clarifications of the Basic Law, as the legal act of the establishing power, which can doubtless be of assistance in

  9. Hypersonic expansion of the Fokker--Planck equation

    International Nuclear Information System (INIS)

    Fernandez-Feria, R.

    1989-01-01

    A systematic study of the hypersonic limit of a heavy species diluted in a much lighter gas is made via the Fokker--Planck equation governing its velocity distribution function. In particular, two different hypersonic expansions of the Fokker--Planck equation are considered, differing from each other in the momentum equation of the heavy gas used as the basis of the expansion: in the first of them, the pressure tensor is neglected in that equation while, in the second expansion, the pressure tensor term is retained. The expansions are valid when the light gas Mach number is O(1) or larger and the difference between the mean velocities of light and heavy components is small compared to the light gas thermal speed. They can be applied away from regions where the spatial gradient of the distribution function is very large, but it is not restricted with respect to the temporal derivative of the distribution function. The hydrodynamic equations corresponding to the lowest order of both expansions constitute two different hypersonic closures of the moment equations. For the subsequent orders in the expansions, closed sets of moment equations (hydrodynamic equations) are given. Special emphasis is made on the order of magnitude of the errors of the lowest-order hydrodynamic quantities. It is shown that if the heat flux vanishes initially, these errors are smaller than one might have expected from the ordinary scaling of the hypersonic closure. Also it is found that the normal solution of both expansions is a Gaussian distribution at the lowest order

  10. Ill-posedness of Dynamic Equations of Compressible Granular Flow

    Science.gov (United States)

    Shearer, Michael; Gray, Nico

    2017-11-01

    We introduce models for 2-dimensional time-dependent compressible flow of granular materials and suspensions, based on the rheology of Pouliquen and Forterre. The models include density dependence through a constitutive equation in which the density or volume fraction of solid particles with material density ρ* is taken as a function of an inertial number I: ρ = ρ * Φ(I), in which Φ(I) is a decreasing function of I. This modelling has different implications from models relying on critical state soil mechanics, in which ρ is treated as a variable in the equations, contributing to a flow rule. The analysis of the system of equations builds on recent work of Barker et al in the incompressible case. The main result is the identification of a criterion for well-posedness of the equations. We additionally analyze a modification that applies to suspensions, for which the rheology takes a different form and the inertial number reflects the role of the fluid viscosity.

  11. Diffusion with space memory modelled with distributed order space fractional differential equations

    Directory of Open Access Journals (Sweden)

    M. Caputo

    2003-06-01

    Full Text Available Distributed order fractional differential equations (Caputo, 1995, 2001; Bagley and Torvik, 2000a,b were fi rst used in the time domain; they are here considered in the space domain and introduced in the constitutive equation of diffusion. The solution of the classic problems are obtained, with closed form formulae. In general, the Green functions act as low pass fi lters in the frequency domain. The major difference with the case when a single space fractional derivative is present in the constitutive equations of diffusion (Caputo and Plastino, 2002 is that the solutions found here are potentially more fl exible to represent more complex media (Caputo, 2001a. The difference between the space memory medium and that with the time memory is that the former is more fl exible to represent local phenomena while the latter is more fl exible to represent variations in space. Concerning the boundary value problem, the difference with the solution of the classic diffusion medium, in the case when a constant boundary pressure is assigned and in the medium the pressure is initially nil, is that one also needs to assign the fi rst order space derivative at the boundary.

  12. Self-Consistent Sources Extensions of Modified Differential-Difference KP Equation

    Science.gov (United States)

    Gegenhasi; Li, Ya-Qian; Zhang, Duo-Duo

    2018-04-01

    In this paper, we investigate a modified differential-difference KP equation which is shown to have a continuum limit into the mKP equation. It is also shown that the solution of the modified differential-difference KP equation is related to the solution of the differential-difference KP equation through a Miura transformation. We first present the Grammian solution to the modified differential-difference KP equation, and then produce a coupled modified differential-difference KP system by applying the source generation procedure. The explicit N-soliton solution of the resulting coupled modified differential-difference system is expressed in compact forms by using the Grammian determinant and Casorati determinant. We also construct and solve another form of the self-consistent sources extension of the modified differential-difference KP equation, which constitutes a Bäcklund transformation for the differential-difference KP equation with self-consistent sources. Supported by the National Natural Science Foundation of China under Grant Nos. 11601247 and 11605096, the Natural Science Foundation of Inner Mongolia Autonomous Region under Grant Nos. 2016MS0115 and 2015MS0116 and the Innovation Fund Programme of Inner Mongolia University No. 20161115

  13. 78 FR 57777 - Constitution Day and Citizenship Day, Constitution Week, 2013

    Science.gov (United States)

    2013-09-19

    ... strength of our common ideals. In a document that has endured for more than two and a quarter centuries, the Framers put forth their vision for a more perfect Union. Our Constitution was signed on September... citizenship, recognize the enduring strength of our Constitution, and reaffirm our commitment to the rights...

  14. The equations icons of knowledge

    CERN Document Server

    Bais, Sander

    2005-01-01

    For thousands of years mankind has tried to understand nature. Exploring the world on all scales with instruments of ever more ingenuity, we have been able to unravel some of the great mysteries that surround us. While collecting an overwhelming multitude of observational facts, we discovered fundamental laws that govern the structure and evolution of physical reality. We know that nature speaks to us in the language of mathematics. In this language most of our basic understanding of the physical world can be expressed in an unambiguous and concise way. The most artificial language turns out to be the most natural of all. The laws of nature correspond to equations. These equations are the icons of knowledge that mark crucial turning points in our thinking about the world we happen to live in. They form the symbolic representation of most of what we know, and as such constitute an important and robust part of our culture.

  15. Change of position of constitutional judiciary

    Directory of Open Access Journals (Sweden)

    Orlović Slobodan P.

    2013-01-01

    Full Text Available Constitutional judiciary is the youngest branch of authority in the horizontal level of state power. Constitutional judiciary has, during its existence - during two centuries as an ordinary court and during one century as a special authority, changed its position, role and importance. Those characteristics of constitutional judiciary had an increasing way - the position became better, in political and law sense, its role has expanded and the importance has increased. Today, constitutional judiciary is an inevitable subject of constitutional regimes in huge number of states (between them are almost all federations but, in the same time, constitutional judiciary is an authority which is at least limited by the constitution. The constitution is "soft" to the constitutional judiciary because the judiciary interpreted the constitution in accordance to its political and law attitudes, hidden by the guise of protection. Different separation of power, a rise of executive power, requests for better protections of fundamental human rights, a changed role of state and executive power, altogether, have influenced to change of position of constitutional judiciary.

  16. Contested constitutions: Legitimacy of constitution-making and constitutional conflict in Central Europe

    NARCIS (Netherlands)

    de Raadt, J.B.

    2009-01-01

    What were the effects of constitution-making procedures on the acceptance of the new "rules of the political game" in postcommunist Central Europe? This article sets out to scrutinise the increasingly popular claim among politicians and scholars of democratisation that inclusiveness and popular

  17. Constitutional Referendums:A Theoretical Enquiry

    OpenAIRE

    Tierney, Stephen

    2009-01-01

    In recent decades the use of referendums to settle major constitutional questions has increased dramatically. Addressing this phenomenon as a case study in the relationship between democracy and constitutional sovereignty, this article has two aims.The first is to argue that these constitutional referendums are categorically different from ordinary, legislative referendums, and that this has important implications for theories of constitutional sovereignty. Secondly, the article suggests that...

  18. Shock-wave structure based on the Navier-Stokes-Fourier equations

    Science.gov (United States)

    Uribe, F. J.; Velasco, R. M.

    2018-04-01

    We use the Navier-Stokes-Fourier constitutive equations to study plane shock waves in dilute gases. It is shown that the experimental information on the normalized density profiles can be fit by using the so-called soft sphere model, in which the viscosity and thermal conductivity are proportional to a power of the temperature.

  19. A constitutive rheological model for agglomerating blood derived from nonequilibrium thermodynamics

    Science.gov (United States)

    Tsimouri, Ioanna Ch.; Stephanou, Pavlos S.; Mavrantzas, Vlasis G.

    2018-03-01

    Red blood cells tend to aggregate in the presence of plasma proteins, forming structures known as rouleaux. Here, we derive a constitutive rheological model for human blood which accounts for the formation and dissociation of rouleaux using the generalized bracket formulation of nonequilibrium thermodynamics. Similar to the model derived by Owens and co-workers ["A non-homogeneous constitutive model for human blood. Part 1. Model derivation and steady flow," J. Fluid Mech. 617, 327-354 (2008)] through polymer network theory, each rouleau in our model is represented as a dumbbell; the corresponding structural variable is the conformation tensor of the dumbbell. The kinetics of rouleau formation and dissociation is treated as in the work of Germann et al. ["Nonequilibrium thermodynamic modeling of the structure and rheology of concentrated wormlike micellar solutions," J. Non-Newton. Fluid Mech. 196, 51-57 (2013)] by assuming a set of reversible reactions, each characterized by a forward and a reverse rate constant. The final set of evolution equations for the microstructure of each rouleau and the expression for the stress tensor turn out to be very similar to those of Owens and co-workers. However, by explicitly considering a mechanism for the formation and breakage of rouleaux, our model further provides expressions for the aggregation and disaggregation rates appearing in the final transport equations, which in the kinetic theory-based network model of Owens were absent and had to be specified separately. Despite this, the two models are found to provide similar descriptions of experimental data on the size distribution of rouleaux.

  20. Constitutional reform as process

    OpenAIRE

    Schultze, Rainer-Olaf (Prof.)

    2000-01-01

    Constitutional reform as process. - In: The politics of constitutional reform in North America / Rainer-Olaf Schultze ... (eds.). - Opladen : Leske + Budrich, 2000. - S. 11-31. - (Politikwissenschaftliche paperbacks ; 30)

  1. Derivation of simplified basic equations of gas-liquid two-phase dispersed flow based on two-fluid model

    International Nuclear Information System (INIS)

    Kataoka, Isao; Tomiyama, Akio

    2004-01-01

    The simplified and physically reasonable basic equations for the gas-liquid dispersed flow were developed based on some appropriate assumptions and the treatment of dispersed phase as isothermal rigid particles. Based on the local instant formulation of mass, momentum and energy conservation of the dispersed flow, time-averaged equations were obtained assuming that physical quantities in the dispersed phase are uniform. These assumptions are approximately valid when phase change rate and/or chemical reaction rate are not so large at gas-liquid interface and there is no heat generation in within the dispersed phase. Detailed discussions were made on the characteristics of obtained basic equations and physical meanings of terms consisting the basic equations. It is shown that, in the derived averaged momentum equation, the terms of pressure gradient and viscous momentum diffusion do not appear and, in the energy equation, the term of molecular thermal diffusion heat flux does not appear. These characteristics of the derived equations were shown to be very consistent concerning the physical interpretation of the gas-liquid dispersed flow. Furthermore, the obtained basic equations are consistent with experiments for the dispersed flow where most of averaged physical quantities are obtained assuming that the distributions of those are uniform within the dispersed phase. Investigation was made on the problem whether the obtained basic equations are well-posed or ill-posed for the initial value problem. The eigenvalues of the simplified mass and momentum equations are calculated for basic equations obtained here and previous two-fluid basic equations with one pressure model. Well-posedness and ill-posedness are judged whether the eigenvalues are real or imaginary. The result indicated the newly developed basic equations always constitute the well-posed initial value problem while the previous two-fluid basic equations based on one pressure model constitutes ill

  2. Post-Revolution Constitutionalism: The Impact of Drafting Processes on the Constitutional Documents in Tunisia and Egypt

    DEFF Research Database (Denmark)

    Elsayed, Ahmed Mohamed Abdelfattah

    2014-01-01

    This paper seeks to address the constitutional paths that followed the Arab awakening in both Tunisia and Egypt. The Tunisian constitutional process, despite some tensions, was largely peaceful and consensual. On the other hand, the process in Egypt of establishing a new constitutional arrangement...... at identifying the factors have impacted both the constitutional drafting process and the popular perception of the produced constitutions in each of Tunisia and Egypt....

  3. A Computing Method to Determine the Performance of an Ionic Liquid Gel Soft Actuator.

    Science.gov (United States)

    He, Bin; Zhang, Chenghong; Zhou, Yanmin; Wang, Zhipeng

    2018-01-01

    A new type of soft actuator material-an ionic liquid gel (ILG) that consists of BMIMBF 4 , HEMA, DEAP, and ZrO 2 -is polymerized into a gel state under ultraviolet (UV) light irradiation. In this paper, we first propose that the ILG conforms to the assumptions of hyperelastic theory and that the Mooney-Rivlin model can be used to study the properties of the ILG. Under the five-parameter and nine-parameter Mooney-Rivlin models, the formulas for the calculation of the uniaxial tensile stress, plane uniform tensile stress, and 3D directional stress are deduced. The five-parameter and nine-parameter Mooney-Rivlin models of the ILG with a ZrO 2 content of 3 wt% were obtained by uniaxial tensile testing, and the parameters are denoted as c 10 , c 01 , c 20 , c 11 , and c 02 and c 10 , c 01 , c 20 , c 11 , c 02 , c 30 , c 21 , c 12 , and c 03 , respectively. Through the analysis and comparison of the uniaxial tensile stress between the calculated and experimental data, the error between the stress data calculated from the five-parameter Mooney-Rivlin model and the experimental data is less than 0.51%, and the error between the stress data calculated from the nine-parameter Mooney-Rivlin model and the experimental data is no more than 8.87%. Hence, our work presents a feasible and credible formula for the calculation of the stress of the ILG. This work opens a new path to assess the performance of a soft actuator composed of an ILG and will contribute to the optimized design of soft robots.

  4. A constitutive model for the flow through an assembly of circular section rods

    International Nuclear Information System (INIS)

    Moeller, S.V.

    1979-08-01

    The determination of the flow through an uniform array of rod bundle is made by means of the Continuum Theories of Mixtures, which gives balance equations for the system. The hypotheses of isothermal and fully developed turbulent flow are made. Constitutive equations for the resistive force are determined from Jakob's and Rowe's correlations, and its behaviour analysed for a standard case. Comparison of these equations with Bottgenbach's experiments shows good agreement of the direction of the pressure, although direct comparison between present theory and his theory is not possible. For the confirmation of the model an experiment is performed, this consisting of measuring pressure drop (Euler's Number) in the axial and transverse direction of a random array rod bundle at various angles as functions of velocity (Reynold's Number), which has good agreement, except on axial direction. At last, a sample problem is formulated with the purpose of showing the applicability of the model, this being the determination of pressure field due to the influence of a baffle. (Author) [pt

  5. The diffusion of constitutional rights

    NARCIS (Netherlands)

    Goderis, B.V.G.; Versteeg, M.

    Constitutions are commonly regarded as uniquely national products, shaped by domestic ideals and politics. This paper develops and empirically investigates a novel hypothesis, which is that constitutions are also shaped by transnational influence, or “diffusion.” Constitutional rights can diffuse

  6. A Modified Eyring Equation for Modeling Yield and Flow Stresses of Metals at Strain Rates Ranging from 10−5 to 5 × 104 s−1

    Directory of Open Access Journals (Sweden)

    Ramzi Othman

    2015-01-01

    Full Text Available In several industrial applications, metallic structures are facing impact loads. Therefore, there is an important need for developing constitutive equations which take into account the strain rate sensitivity of their mechanical properties. The Johnson-Cook equation was widely used to model the strain rate sensitivity of metals. However, it implies that the yield and flow stresses are linearly increasing in terms of the logarithm of strain rate. This is only true up to a threshold strain rate. In this work, a three-constant constitutive equation, assuming an apparent activation volume which decreases as the strain rate increases, is applied here for some metals. It is shown that this equation fits well the experimental yield and flow stresses for a very wide range of strain rates, including quasi-static, high, and very high strain rates (from 10−5 to 5 × 104 s−1. This is the first time that a constitutive equation is showed to be able to fit the yield stress over a so large strain rate range while using only three material constants.

  7. Legitimacy of Constitutional Justice: Democracy, Constitutional Court and Theory Against Majority Interest

    Directory of Open Access Journals (Sweden)

    Thaminne Nathalia Cabral Moraes e Silva

    2016-12-01

    Full Text Available This article has as its theme the analysis of the separation of powers and the rule of democracy, in addition to the possibility of the Constitutional Court be composed of people appointed by the President of the Republic, not fulfilling the democratic rule, and make the control of constitutionality of laws, created through democratic process. Will be answered: the separation of powers obey the democratic rule? When the Legislature fails to fulfill its function of legislating, opens the opportunity for the Supreme Court, as the Constitutional Court that is, create, through judicial activism, silent rules? That injured the democratic rule?

  8. Legal theology in imposed constitutionalism

    DEFF Research Database (Denmark)

    Abat Ninet, Antoni

    2018-01-01

    The focus of this paper is the question of legitimacy, and how can we consider legitimate an imposed constitution and the subsequent constitutional principles, practices and values that go hand-in-hand with the legal and political acculturation. Constitutional texts around the world are good...

  9. Creep mechanisms and constitutive relations in pure metals

    International Nuclear Information System (INIS)

    Nix, W.D.

    1979-01-01

    The mechanisms of creep of pure metals is briefly reviewed and divided into two parts: steady state flow mechanisms, and non-steady state flow mechanisms and constitutive relations. Creep by diffusional flow is now reasonably well understood, with theory and experiment in good agreement. The closely related phenomenon of Harper--Dorn creep can also be understood in terms of diffusion between dislocations. Power law creep involves the climb of edge disloctions controlled by lattice self diffusion. Theoretical treatments of this process invariably give a power law exponent of 3. This natural creep law is compared with the data for FCC and BCC metals. It is suggested that diffusion controlled climb is the controlling process in BCC metals at very high temperatures. Stacking fault energy effects may preclude the possibility that creep is controlled entirely by lattice self diffusion in some FCC metals. The subject of power law breakdown is presented as a natural consequence of the transition to low temperature flow phenomena. The role of core diffusion in this transition is briefly discussed. The mechanisms are presented by which pure metals creep at elevated temperatures. While most of this review deals with the mechanisms of steady state flow, some discussion is devoted to creep flow under non-steady state conditions. This topic is discussed in connection with the development of constitutive equations for describing plastic flow in metals

  10. A new numerical approximation of the fractal ordinary differential equation

    Science.gov (United States)

    Atangana, Abdon; Jain, Sonal

    2018-02-01

    The concept of fractal medium is present in several real-world problems, for instance, in the geological formation that constitutes the well-known subsurface water called aquifers. However, attention has not been quite devoted to modeling for instance, the flow of a fluid within these media. We deem it important to remind the reader that the concept of fractal derivative is not to represent the fractal sharps but to describe the movement of the fluid within these media. Since this class of ordinary differential equations is highly complex to solve analytically, we present a novel numerical scheme that allows to solve fractal ordinary differential equations. Error analysis of the method is also presented. Application of the method and numerical approximation are presented for fractal order differential equation. The stability and the convergence of the numerical schemes are investigated in detail. Also some exact solutions of fractal order differential equations are presented and finally some numerical simulations are presented.

  11. Short-term Probabilistic Forecasting of Wind Speed Using Stochastic Differential Equations

    DEFF Research Database (Denmark)

    Iversen, Jan Emil Banning; Morales González, Juan Miguel; Møller, Jan Kloppenborg

    2016-01-01

    and uncertain nature. In this paper, we propose a modeling framework for wind speed that is based on stochastic differential equations. We show that stochastic differential equations allow us to naturally capture the time dependence structure of wind speed prediction errors (from 1 up to 24 hours ahead) and......It is widely accepted today that probabilistic forecasts of wind power production constitute valuable information for both wind power producers and power system operators to economically exploit this form of renewable energy, while mitigating the potential adverse effects related to its variable......, most importantly, to derive point and quantile forecasts, predictive distributions, and time-path trajectories (also referred to as scenarios or ensemble forecasts), all by one single stochastic differential equation model characterized by a few parameters....

  12. A comparison of elastic-plastic and variable modulus-cracking constitutive models for prestressed concrete reactor vessels

    International Nuclear Information System (INIS)

    Anderson, C.A.; Smith, P.D.

    1979-01-01

    Numerical prediction of the behavior of prestressed concrete reactor vessels (PCRVs) under static, dynamic and long term loadings is complicated by the currently ill-defined behavior of concrete under stress and the three-dimensional nature of PCRVs. Which constitutive model most closely approximates the behavior of concrete in PCRVs under load has not yet been decided. Many equations for accurately modeling the three-dimensional behavior of PCRVs tax the capability of a most up-to-date computing system. The main purpose of this paper is to compare the characteristics of two constitutive models which have been proposed for concrete, variable modulus cracking model and elastic-plastic model. Moreover, the behavior of typical concrete structures was compared, the materials of which obey these constitutive laws. The response to internal pressure of PCRV structure, the constitutive models for concrete, the test problems using a thick-walled concrete ring and a rectangular concrete plate, and the analysis of an axisymmetric concrete pressure vessel PV-26 using the variable modulus cracking model of the ADINA code are explained. The variable modulus cracking model can predict the behavior of reinforced concrete structures well into the range of nonlinear behavior. (Kako, I.)

  13. Constitutive equations of a ballistic steel alloy as a function of temperature

    Directory of Open Access Journals (Sweden)

    Coghe F.

    2012-08-01

    Full Text Available In the present work, dynamic tests have been performed on a new ballistic steel alloy by means of split Hopkinson pressure bars (SHPB. The impact behavior was investigated for strain rates ranging from 1000 to 2500 s−1, and temperatures in the range from − 196 to 300∘C. A robotized sample device was developed for transferring the sample from the heating or cooling device to the position between the bars. Simulations of the temperature evolution and its distribution in the specimen were performed using the finite element method. Measurements with thermocouples added inside the sample were carried out in order to validate the FEM simulations. The results show that a thermal gradient is present inside the sample; the average temperature loss during the manipulation of the sample is evaluated. In a last stage, optimal material constants for different constitutive models (Johnson-Cook, Zerilli-Amstrong, Cowper-Symonds has been computed by fitting, in a least square sense, the numerical and experimental stress-strain curves. They have been implemented in a hydrocode for validation using a simple impact problem: an adapted projectile geometry with a truncated nose (.50 calibre fragment simulating projectiles was fired directly against an armor plate. The parameters of the selected strength and failure models were determined. There is a good correspondence between the experimental and computed results. Nevertheless, an improved failure model is necessary to get satisfactory computed residual projectile velocities.

  14. Political dimension of European constitutionalism

    Directory of Open Access Journals (Sweden)

    Kaplánová Patricia

    2015-04-01

    Full Text Available Author in the article tries to analyse different elements of document called European Constitution. Analysis is supported with theoretical framework of federalism, presented by Brezovšek. Authors is playing with idea of (confederal and international organization elements of European Constitution and their mix. They are also trying to set some connections between so called common European identity as necessary condition to give legitimacy to the European Constitution. This became important question after „votes of non-confidence“ to the European Constitution in France, despite it should be addressed already before. However, European Constitution is important document on the path of European integration and lack of support to it will slow down this process of widening and deepening European ties.

  15. COUNTERMAJORITARIAN INSTITUTIONS IN THE RUSSIAN CONSTITUTION OF 1993 AS AN INSTRUMENT ENSURING CONSTITUTIONAL AND POLITICAL STABILITY

    Directory of Open Access Journals (Sweden)

    S. Shakhray

    2018-01-01

    Full Text Available The article enriches the discussion on the legal reasons and conditions fostering the viability of democratic constitutions by analyzing the rich experience of the Russian Constitution of 1993. Particular attention is paid to the concept of countermajoritarian institutions. The authors elaborate the idea that countermajoritarian institutions can play an important role in ensuring the viability (put in other terms, the proper balance between stability, adaptability, and dynamic development of modern democratic constitutions as well as political regimes.The article presents evidence-based data showing that the President and the Constitutional Court of the Russian Federation systematically acted as countermajoritarian institutions at the initial stage of the implementation of the “blueprint for the future” set down in the 1993 Russian Constitution. As a result of the activities of these institutions, strong legal frameworks were created that are necessary for the establishment of anew constitutional system of the Russian state and law.Today, the Russian Constitution of 1993 is one of the longest lasting democratic constitutions in the world (the average “life expectancy” of democratic constitutions adopted over the past 250 years is about seventeen years. The study of the countermajoritarian provisions in the 1993 Russian Constitution is of both theoretical and practical importance. In particular, the results of the study can be useful in creating efficient legal instruments for the maintenance of political stability and social development management both within sovereign states and within interstate communities.

  16. Some applications of linear difference equations in finance with wolfram|alpha and maple

    Directory of Open Access Journals (Sweden)

    Dana Rıhová

    2014-12-01

    Full Text Available The principle objective of this paper is to show how linear difference equations can be applied to solve some issues of financial mathematics. We focus on the area of compound interest and annuities. In both cases we determine appropriate recursive rules, which constitute the first order linear difference equations with constant coefficients, and derive formulas required for calculating examples. Finally, we present possibilities of application of two selected computer algebra systems Wolfram|Alpha and Maple in this mathematical area.

  17. Constitutive Relationship Modeling and Characterization of Flow Behavior under Hot Working for Fe–Cr–Ni–W–Cu–Co Super-Austenitic Stainless Steel

    Directory of Open Access Journals (Sweden)

    Li-Chih Yang

    2015-09-01

    Full Text Available The hot deformation behavior of a Fe–22Cr–25Ni–3.5W–3Cu–1.5Co super-austenitic stainless steel was investigated using isothermal compression tests with a wide range of temperatures (1173–1373 K and strain rates (0.1–10 s−1. The results showed that all the flow curves gradually turned to balanced stress state without notable peak stress characteristics during the entire deformation, which indicated that the dynamic recovery behavior played a main restoration mechanism in the steel. Modeling constitutive equations relating to the temperature, strain rate and flow stress were proposed to determine the materials constants and activation energy necessary for deformation. In order to give the precise predicted values of the flow behavior, the influence of strain was identified using polynomial functions. The relationship of flow stress, temperature and strain rate was represented by the Zener-Hollomon parameter including the Arrhenius term. The predicted results validated that the developed constitutive equations can describe high temperature flow behavior well. Furthermore, a modified Zener-Hollomon parameter map of the studied steel was developed to clarify the restoration mechanism based on the constitutive modeling data and microstructural observation.

  18. Non-chaotic behaviour for a class of quadratic jerk equations

    International Nuclear Information System (INIS)

    Malasoma, J.-M.

    2009-01-01

    It is shown that a class constituted by 27 different types of non-linear third-order differential equations of the form x - =j(x,x . ,x), where j is a quadratic polynomial with only one or two terms, and for which ∂j(x,y,z)/∂z is not a constant function of time, does not exhibit chaos. The three-dimensional dynamical systems associated to these equations are not necessarily dissipative everywhere nor conservative everywhere in the corresponding phase spaces. Our results include and improve some recent results obtained by Yang and Chen who only considered the case where j was a homogeneous quadratic polynomial with two terms.

  19. Black hole entropy functions and attractor equations

    International Nuclear Information System (INIS)

    Lopes Cardoso, Gabriel; Wit, Bernard de; Mahapatra, Swapna

    2007-01-01

    The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated in a near-horizon geometry. BPS black holes constitute special solutions of this variational principle, but they can also be derived directly from a different entropy function based on supersymmetry enhancement at the horizon. Both functions are consistent with electric/magnetic duality and for BPS black holes their corresponding OSV-type integrals give identical results at the semi-classical level. We clarify the relation between the two entropy functions and the corresponding attractor equations for N = 2 supergravity theories with higher-derivative couplings in four space-time dimensions. We discuss how non-holomorphic corrections will modify these entropy functions

  20. The Obligations on Government and Society in our Constitutional State to Respect and Support Independent Constitutional Structures

    Directory of Open Access Journals (Sweden)

    LWH Ackermann

    2000-05-01

    Full Text Available Constitutional democracy recognises the ancient democratic principle that government of a country is based on and legitimated by the will and consent of the governed, which is determined by regular multi-party elections based on universal adult franchise. Constitutional democracy limits this principle by subjecting the democratically elected government and the will of the majority subject to a written constitution and the norms embodied in it. Such constitution is enshrined as the supreme law of the country in question. An almost universal feature of modern constitutionalism is a Bill of Rights that forms part of the Constitution and which is designed to protect and enforce individual rights principally, although not exclusively, against the state. Constitutionalism also embodies the principle of the separation of powers. A competent and independent judiciary, with the power to review all legislative and executive conduct that is inconsistent with the Constitution, is regarded, almost universally, as the prime and most effective check on the legislative and executive branches of government. Recently it has come to be realised that for the truly effective and meaningful operation of constitutionalism, other independent state institutions are necessary. The collective objective of these institutions is to ensure that the Constitution in fact produces what it proclaims: that constitutionalism becomes a way of life in all institutional structures. The South African Constitution has clearly designated the judiciary as the prime upholder and enforcer of the Constitution. The Constitution has, however, gone further and makes provision for a variety of independent state institutions whose purpose is to "strengthen constitutional democracy in the Republic". Apart from these state institutions the Constitution also makes provision for other independent bodies designed to play an important checking and balancing role. The regular effective functioning of

  1. An alternative to the TEM (Transformed Eulerian Mean) equations

    Science.gov (United States)

    Gaßmann, Almut

    2013-04-01

    The TEM equations constitute a powerful means to get access to the residual circulation. However, due to their foundation on the wave perspective, they deliver only a zonally averaged picture without access to the three-dimensional structure or the local origins of the residual circulation. Therefore it is worth to investigate whether there are alternatives. The pathway followed here is to perform a transformation of the momentum and the potential temperature equation before taking the zonal mean. This is done by removing the steady state ideal wind solution vid = ?×?B-(?±P) from the equations (? - potential temperature, B - Bernoulli function, P - Ertel's potential vorticity EPV, ?± - density). The advantage of that approach is that the total EPV-flux does no longer contain an explicitly visible 'do-nothing-flux'. This flux, ?? ×?B, does only vanish when averaging on isentropic surfaces, but not on other isosurfaces. Here we find the reason why the conventional zonal mean on isentropes delivers a direct overturning cell on each hemisphere, whereas on other isosurfaces we obtain the typical three-cell structure with Headley, Ferrel, and polar cells. It will be demonstrated and made visible through idealized climate experiments with the ICON-IAP model that the zonal averages of the nonideal wind components vnid = v - vid and wnid = w - wid constitute similar direct overturning cells on non-isentropic surfaces as obtained with the TEM-generated v* and w*. It is also interesting to inspect fields of local nonideal wind components, the very origin of the residual circulation.

  2. Exact Solutions of Generalized Modified Boussinesq, Kuramoto-Sivashinsky, and Camassa-Holm Equations via Double Reduction Theory

    Directory of Open Access Journals (Sweden)

    Zulfiqar Ali

    2013-01-01

    Full Text Available We find exact solutions of the Generalized Modified Boussinesq (GMB equation, the Kuromoto-Sivashinsky (KS equation the and, Camassa-Holm (CH equation by utilizing the double reduction theory related to conserved vectors. The fourth order GMB equation involves the arbitrary function and mixed derivative terms in highest derivative. The partial Noether’s approach yields seven conserved vectors for GMB equation and one conserved for vector KS equation. Due to presence of mixed derivative term the conserved vectors for GMB equation derived by the Noether like theorem do not satisfy the divergence relationship. The extra terms that constitute the trivial part of conserved vectors are adjusted and the resulting conserved vectors satisfy the divergence property. The double reduction theory yields two independent solutions and one reduction for GMB equation and one solution for KS equation. For CH equation two independent solutions are obtained elsewhere by double reduction theory with the help of conserved Vectors.

  3. On the Constitution and the Constitutions in Contemporary Egypt (2011-2014: Analysis and Early Thoughts

    Directory of Open Access Journals (Sweden)

    José Carlos Castañeda Reyes

    2016-01-01

    world witnessed, a testament to what massive popular participation can attain. We believe the Constitution has true potential to guide the forces of change in the country. Therefore, the struggle for “bread, freedom, social justice and human dignity” will continue and is actually continuing in the Nile country via constitutional and non-constitutional means.

  4. A constitutive model for the forces of a magnetic bearing including eddy currents

    Science.gov (United States)

    Taylor, D. L.; Hebbale, K. V.

    1993-01-01

    A multiple magnet bearing can be developed from N individual electromagnets. The constitutive relationships for a single magnet in such a bearing is presented. Analytical expressions are developed for a magnet with poles arranged circumferencially. Maxwell's field equations are used so the model easily includes the effects of induced eddy currents due to the rotation of the journal. Eddy currents must be included in any dynamic model because they are the only speed dependent parameter and may lead to a critical speed for the bearing. The model is applicable to bearings using attraction or repulsion.

  5. The constitutional court review of judicial decisions

    Directory of Open Access Journals (Sweden)

    Stojanović Dragan M.

    2016-01-01

    Full Text Available In principle, the constitutional precepts envisage that judicial decisions are not subject to extrajudicial control. However, in the course of deciding on constitutional complaints, the Constitutional Court reviews the compliance of individual legal acts and actions of state authorities with the Constitution, including court decisions on cases involving the constitutionally guaranteed rights. Hence, in order to eliminate tension or even contradiction between the constitutional precepts, the constitutional review of judicial decisions should be considered as a special form of judicial control, regardless of the fact that the Constitutional Court is not part of the judicial structure in the strict organizational sense. Thus, unlike the cases where the Court is involved in the normative control of the applicable law, in the process of reviewing judicial decision of lower courts the constitutional judiciary acts in the capacity of a specific judicial authority. According to another possible interpretation of the aforementioned constitutional norms, the direct constitutional protection of the constitutionally guaranteed rights may only be pursued in the process of reviewing individual legal acts and actions of state authorities, but not by pursuing a judicial review of court decisions which the Constitutional Court has no jurisdiction to decide upon. Thus, the dogma of judicial independence would prevail over the dogma of direct protection of fundamental rights. The third interpretation of this relationship maintains that that judicial decisions may be subject to control but, in this specific case, the Constitutional Court may only issue an opinion (a statement rather than a binding decision which would cancel the lower court judgment. Then, it is up to the judicial authorities of the lower instance to adjust their judicial decision, which in the opinion of the Constitutional Court constitutes a violation of the constitutionally guaranteed rights

  6. Is w≠-1 evidence for a dynamical dark energy equation of state?

    International Nuclear Information System (INIS)

    Avelino, P. P.; Trindade, A. M. M.; Viana, P. T. P.

    2009-01-01

    Current constraints on the dark energy equation of state parameter, w, are expected to be improved by more than 1 order of magnitude in the next decade. If |w-1| > or approx. 0.01 around the present time, but the dark energy dynamics is sufficiently slow, it is possible that future constraints will rule out a cosmological constant while being consistent with a time-independent equation of state parameter. In this paper, we show that although models with such behavior can be constructed, they do require significant fine-tuning. Therefore, if the observed acceleration of the Universe is induced by a dark energy component, then finding w≠-1 would, on its own, constitute very strong evidence for a dynamical dark energy equation of state.

  7. Constitutive behavior and microstructure evolution of the as-extruded AE21 magnesium alloy during hot compression testing

    Energy Technology Data Exchange (ETDEWEB)

    Wang, L.-X. [Department of Mechanical Engineering, Tsinghua University, Beijing 100084 (China); Fang, G., E-mail: fangg@tsinghua.edu.cn [Department of Mechanical Engineering, Tsinghua University, Beijing 100084 (China); Leeflang, M.A.; Duszczyk, J.; Zhou, J. [Department of Biomechanical Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft (Netherlands)

    2015-02-15

    Highlights: • Constitutive equation of magnesium alloy AE21 for hot deformation is established. • Material processing history affects the activation energy for deformation. • Zener-Hollomon parameter is used to distinguish the shapes of flow stress curves. • Kink band plays an important role in causing a concave shape of the flow curve of AE21. - Abstract: Magnesium alloys containing rare earth elements possess improved corrosion resistance and mechanical properties and therefore have great potential for a wide range of applications including biomedical applications. Hot forming is meant not only for shaping but also for microstructure modification and performance enhancement. It is of great importance to define optimum forming conditions on the basis of a fundamental understanding of the response of magnesium alloys to deformation. The present study aimed at characterizing the hot deformation behavior of the as-extruded AE21 magnesium alloy by performing isothermal compression tests over a temperature range of 350-480 °C and a strain rate range of 0.001-10 s{sup -1}. Flow stress data obtained were intended for establishing a constitutive equation, which would be indispensable for the prediction of the response of the material to hot deformation, for example, by means of numerical simulation. The true stress-strain curves obtained from the experiments were analyzed, considering different mechanisms of microstructure evolution operating during compression testing at different stages. The Sellar and Tegart model was used to establish the constitutive equation of the alloy during the steady-state deformation. The differences in activation energy value between the present as-extruded magnesium alloy and other wrought magnesium alloys were found and attributed to materials processing history. The Zener-Hollomon parameter was used to correlate the deformation condition with the response of the material to deformation, reflected in the shape of the true stress

  8. A stochastic model of multiple scattering of charged particles: process, transport equation and solutions

    International Nuclear Information System (INIS)

    Papiez, L.; Moskvin, V.; Tulovsky, V.

    2001-01-01

    The process of angular-spatial evolution of multiple scattering of charged particles can be described by a special case of Boltzmann integro-differential equation called Lewis equation. The underlying stochastic process for this evolution is the compound Poisson process on the surface of the unit sphere. The significant portion of events that constitute compound Poisson process that describes multiple scattering have diffusional character. This property allows to analyze the process of angular-spatial evolution of multiple scattering of charged particles as combination of soft and hard collision processes and compute appropriately its transition densities. These computations provide a method of the approximate solution to the Lewis equation. (orig.)

  9. Modified two-fluid model for the two-group interfacial area transport equation

    International Nuclear Information System (INIS)

    Sun Xiaodong; Ishii, Mamoru; Kelly, Joseph M.

    2003-01-01

    This paper presents a modified two-fluid model that is ready to be applied in the approach of the two-group interfacial area transport equation. The two-group interfacial area transport equation was developed to provide a mechanistic constitutive relation for the interfacial area concentration in the two-fluid model. In the two-group transport equation, bubbles are categorized into two groups: spherical/distorted bubbles as Group 1 while cap/slug/churn-turbulent bubbles as Group 2. Therefore, this transport equation can be employed in the flow regimes spanning from bubbly, cap bubbly, slug to churn-turbulent flows. However, the introduction of the two groups of bubbles requires two gas velocity fields. Yet it is not practical to solve two momentum equations for the gas phase alone. In the current modified two-fluid model, a simplified approach is proposed. The momentum equation for the averaged velocity of both Group-1 and Group-2 bubbles is retained. By doing so, the velocity difference between Group-1 and Group-2 bubbles needs to be determined. This may be made either based on simplified momentum equations for both Group-1 and Group-2 bubbles or by a modified drift-flux model

  10. Relativistic dissipative hydrodynamic equations at the second order for multi-component systems with multiple conserved currents

    International Nuclear Information System (INIS)

    Monnai, Akihiko; Hirano, Tetsufumi

    2010-01-01

    We derive the second order hydrodynamic equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel-Stewart theory and Grad's moment method. We find that, in addition to the conventional moment equations, extra moment equations associated with conserved currents should be introduced to consistently match the number of equations with that of unknowns and to satisfy the Onsager reciprocal relations. Consistent expansion of the entropy current leads to constitutive equations which involve the terms not appearing in the original Israel-Stewart theory even in the single component limit. We also find several terms which exhibit thermal diffusion such as Soret and Dufour effects. We finally compare our results with those of other existing formalisms.

  11. ECHR and national constitutional courts

    OpenAIRE

    Nastić, Maja

    2015-01-01

    Comprising fundamental rights and freedoms and establishing the effective control system, the European Convention on Human Rights (ECHR) encroaches upon the area that is traditional reserved for constitutional law. Although built on the doctrine reserved for international treaty law, the Convention goes beyond the traditional boundaries that exist between international and constitutional law. It has gradually infiltrated into the national legal systems. Constitutional courts have had the cruc...

  12. The U.S. Constitution in Today's World.

    Science.gov (United States)

    Patrick, John J.

    A comparative study of constitutions and governments in world history is a key to deeper understanding of the U.S. Constitution. While many countries have constitutions, the United States is among a minority of nations in today's world that has a constitutional government. Many nations' constitutions truly guarantee few protections of individual…

  13. Transitional processes: Territorial organization of authorities and the future constitution of Serbia comparative analysis of five constitutional models

    Directory of Open Access Journals (Sweden)

    Despotović Ljubiša M.

    2004-01-01

    Full Text Available In this paper the authors give a comparative analysis of territorial organization of authorities in five constitutional models for Serbia. The paper consists of the following chapters: Introduction, Outline of the Constitution of Kingdom of Serbia, Basic Principles of the New Constitution of Serbia - DSS, Outline of Constitution of Republic of Serbia - DS Constitutional Solutions for Serbia - BCLJP, Project of Constitution of Republic of Serbia - Forum iuris, Conclusion. The analysis of territorial organization of authorities has been seen in the context of the processes of transition and archiving the important principles of civil society and civil autonomies.

  14. Constitution and religiosity of/in the constitutional order of the National Socialist Empire

    Directory of Open Access Journals (Sweden)

    Velez, Pedro

    2017-05-01

    Full Text Available In this article, we will analyse the National Socialist regime as a politico-constitutional reality. We will do it from a new way of looking at politico-constitutional phenomena, interpreting them as registered in a religious grounding. It seeks to show that the National Socialist regime was characterised by having identified the political community – a racially interpreted and raised community to the Absolute – with an empirical historic personality regarded as eminently communitarian. It suggests that the regime constitutes a sui generis case, either in a context of regimes conventionally classified as "right-wing authoritarian and/or totalitarian" or in a larger context of contemporary politics.

  15. Fluctuating Navier-Stokes equations for inelastic hard spheres or disks.

    Science.gov (United States)

    Brey, J Javier; Maynar, P; de Soria, M I García

    2011-04-01

    Starting from the fluctuating Boltzmann equation for smooth inelastic hard spheres or disks, closed equations for the fluctuating hydrodynamic fields to Navier-Stokes order are derived. This requires deriving constitutive relations for both the fluctuating fluxes and the correlations of the random forces. The former are identified as having the same form as the macroscopic average fluxes and involving the same transport coefficients. On the other hand, the random force terms exhibit two peculiarities as compared with their elastic limit for molecular systems. First, they are not white but have some finite relaxation time. Second, their amplitude is not determined by the macroscopic transport coefficients but involves new coefficients. ©2011 American Physical Society

  16. Constitutive Behavior and Processing Map of T2 Pure Copper Deformed from 293 to 1073 K

    Science.gov (United States)

    Liu, Ying; Xiong, Wei; Yang, Qing; Zeng, Ji-Wei; Zhu, Wen; Sunkulp, Goel

    2018-02-01

    The deformation behavior of T2 pure copper compressed from 293 to 1073 K with strain rates from 0.01 to 10 s-1 was investigated. The constitutive equations were established by the Arrhenius constitutive model, which can be expressed as a piecewise function of temperature with two sections, in the ranges 293-723 K and 723-1073 K. The processing maps were established according to the dynamic material model for strains of 0.2, 0.4, 0.6, and 0.8, and the optimal processing parameters of T2 copper were determined accordingly. In order to obtain a better understanding of the deformation behavior, the microstructures of the compressed samples were studied by electron back-scattered diffraction. The grains tend to be more refined with decreases in temperature and increases in strain rate.

  17. CONSTITUTIONAL INTERPRETATION OF ROMANIA: POST MODERNITY

    Directory of Open Access Journals (Sweden)

    P. RATHNASWAMY

    2017-06-01

    Full Text Available Austria had in 1920 Constitutional Court followed by Italy in 1946, Germany in 1949, Romania in 1989, South Africa in 1991, and Ethiopia in 1995. Each Constitution has its provisions on the constitutional interpretation. Romania has its own provisions and it is considered here its legality and the best possible measures and recommendations for future. Judicial power is vested in judiciary to interpret constitution, laws, and actions of other organs of government. Judicial review is the function resulted upon judicial power. Political body joins through the appointment of its members in the judicial review and it limits the independence of judiciary. It also reduces the values of separation of powers. Challenges and opportunities of growth and development do influence the spirit of separation of powers and judicial independence. The principle of inherent judicial power in judiciary inducts upon the constitutional interpretation. Thus, the principles of constitutional interpretation are varying in Romania and other similar constitutional courts of Germany, Ethiopia, and Italy but not in South Africa.

  18. Economic Reforms and Constitutional Transition

    OpenAIRE

    Jeffrey D. Sachs; Wing Thye Woo; Xiaokai Yang

    2000-01-01

    This paper investigates the relationship between economic reforms and constitutional transition, which has been neglected by many transition economists. It is argued that assessment of reform performance might be very misleading if it is not recognized that economic reforms are just a small part of large scale of constitutional transition. Rivalry and competition between states and between political forces within each country are the driving forces for constitutional transition. We use Russia...

  19. The constitutional momentum of European contract law (II): The DCFR and the European constitutional order

    OpenAIRE

    Mak, C.

    2009-01-01

    This paper analyses the potential impact of the recently published Draft Common Frame of Reference for European contract law (DCFR) on the European constitutional process. Looking at the combination of characteristics of codification and aspects of constitutionalism reflected in the DCFR, it is submitted that the further harmonisation of European contract law may contribute to the definition of the European constitutional order both on the institutional level (regarding the forms in which Eur...

  20. Constitutional relevance of atomic energy law

    International Nuclear Information System (INIS)

    Lettow, S.

    1980-01-01

    In a decision publicized on December 20, 1979 the German Federal Constitutional Court rejected a claim of unconstitutionality in connection with the licensing procedure of the Muelheim-Kaerlich Nuclear Power Station currently under construction. This constitutes confirmation, by the 1st Department of the Court, of a decision in 1978 by the 2nd Department about the Kalkar fast breeder power plant, in which the peaceful utilization of nuclear energy had been found to be constitutional. However, the new decision by the Federal Constitutional Court particularly emphasizes the constitutional relevance of the rules of procedure under the Atomic Energy Act and their function with respect to the protection of civil rights. (orig.) [de

  1. Constitutional aneuploidy and cancer predisposition.

    Science.gov (United States)

    Ganmore, Ithamar; Smooha, Gil; Izraeli, Shai

    2009-04-15

    Constitutional aneuploidies are rare syndromes associated with multiple developmental abnormalities and the alterations in the risk for specific cancers. Acquired somatic chromosomal aneuploidies are the most common genetic aberrations in sporadic cancers. Thus studies of these rare constitutional aneuploidy syndromes are important not only for patient counseling and clinical management, but also for deciphering the mechanisms by which chromosomal aneuploidy affect cancer initiation and progression. Here we review the major constitutional aneuploidy syndromes and suggest some general mechanisms for the associated cancer predisposition.

  2. Generalized nonlinear Proca equation and its free-particle solutions

    Energy Technology Data Exchange (ETDEWEB)

    Nobre, F.D. [Centro Brasileiro de Pesquisas Fisicas and National Institute of Science and Technology for Complex Systems, Rio de Janeiro, RJ (Brazil); Plastino, A.R. [Universidad Nacional Buenos Aires-Noreoeste, CeBio y Secretaria de Investigacion, Junin (Argentina)

    2016-06-15

    We introduce a nonlinear extension of Proca's field theory for massive vector (spin 1) bosons. The associated relativistic nonlinear wave equation is related to recently advanced nonlinear extensions of the Schroedinger, Dirac, and Klein-Gordon equations inspired on the non-extensive generalized thermostatistics. This is a theoretical framework that has been applied in recent years to several problems in nuclear and particle physics, gravitational physics, and quantum field theory. The nonlinear Proca equation investigated here has a power-law nonlinearity characterized by a real parameter q (formally corresponding to the Tsallis entropic parameter) in such a way that the standard linear Proca wave equation is recovered in the limit q → 1. We derive the nonlinear Proca equation from a Lagrangian, which, besides the usual vectorial field Ψ{sup μ}(vector x,t), involves an additional field Φ{sup μ}(vector x,t). We obtain exact time-dependent soliton-like solutions for these fields having the form of a q-plane wave, and we show that both field equations lead to the relativistic energy-momentum relation E{sup 2} = p{sup 2}c{sup 2} + m{sup 2}c{sup 4} for all values of q. This suggests that the present nonlinear theory constitutes a new field theoretical representation of particle dynamics. In the limit of massless particles the present q-generalized Proca theory reduces to Maxwell electromagnetism, and the q-plane waves yield localized, transverse solutions of Maxwell equations. Physical consequences and possible applications are discussed. (orig.)

  3. [Comparative research into the process of forming the theory of constitution in ancient western medicine and that of four trigrams constitution in Korean medicine and contents of two theories of constitution].

    Science.gov (United States)

    Park, Joo-Hong

    2009-06-01

    After conducting comparative research into the process of forming the Theory of Constitution in Ancient Western Medicine and that of Four Trigrams Constitution(Sasang Constitution) in Korean Medicine and contents of two Theories of Constitution in terms of medical history, both theories were found to be formed by an interaction between philosophy and medicine, followed by a combination of the two, on a philosophical basis. The Theory of Constitution in Ancient Western Medicine began with the Theory of Four Elements presented by Empedocles, followed by the Theory of Four Humors presented by Hippocrates and the Theory of Four Temperaments by Galenos, forming and developing the Theory of Constitution. After the Middle Ages, there was no significant advance in the Theory of Constitution by modern times ; however, it developed into the theory of constitution type of Kretschmer and others after the 19th century and into the scientific theory of constitution based on genetics presented by Garrod and others early in the 20th century. The Theory of Four Trigrams Constitution began with the Theory of Constitution in Huangdi Neijing, followed by developments and influences of existing medicine called beginning, restoration, and revival periods and DongeuisoosebowonSaSangChoBonGwon based on the original philosophy of Four Trigrams presented by Lee Je-ma, which is found in GyeokChiGo, DongMuYuGo and so on, ultimately forming and developing into the Theory of Four Trigrams Constitution in Dongeuisoosebowon. Recently, a lot of research is being conducted into making it objective in order to achieve reproducibility in diagnosis and so forth of Four Trigrams Constitution.

  4. Constitutional aneuploidy and cancer predisposition†

    Science.gov (United States)

    Ganmore, Ithamar; Smooha, Gil; Izraeli, Shai

    2009-01-01

    Constitutional aneuploidies are rare syndromes associated with multiple developmental abnormalities and the alterations in the risk for specific cancers. Acquired somatic chromosomal aneuploidies are the most common genetic aberrations in sporadic cancers. Thus studies of these rare constitutional aneuploidy syndromes are important not only for patient counseling and clinical management, but also for deciphering the mechanisms by which chromosomal aneuploidy affect cancer initiation and progression. Here we review the major constitutional aneuploidy syndromes and suggest some general mechanisms for the associated cancer predisposition. PMID:19297405

  5. Culture (and religion in constitutional adjudication

    Directory of Open Access Journals (Sweden)

    C Rautenbach

    2003-10-01

    Full Text Available The faculty of law of the Potchefstroom University for Christian Higher Education in corroboration with the Konrad-Adenauer-Stifttung embarked on a study on Politics, Socio-Economic Issues and Culture in Constitutional Adjudication. The aim of the project is twofold. The first aim is to analyse the influence of political, socio-economic and cultural considerations on the constitutional court’s interpretation and application of the Bill of Rights. The second aim is to develop practical guidelines (based on the findings during the analysing process for South African courts confronted with issues of a political, socio-economic and cultural nature. This article is concerned with initiating discussions of the decisions of the constitutional court with regard to cultural and religious rights.Before we can explore the role of political, socio-economic and cultural (and religious rights in the decisions of the constitutional court it is important to discuss a few preliminary issues. In this article the meaning of culture and religion within the South African context receives some attention. Secondly, some preliminary comments regarding constitutional protection of culturally and religiously based rights will be made.We are well aware that this is a daunting task, not only in view of the seemingly abysmal gap between the applicable constitutional rights and values enshrined in the 1996 Constitution that, in some instances over centuries, brought about customs and practices within “traditional” communities which, seemingly, infringe on certain constitutional values and rights.

  6. Constitutive Models

    DEFF Research Database (Denmark)

    Sales-Cruz, Mauricio; Piccolo, Chiara; Heitzig, Martina

    2011-01-01

    covered, illustrating several models such as the Wilson equation and NRTL equation, along with their solution strategies. A section shows how to use experimental data to regress the property model parameters using a least squares approach. A full model analysis is applied in each example that discusses...... the degrees of freedom, dependent and independent variables and solution strategy. Vapour-liquid and solid-liquid equilibrium is covered, and applications to droplet evaporation and kinetic models are given....

  7. VALUATION IN THE CONSTITUTIONAL ERA

    African Journals Online (AJOL)

    Brimer

    16 ..... stem from the pre-constitutional era, and the constitutional framework and its legitimate reform efforts. A decision on what is just ...... Carroll L Alice's Adventures in Wonderland (Digital Scanning Scituate MA. 2007). Dagan 1999 Va L Rev.

  8. Will learning to solve one-step equations pose a challenge to 8th grade students?

    Science.gov (United States)

    Ngu, Bing Hiong; Phan, Huy P.

    2017-08-01

    Assimilating multiple interactive elements simultaneously in working memory to allow understanding to occur, while solving an equation, would impose a high cognitive load. Element interactivity arises from the interaction between elements within and across operational and relational lines. Moreover, operating with special features (e.g. negative pronumeral) poses additional challenge to master equation solving skills. In an experiment, 41 8th grade students (girls = 16, boys = 25) sat for a pre-test, attended a session about equation solving, completed an acquisition phase which constituted the main intervention and were tested again in a post-test. The results showed that at post-test, students performed better on one-step equations tapping low rather than high element interactivity knowledge. In addition, students performed better on those one-step equations that contained no special features. Thus, both the degree of element interactivity and the operation with special features affect the challenge posed to 8th grade students on learning how to solve one-step equations.

  9. A survey on constitutional justice

    Directory of Open Access Journals (Sweden)

    Kheirollah Parvin

    2015-05-01

    Full Text Available The idea of supervising the conformity of statutory law with constitutional law, is due to necessities rooted in two essential principles: the supremacy of constitution and the hierarchy of the law. Constitution as the supreme law in the sense of status and legal value , is placed at the top of the legal pyramid of every political system and therefore requires a special organization and discipline that will act as the sanction of the principles and the main content incorporated in this legal instrument. this special organization and discipline known as Constitutional justice in legal Literature now and have studing in two main patterns. Firs pattern based on Supervision of courts on rules and other pattern is Apply by Emphasis on role of Political Institutions in Supervision on rules. This two patterns have common purpose but have different backgrounds and methods.

  10. The Dirichlet problem of a conformable advection-diffusion equation

    Directory of Open Access Journals (Sweden)

    Avci Derya

    2017-01-01

    Full Text Available The fractional advection-diffusion equations are obtained from a fractional power law for the matter flux. Diffusion processes in special types of porous media which has fractal geometry can be modelled accurately by using these equations. However, the existing nonlocal fractional derivatives seem complicated and also lose some basic properties satisfied by usual derivatives. For these reasons, local fractional calculus has recently been emerged to simplify the complexities of fractional models defined by nonlocal fractional operators. In this work, the conformable, a local, well-behaved and limit-based definition, is used to obtain a local generalized form of advection-diffusion equation. In addition, this study is devoted to give a local generalized description to the combination of diffusive flux governed by Fick’s law and the advection flux associated with the velocity field. As a result, the constitutive conformable advection-diffusion equation can be easily achieved. A Dirichlet problem for conformable advection-diffusion equation is derived by applying fractional Laplace transform with respect to time t and finite sin-Fourier transform with respect to spatial coordinate x. Two illustrative examples are presented to show the behaviours of this new local generalized model. The dependence of the solution on the fractional order of conformable derivative and the changing values of problem parameters are validated using graphics held by MATLcodes.

  11. How do the Constitutional Courts decide?

    Directory of Open Access Journals (Sweden)

    Pasquale Pasquino

    2016-12-01

    Full Text Available The purpose of this article is to explore the mode of production of judicial sentences drafted by constitutional courts in Europe. The natural object of study of the constitutional theory is the analysis of this final product of judicial creation of Law by Constitutional Courts. However, the doctrine has not given sufficient attention –from a comparative law perspective– to the mechanisms and procedures that lead to the decisions of these institutions. Thus, this document will classify the different types of decision-making processes in the courts, analyzing the stages that make up the «mode of production», from the study of the decisions of the Supreme Court of the United States, the Constitutional Council of the French Republic, The Constitutional Court of Italy and the Federal Constitutional Court of Germany. At the end of the paper, some conclusions are made about the period of the magistrates, their party affiliation, the temporary restrictions of deliberation and institutional factors such as the number of attendees or the personalization of its members.

  12. Constitutionalism and Development in Nigeria: The 1999 Constitution

    African Journals Online (AJOL)

    Fr. Ikenga

    the 3 arms of government the Executive, Legislative, Judiciary, Public Service and Marketing .... Rotation principle of a presidency position in Nigeria which will cultivate a sense of ... the issues survived inclusion in the 1999 Constitution of the Federal Republic of Nigeria. 13. S. 2 of Decree No. ..... Oxford, 5th Edition p.245.

  13. Piecewise linear emulator of the nonlinear Schroedinger equation and the resulting analytic solutions for Bose-Einstein condensates

    International Nuclear Information System (INIS)

    Theodorakis, Stavros

    2003-01-01

    We emulate the cubic term Ψ 3 in the nonlinear Schroedinger equation by a piecewise linear term, thus reducing the problem to a set of uncoupled linear inhomogeneous differential equations. The resulting analytic expressions constitute an excellent approximation to the exact solutions, as is explicitly shown in the case of the kink, the vortex, and a δ function trap. Such a piecewise linear emulation can be used for any differential equation where the only nonlinearity is a Ψ 3 one. In particular, it can be used for the nonlinear Schroedinger equation in the presence of harmonic traps, giving analytic Bose-Einstein condensate solutions that reproduce very accurately the numerically calculated ones in one, two, and three dimensions

  14. Solution of Schroedinger equation for particle moving in two-well potential

    International Nuclear Information System (INIS)

    Ivanova, O.I.; Sabirov, R.Kh.

    2000-01-01

    The solution of the Schroedinger equation for the particle, moving in the two-well potential is given on the basis of a single variational method. This potential constitutes the sum of the harmonic potential and the Gaussian addition. The analytical expression for the wave function of the particle basic state is obtained. The dependence of the obtained solutions on the potential barrier height and width is studied. It is shown that the better separation of the potential barrier provides for higher accuracy of the calculations. The values of the two-well potential, whereby good agreement between the calculations and exact numerical solution of the Schroedinger equation may be expected, are presented [ru

  15. Stochastic models with power-law tails the equation X = AX + B

    CERN Document Server

    Buraczewski, Dariusz; Mikosch, Thomas

    2016-01-01

    In this monograph the authors give a systematic approach to the probabilistic properties of the fixed point equation X=AX+B. A probabilistic study of the stochastic recurrence equation X_t=A_tX_{t-1}+B_t for real- and matrix-valued random variables A_t, where (A_t,B_t) constitute an iid sequence, is provided. The classical theory for these equations, including the existence and uniqueness of a stationary solution, the tail behavior with special emphasis on power law behavior, moments and support, is presented. The authors collect recent asymptotic results on extremes, point processes, partial sums (central limit theory with special emphasis on infinite variance stable limit theory), large deviations, in the univariate and multivariate cases, and they further touch on the related topics of smoothing transforms, regularly varying sequences and random iterative systems. The text gives an introduction to the Kesten-Goldie theory for stochastic recurrence equations of the type X_t=A_tX_{t-1}+B_t. It provides the c...

  16. La légitimité de la Constitution dans la doctrine constitutionnelle japonaise The Legality of the Constitution in the Japanese constitutional Doctrine

    Directory of Open Access Journals (Sweden)

    Simon Serverin

    2010-07-01

    Full Text Available La Constitution japonaise, promulguée en novembre 1946 et entrée en vigueur en mai 1947, pose à la théorie constitutionnelle un certain nombre de problèmes qui ne sont toujours pas résolus. Adoptée sous occupation américaine, rédigée par les services du GHQ dirigés par le général MacArthur, la Constitution a en outre été promulguée comme une simple révision de la Charte impériale de 1889, dite Constitution de Meiji, alors que par les principes démocratiques nouveaux qu’elle instaurait, elle p...

  17. Constitutive Modelling in Geomechanics Introduction

    CERN Document Server

    Puzrin, Alexander M

    2012-01-01

    The purpose of this book is to bridge the gap between the traditional Geomechanics and Numerical Geotechnical Modelling with applications in science and practice. Geomechanics is rarely taught within the rigorous context of Continuum Mechanics and Thermodynamics, while when it comes to Numerical Modelling, commercially available finite elements or finite differences software utilize constitutive relationships within the rigorous framework. As a result, young scientists and engineers have to learn the challenging subject of constitutive modelling from a program manual and often end up with using unrealistic models which violate the Laws of Thermodynamics.  The book is introductory, by no means does it claim any completeness and state of the art in such a dynamically developing field as numerical and constitutive modelling of soils. The author gives basic understanding of conventional continuum mechanics approaches to constitutive modelling, which can serve as a foundation for exploring more advanced theories....

  18. Post-Revolution Constitutionalism: The Impact of Drafting Processes on the Constitutional Documents in Tunisia and Egypt

    OpenAIRE

    El-Sayed, Ahmed

    2014-01-01

    This paper seeks to address the constitutional paths that followed the Arab awakening in both Tunisia and Egypt. The Tunisian constitutional process, despite some tensions, was largely peaceful and consensual. On the other hand, the process in Egypt of establishing a new constitutional arrangement had been tumultuous with repercussions that are likely to linger on for a protracted period of time. Therefore, despite apparent resemblance in socio-political actors in both countries, (political I...

  19. Radioactive waste disposal and constitution

    International Nuclear Information System (INIS)

    Stober, R.

    1983-01-01

    The radioactive waste disposal has many dimensions with regard to the constitutional law. The central problem is the corret delimitation between adequate governmental precautions against risks and or the permitted risk which the state can impose on the citizen, and the illegal danger which nobody has to accept. The solution requires to consider all aspects which are relevant to the constitutional law. Therefore, the following analysis deals not only with the constitutional risks and the risks of the nuclear energy, but also with the liberal, overall-economic, social, legal, and democratic aspects of radioactive waste disposal. (HSCH) [de

  20. RECONSTRUCTION THE AUTHORITY OF CONSTITUTIONAL COURT ON IMPEACHMENT PROCESS OF PRESIDENT AND/OR VICE PRESIDENT IN INDONESIAN CONSTITUTIONAL SYSTEM

    Directory of Open Access Journals (Sweden)

    Hezron Sabar Rotua Tinambunan

    2016-06-01

    Full Text Available In the process of impeachment, Constitutional Court has the obligation to give its judgement to House of Representatives’s opinion regarding allegation of violation by the President and/or Vice President. Constitutional Court checks and judges House of Representatives’s opinion on whether or not the President and/or Vice President works fulfill Article 7A of Constitution of Republic Indonesia 1945 (UUD NRI 1945. The inspection done by Constitutional Court is the judicial process whose decision is in the form of justisil. The result of this impeachment process heavily depends on the judgement of People's Consultative Assembly in its plenary meeting which is also a politics forum, where President and/or Vice President could be dismissed or not. Constitutional Court’s judgement does not apply to People's Consultative Assembly, hence, the difference of Constitutional Court and People's Consultative Assembly’s judgement in plenary meeting that is very political by its nature is very likely to happen. Involvement of Constitutional Court in the procss of impeachment is, of course, different in each country. It depends on governance system in that particular country, it also relies on how much authority that is given by Constitution to Constitutional Court in the process of impeachment itself.

  1. Differential Equations Compatible with KZ Equations

    International Nuclear Information System (INIS)

    Felder, G.; Markov, Y.; Tarasov, V.; Varchenko, A.

    2000-01-01

    We define a system of 'dynamical' differential equations compatible with the KZ differential equations. The KZ differential equations are associated to a complex simple Lie algebra g. These are equations on a function of n complex variables z i taking values in the tensor product of n finite dimensional g-modules. The KZ equations depend on the 'dual' variable in the Cartan subalgebra of g. The dynamical differential equations are differential equations with respect to the dual variable. We prove that the standard hypergeometric solutions of the KZ equations also satisfy the dynamical equations. As an application we give a new determinant formula for the coordinates of a basis of hypergeometric solutions

  2. The constitutional momentum of European contract law (II): The DCFR and the European constitutional order

    NARCIS (Netherlands)

    Mak, C.

    2009-01-01

    This paper analyses the potential impact of the recently published Draft Common Frame of Reference for European contract law (DCFR) on the European constitutional process. Looking at the combination of characteristics of codification and aspects of constitutionalism reflected in the DCFR, it is

  3. The constitutional view

    Directory of Open Access Journals (Sweden)

    Roberto Horácio Sá Pereira

    2016-05-01

    Full Text Available http://dx.doi.org/10.5007/1808-1711.2016v20n2p165   This brief paper is devoted to criticizing the widespread reading of Kant’s first Critique, according to which reference to subject-independent objects is “constituted” by higherorder cognitive abilities (concepts. Let us call this the “constitutional view”. In this paper, I argue that the constitutional reading confuses the un-Kantian problem of how we come to represent objects (which I call the intentionality thesis, with the quite different problem of how we cognize (erkennen (which I call the “cognition thesis” that we do represent objects, that is, things that exist independently of the subject.

  4. Essential Medicines in National Constitutions: Progress Since 2008.

    Science.gov (United States)

    Katrina Perehudoff, S; Toebes, Brigit; Hogerzeil, Hans

    2016-06-01

    A constitutional guarantee of access to essential medicines has been identified as an important indicator of government commitment to the progressive realization of the right to the highest attainable standard of health. The objective of this study was to evaluate provisions on access to essential medicines in national constitutions, to identify comprehensive examples of constitutional text on medicines that can be used as a model for other countries, and to evaluate the evolution of constitutional medicines-related rights since 2008. Relevant articles were selected from an inventory of constitutional texts from WHO member states. References to states' legal obligations under international human rights law were evaluated. Twenty-two constitutions worldwide now oblige governments to protect and/or to fulfill accessibility of, availability of, and/or quality of medicines. Since 2008, state responsibilities to fulfill access to essential medicines have expanded in five constitutions, been maintained in four constitutions, and have regressed in one constitution. Government commitments to essential medicines are an important foundation of health system equity and are included increasingly in state constitutions.

  5. Unanimous Constitutional Consent and the Immigration Problem

    OpenAIRE

    Josten, Stefan D.; Zimmermann, Klaus W.

    2004-01-01

    This paper utilizes the cross-cutting cleavages approach to evaluate the probability of a unanimous constitutional consent and, based on these results, discusses the implications of immigration on an existing constitutional consent. It is shown that previous conclusions of beneficial effects stemming from a multitude of political dimensions for a unanimous constitutional consent crucially depend on the assumption of an extreme mode of intrapersonal compensation of constitutional majority and ...

  6. Analysis on constitution of American college republicans

    Directory of Open Access Journals (Sweden)

    Minghua Su

    2017-02-01

    Full Text Available This paper, based on internet survey and comparative analysis, according to the firsthand materials, comprehensively and systematically probes the formation of the constitution form and structure, and analyzes its contents of Constitution of American College Republicans among 15 colleges respectively, which includes the illustration of constitution, membership, personnel, meeting, financial amendment, etc. Finally, this essay analyzes the characteristics of constitution of college republicans and its advantages.

  7. Crushed Salt Constitutive Model

    International Nuclear Information System (INIS)

    Callahan, G.D.

    1999-01-01

    The constitutive model used to describe the deformation of crushed salt is presented in this report. Two mechanisms -- dislocation creep and grain boundary diffusional pressure solution -- are combined to form the basis for the constitutive model governing the deformation of crushed salt. The constitutive model is generalized to represent three-dimensional states of stress. Upon complete consolidation, the crushed-salt model reproduces the Multimechanism Deformation (M-D) model typically used for the Waste Isolation Pilot Plant (WIPP) host geological formation salt. New shear consolidation tests are combined with an existing database that includes hydrostatic consolidation and shear consolidation tests conducted on WIPP and southeastern New Mexico salt. Nonlinear least-squares model fitting to the database produced two sets of material parameter values for the model -- one for the shear consolidation tests and one for a combination of the shear and hydrostatic consolidation tests. Using the parameter values determined from the fitted database, the constitutive model is validated against constant strain-rate tests. Shaft seal problems are analyzed to demonstrate model-predicted consolidation of the shaft seal crushed-salt component. Based on the fitting statistics, the ability of the model to predict the test data, and the ability of the model to predict load paths and test data outside of the fitted database, the model appears to capture the creep consolidation behavior of crushed salt reasonably well

  8. A tensor formulation of the equation of transfer for spherically symmetric flows. [radiative transfer in seven dimensional Riemannian space

    Science.gov (United States)

    Haisch, B. M.

    1976-01-01

    A tensor formulation of the equation of radiative transfer is derived in a seven-dimensional Riemannian space such that the resulting equation constitutes a divergence in any coordinate system. After being transformed to a spherically symmetric comoving coordinate system, the transfer equation contains partial derivatives in angle and frequency, as well as optical depth due to the effects of aberration and the Doppler shift. However, by virtue of the divergence form of this equation, the divergence theorem may be applied to yield a numerical differencing scheme which is expected to be stable and to conserve luminosity. It is shown that the equation of transfer derived by this method in a Lagrangian coordinate system may be reduced to that given by Castor (1972), although it is, of course, desirable to leave the equation in divergence form.

  9. Thermodynamic constitutive model for load-biased thermal cycling test of shape memory alloy

    International Nuclear Information System (INIS)

    Young, Sung; Nam, Tae-Hyun

    2013-01-01

    Graphical abstract: - Highlights: • Thermodynamic calculation model for martensitic transformation of shape memory alloy was proposed. • Evolution of the self-accommodation was considered independently by a rate-dependent kinetic equation. • Finite element calculation was conducted for B2–B19′ transformation of Ti–44.5Ni–5Cu–0.5 V (at.%). • Three-dimensional numerical results predict the macroscopic strain under bias loading accurately. - Abstract: This paper presents a three-dimensional calculation model for martensitic phase transformation of shape memory alloy. Constitutive model based on thermodynamic theory was provided. The average behavior was accounted for by considering the volume fraction of each martensitic variant in the material. Evolution of the volume fraction of each variant was determined by a rate-dependent kinetic equation. We assumed that nucleation rate is faster for the self-accommodation than for the stress-induced variants. Three-dimensional finite element analysis was conducted and the results were compared with the experimental data of Ti–44.5Ni–5Cu–0.5 V (at.%) alloy under bias loading

  10. The Constitution of the Republic of Estonia

    Index Scriptorium Estoniae

    2009-01-01

    Sisaldab ka: The Constitution of the Republic of Estonia Amendment Act. The Constitution of the Republic of Estonia Implementation Act. Act to Amend the Constitution of the Republic of Estonia for Election of Local Government Councils for Term of Four Years

  11. CHAPTER FOUR LİBERTY AND TURKISH CONSTITUTIONS:

    OpenAIRE

    FENDOĞLU, Doç.Dr.Hasan Tahsin

    2002-01-01

    CHAPTER FOUR LIBERTY AND TURKISH CONSTITUTIONS: Doç.Dr.Hasan Tahsin FENDOĞLU ABSTRACT: Turkish Constitution of 1982 is the first and only Turkish Constitution that has a main purpose on strengthening the political power not the liberty or democr...

  12. Transport Equations for CAD Modeling of Al(x)Ga(1-x)N/GaN HEMTs

    Science.gov (United States)

    Freeman, Jon C.

    2003-01-01

    BEMTs formed from Al(x)Ga(1-x)N/GaN heterostructures are being investigated for high RF power and efficiency around the world by many groups, both academic and industrial. In these devices, the 2DEG formation is dominated by both spontaneous and piezoelectric polarization fields, with each component having nearly the same order of magnitude. The piezoelectric portion is induced by the mechanical strain in the structure, and to analyze these devices, one must incorporate the stress/strain relationships, along with the standard semiconductor transport equations. These equations for Wurtzite GaN are not easily found in the open literature, hence this paper summarizes them, along with the constitutive equations for piezoelectric materials. The equations are cast into the format for the Wurtzite crystal class, which is the most common way GaN is grown epitaxially.

  13. Ultima Ratio as a Constitutional Principle

    Directory of Open Access Journals (Sweden)

    Kaarlo Tuori

    2013-01-01

    Full Text Available The paper argues the criminal law notion of ultima ratio is an instance of a broader constitutional law principle of proportionality. However, ultima ratio is not the only principle relevant in a constitutional assessment of criminalization. The role of ultima ratio is to impose limitations on criminalization. But constitutional doctrines also exist which call for criminalization and might even be seen as establishing a criminalization obligation. The paper examines three constitutional counter weights to ultima ratio. The first of these is discussed in the context of state constitutions. This is the cluster of the interrelated constitutional doctrines of the horizontal effect of fundamental rights and the protective duty of the state, as well as the understanding of collective security as a basic right. These doctrines are analysed in the light of the praxis of the German Constitutional Court and the Finnish Constitutional Law Committee. The two other constitutional counterweights are discussed at the level of the transnational, European constitution. These are the principles of precaution and effectiveness. Este artículo defiende que el concepto de ultima ratio es una instancia más amplia del principio de proporcionalidad dentro del derecho constitucional. Sin embargo, el ultima ratio no es el único principio relevante en la valoración constitucional de la criminalización. El papel del ultima ratio es imponer límites a la criminalización. Pero también existen doctrinas constitucionales que exigen la criminalización e incluso dan pie a entender que obligan a establecer una pena. El documento examina tres contrapesos constitucionales al ultima ratio. En primer lugar, se analiza en el contexto de las constituciones estatales. Este es el conjunto de las doctrinas constitucionales interrelacionadas entre el efecto horizontal de los derechos fundamentales y el deber de protección del Estado, así como la asunción de la seguridad colectiva

  14. Human Rights in Indonesian Constitutional Amendments

    OpenAIRE

    Kharlie, Ahmad Tholabi

    2013-01-01

    Human Rights in Indonesian Constitutional Amendments. Indonesian constitutional amendments incorporated human rights principles into the Constitution of the Republic of Indonesia 1945 (UUD NRI), especially in the second amendment in 2000. Under that amendment, the UUD NRI currently stipulates human rights principles as provided for in the Universal Declaration of Human Rights (UDHR). However, there are some important notes, which at its core is a lack of emphasis on the vision and mission of ...

  15. The Constitution of the Republic of Estonia

    Index Scriptorium Estoniae

    2005-01-01

    Raamat sisaldab ka: The Constitution of the Republic of Estonia amendment act ; The Constitution of the Republic of Estonia implementation act ; Act to amend the Constitution of the Republic of Estonia for election of local government councils for term of four years

  16. Urgensi Pengaturan Perkara Constitutional Complaint Dalam Kewenangan Mahkamah Konstitusi

    Directory of Open Access Journals (Sweden)

    Rahmat Muhajir Nugroho

    2016-02-01

    Full Text Available This study aimed to evaluate the mechanism for settling disputes in the Constitutional Court containing elements of constitutional complaint. In particular, this study focused on two things: first assessing the urgency/ importance of the idea of setting constitutional complaint in the Constitutional Court's authority. Secondly, to formulate recommendations on setting constitutional complaint in the Constitutional Court's authority. The method used in this research is descriptive qualitative. This type of research is a doctrinal law. This research studied the concept and implementation of the judicial settlement of cases that contain elements of constitutional complaint (complaint constitution by the Constitutional Court. The conclusion of this study is an important constitutional complaint mechanism is contained within the competence of the Constitutional Court to solve problems of injustice experienced by citizens as a result of public policies undertaken by the government in a broad sense, namely the executive, legislature and judiciary. Setting constitutional complaint within the competence of the Constitutional Court does not have to be explicitly stipulated in the constitution, but enough in the explanation of the Constitutional Court Act. That is not to add direct authority of the Court, but expand the meaning of the authority of the Court in testing the law.

  17. Childrens' Rights in the South African Constitution

    Directory of Open Access Journals (Sweden)

    JA Robinson

    2003-10-01

    Full Text Available Children were in many respects defenceless victims of discriminatory practices in ‘apartheid South Africa’. In fact, discrimination on the basis of gender, race and other inequalities were inscribed in the social fabric of the previous constitutional dispensation. The constitutional dispensation that came into effect on the 27th April 1994 was therefore designed to innovate social, political and legal structures that would be radically different from those of the country’s past history.In this contribution the impact of the Constitution upon the rights of children are considered. In order to fathom the impact. a general overview of constitutional principles and provisions necessary for the comprehension of the rights of children is provided. Thereafter the rights of children expressly mentioned in the Constitution will be addressed. Attention is also paid to the equal protection and non-discrimination provisions of the Constitution, albeit only indirectly.

  18. Equation of State Model Quality Study for Ti and Ti64.

    Energy Technology Data Exchange (ETDEWEB)

    Wills, Ann Elisabet [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sanchez, Jason James [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

    2015-02-01

    Titanium and the titanium alloy Ti64 (6% aluminum, 4% vanadium and the balance ti- tanium) are materials used in many technologically important applications. To be able to computationally investigate and design these applications, accurate Equations of State (EOS) are needed and in many cases also additional constitutive relations. This report describes what data is available for constructing EOS for these two materials, and also describes some references giving data for stress-strain constitutive models. We also give some suggestions for projects to achieve improved EOS and constitutive models. In an appendix, we present a study of the 'cloud formation' issue observed in the ALEGRA code. This issue was one of the motivating factors for this literature search of available data for constructing improved EOS for Ti and Ti64. However, the study shows that the cloud formation issue is only marginally connected to the quality of the EOS, and, in fact, is a physical behavior of the system in question. We give some suggestions for settings in, and improvements of, the ALEGRA code to address this computational di culty.

  19. On a system of differential equations with fractional derivatives arising in rod theory

    International Nuclear Information System (INIS)

    Atanackovic, Teodor M; Stankovic, Bogoljub

    2004-01-01

    We study a system of equations with fractional derivatives, that arises in the analysis of the lateral motion of an elastic column fixed at one end and loaded by a concentrated follower force at the other end. We assume that the column is positioned on a viscoelastic foundation described by a constitutive equation of fractional derivative type. The stability boundary is determined. It is shown that as in the case of an elastic (Winkler) type of foundation the stability boundary remains the same as for the column without a foundation! Thus, with the solution analysed here, the column exhibits the so-called Hermann-Smith paradox

  20. Constitutional Conservatism

    Science.gov (United States)

    Berkowitz, Peter

    2009-01-01

    After their dismal performance in election 2008, conservatives are taking stock. As they examine the causes that have driven them into the political wilderness and as they explore paths out, they should also take heart. After all, election 2008 shows that America's constitutional order is working as designed. Indeed, while sorting out their errors…

  1. The constitutional control system in Colombia

    OpenAIRE

    Luis Javier Moreno Ortiz

    2010-01-01

    The system of constitutional control in Colombia designed in the Legislative Act n.º 3 of 1910 is a milestone in a long and fruitful political and constitutional tradition owes much to his Hispanic roots and its American developments. Both the public action of unconstitutionality as the plea of unconstitutionality have clear precedents in the constitutionalism of Spain and the Colony were prepared by a Constituent Assembly acted with knowledge and faithfulness to that tradition and have been ...

  2. Constitutive Effects of Performance Indicators

    DEFF Research Database (Denmark)

    Dahler-Larsen, Peter

    2014-01-01

    that are demonstrably problematic. Based on a distinction between trivial and advanced measure fixation, an argument is made for constitutive effects that are based on less problematic assumptions. Through this conceptual move, the political dimension of performance indicators is appreciated. The conceptual dimensions...... of constitutive effects are carved out, empirical illustrations of their applicability are offered and implications discussed....

  3. Constitutional compatibility of energy systems

    International Nuclear Information System (INIS)

    Rossnagel, A.

    1983-01-01

    The paper starts from the results of the Enquiry Commission on 'Future Nuclear Energy Policy' of the 8th Federal German Parliament outlining technically feasible energy futures in four 'pathways'. For the purpose of the project, which was to establish the comparative advantages and disadvantages of different energy systems, these four scenarios were reduced to two alternatives: cases K (= nuclear energy) and S (= solar energy). The question to Ge put is: Which changes within our legal system will be ushered in by certain technological developments and how do these changes relate to the legal condition intended so far. Proceeding in this manner will not lead to the result of a nuclear energy system or a solar energy system being in conformity or in contradiction with the constitutional law, but will provide a catalogue of implications orientated to the aims of legal standards: a person deciding in favour of a nuclear energy system or a solar energy system supports this or that development of constitutional policy, and a person purishing this or that aim of legal policy should be consistent and decide in favour of this or that energy system. The investigation of constitutional compatibility leads to the question what effects different energy systems will have on the forms of political intercourse laid down in the constitutional law, which are orientated to models of a liberal constitutional tradition of citizens. (orig./HSCH) [de

  4. A thermodynamically and microscopically motivated constitutive model for piezoceramics

    International Nuclear Information System (INIS)

    Kamlah, M.; Wang, Z.

    2003-07-01

    This progress report presents a thermodynamically and microscopically motivated constitutive model for piezoceramics within the framework of a research project supported by the Deutsche Forschungsgemeinschaft. This project is aimed at developing a finite element tool for the analysis of piezoceramic components taking into account the full range of large signal electromechanical hysteresis effects exhibited by these materials. Such a tool is necessary for the stress analysis being the basis for a reliability assessment of piezoceramic devices subject to domain switching processes. In a first step, the hysteresis phenomena of piezoceramics and their microscopic origin were discussed, and the phenomena to be described were selected. Concerning the balance laws, the simplest form consisting of balance of momentum and Gauss' Law was derived by physically motivated assumptions step by step from nonlinear thermomechanics and Maxwell's Equations. Revision of the current literature revealed that a commonly accepted thermodynamic framework for phenomenological modeling has been established in the international scientific discussion. (orig.)

  5. Technological pedagogical content knowledge of junior high school mathematics teachers in teaching linear equation

    Science.gov (United States)

    Wati, S.; Fitriana, L.; Mardiyana

    2018-04-01

    Linear equation is one of the topics in mathematics that are considered difficult. Student difficulties of understanding linear equation can be caused by lack of understanding this concept and the way of teachers teach. TPACK is a way to understand the complex relationships between teaching and content taught through the use of specific teaching approaches and supported by the right technology tools. This study aims to identify TPACK of junior high school mathematics teachers in teaching linear equation. The method used in the study was descriptive. In the first phase, a survey using a questionnaire was carried out on 45 junior high school mathematics teachers in teaching linear equation. While in the second phase, the interview involved three teachers. The analysis of data used were quantitative and qualitative technique. The result PCK revealed teachers emphasized developing procedural and conceptual knowledge through reliance on traditional in teaching linear equation. The result of TPK revealed teachers’ lower capacity to deal with the general information and communications technologies goals across the curriculum in teaching linear equation. The result indicated that PowerPoint constitutes TCK modal technological capability in teaching linear equation. The result of TPACK seems to suggest a low standard in teachers’ technological skills across a variety of mathematics education goals in teaching linear equation. This means that the ability of teachers’ TPACK in teaching linear equation still needs to be improved.

  6. A modified two-fluid model for the application of two-group interfacial area transport equation

    International Nuclear Information System (INIS)

    Sun, X.; Ishii, M.; Kelly, J.

    2003-01-01

    This paper presents the modified two-fluid model that is ready to be applied in the approach of the two-group interfacial area transport equation. The two-group interfacial area transport equation was developed to provide a mechanistic constitutive relation for the interfacial area concentration in the two-fluid model. In the two-group transport equation, bubbles are categorized into two groups: spherical/distorted bubbles as Group 1 while cap/slug/churn-turbulent bubbles as Group 2. Therefore, this transport equation can be employed in the flow regimes spanning from bubbly, cap bubbly, slug to churn-turbulent flows. However, the introduction of the two groups of bubbles requires two gas velocity fields. Yet it is not desirable to solve two momentum equations for the gas phase alone. In the current modified two-fluid model, a simplified approach is proposed. The momentum equation for the averaged velocity of both Group-1 and Group-2 bubbles is retained. By doing so, the velocity difference between Group-1 and Group-2 bubbles needs to be determined. This may be made either based on simplified momentum equations for both Group-1 and Group-2 bubbles or by a modified drift-flux model

  7. DEVELOPMENTS IN THE CONSTITUTIONAL REVIEW. CONSTITUTIONAL COURT BETWEEN THE STATUS OF NEGATIVE LEGISLATOR AND THE STATUS OF POSITIVE CO-LEGISLATOR

    Directory of Open Access Journals (Sweden)

    Marieta Safta

    2012-11-01

    Full Text Available The study wants to emphasize that Constitutional Courts belonging to the European model depart from their traditional role as ”negative legislator” – which refers to the effect of their acts consisting in removal from the legal system of those rules contrary to the Basic Law -, becoming, to a certain extent, a ”positive legislator”. Official interpreters of the Constitution, Constitutional Courts assume, sometimes, a role of co-legislators, creating provisions they deduct from the Constitution - when controlling the absence of legislation or legislative omissions -, and revealing the content of constitutional and even infraconstitutional rules accordingly with the Constitution in their case-law, whose effects are nothing but specific forms of „impulse” or „coercion” of the legislator to proceed in a certain sense, and whose continuous development guides the evolution of the entire legal system. Case – law selected presents ways in which the Constitutional Court of Romania is associated to law-making activity. Without minimizing in any way its traditional role as "negative legislator", the study refers mainly to acts and situations that give expression to the creative role of the Constitutional Court of Romania.

  8. Constitutionalism and good governance in Nigeria (1999-2014 ...

    African Journals Online (AJOL)

    While the country, at present, has a written constitution which in reality, was derived from a military decree, there has been constant debate as to whether what the country has is really a constitution and whether the subsequent civilian regimes are constitutional governments. This paper attempts to analyse the constitutional ...

  9. Approximation of entropy solutions to degenerate nonlinear parabolic equations

    Science.gov (United States)

    Abreu, Eduardo; Colombeau, Mathilde; Panov, Evgeny Yu

    2017-12-01

    We approximate the unique entropy solutions to general multidimensional degenerate parabolic equations with BV continuous flux and continuous nondecreasing diffusion function (including scalar conservation laws with BV continuous flux) in the periodic case. The approximation procedure reduces, by means of specific formulas, a system of PDEs to a family of systems of the same number of ODEs in the Banach space L^∞, whose solutions constitute a weak asymptotic solution of the original system of PDEs. We establish well posedness, monotonicity and L^1-stability. We prove that the sequence of approximate solutions is strongly L^1-precompact and that it converges to an entropy solution of the original equation in the sense of Carrillo. This result contributes to justify the use of this original method for the Cauchy problem to standard multidimensional systems of fluid dynamics for which a uniqueness result is lacking.

  10. Implementation of numerical integration schemes for the simulation of magnetic SMA constitutive response

    International Nuclear Information System (INIS)

    Kiefer, B; Bartel, T; Menzel, A

    2012-01-01

    Several constitutive models for magnetic shape memory alloys (MSMAs) have been proposed in the literature. The implementation of numerical integration schemes, which allow the prediction of constitutive response for general loading cases and ultimately the incorporation of MSMA response into numerical solution algorithms for fully coupled magneto-mechanical boundary value problems, however, has received only very limited attention. In this work, we establish two algorithmic implementations of the internal variable model for MSMAs proposed in (Kiefer and Lagoudas 2005 Phil. Mag. Spec. Issue: Recent Adv. Theor. Mech. 85 4289–329, Kiefer and Lagoudas 2009 J. Intell. Mater. Syst. 20 143–70), where we restrict our attention to pure martensitic variant reorientation to limit complexity. The first updating scheme is based on the numerical integration of the reorientation strain evolution equation and represents a classical predictor–corrector-type general return mapping algorithm. In the second approach, the inequality-constrained optimization problem associated with internal variable evolution is converted into an unconstrained problem via Fischer–Burmeister complementarity functions and then iteratively solved in standard Newton–Raphson format. Simulations are verified by comparison to closed-form solutions for experimentally relevant loading cases. (paper)

  11. New mesoscopic constitutive model for deformation of pearlitic steels up to moderate strains

    Science.gov (United States)

    Alkorta, J.; Martínez-Esnaola, J. M.; de Jaeger, P.; Gil Sevillano, J.

    2017-07-01

    A new constitutive model for deformation of pearlitic steels has been developed that describes the mechanical behaviour and microstructural evolution of lamellar multi-colony pearlite. The model, a two-phase continuum model, considers the plastic anisotropy of ferrite derived from its lamellar structure but ignores any anisotropy associated with cementite and does not consider the crystal structure of either constituent. The resulting plastic constitutive equation takes into account a dependence on both the pearlitic spacing (arising from the confined slip of dislocations in the lamellae) and on strengthening from the evolving intra-lamellar dislocation density. A Kocks-Mecking strain hardening/recovery model is used for the lamellar ferrite, whereas perfect-plastic behaviour is assumed for cementite. The model naturally captures the microstructural evolution and the internal micro-stresses developed due to the different mechanical behaviour of both phases. The model is also able to describe the lamellar evolution (orientation and interlamellar spacing) with good accuracy. The role of plastic anisotropy in the ferritic phase has also been studied, and the results show that anisotropy has an important impact on both microstructural evolution and strengthening of heavily drawn wires.

  12. 75 FR 57835 - Constitution Day and Citizenship Day, Constitution Week, 2010

    Science.gov (United States)

    2010-09-22

    ... four short months, delegates to the Constitutional Convention in Philadelphia established a... government, a protector of liberties, and a guarantee that we are all free to shape our own destiny. As we...

  13. Power: Constitutional Update. Bar/School Partnership Programs Series.

    Science.gov (United States)

    American Bar Association, Chicago, IL. Special Committee on Youth Education for Citizenship.

    The fourth in a special series of handbooks dealing with constitutional themes, this document looks at power in the context of the U.S. Constitution. "The Constitution's Prescription for Freedom" (L. Peach) examines the separation of powers provided for in the Constitution. "The Concept of Power" (C. Roach) is a series of…

  14. Constitutive model for porous materials

    International Nuclear Information System (INIS)

    Weston, A.M.; Lee, E.L.

    1982-01-01

    A simple pressure versus porosity compaction model is developed to calculate the response of granular porous bed materials to shock impact. The model provides a scheme for calculating compaction behavior when relatively limited material data are available. While the model was developed to study porous explosives and propellants, it has been applied to a much wider range of materials. The early development of porous material models, such as that of Hermann, required empirical dynamic compaction data. Erkman and Edwards successfully applied the early theory to unreacted porous high explosives using a Gruneisen equation of state without yield behavior and without trapped gas in the pores. Butcher included viscoelastic rate dependance in pore collapse. The theoretical treatment of Carroll and Holt is centered on the collapse of a circular pore and includes radial inertia terms and a complex set of stress, strain and strain rate constitutive parameters. Unfortunately data required for these parameters are generally not available. The model described here is also centered on the collapse of a circular pore, but utilizes a simpler elastic-plastic static equilibrium pore collapse mechanism without strain rate dependence, or radial inertia terms. It does include trapped gas inside the pore, a solid material flow stress that creates both a yield point and a variation in solid material pressure with radius. The solid is described by a Mie-Gruneisen type EOS. Comparisons show that this model will accurately estimate major mechanical features which have been observed in compaction experiments

  15. The Spanish Constitution, the Constitutional Court and the Catalan Referendum

    DEFF Research Database (Denmark)

    Abat Ninet, Antoni

    2015-01-01

    and politeia that Aristotle defined now clashes between two powerful symbolic and romantic phenomena. In the Spanish-Catalan binomial scenario, there are some elements that need to be analysed to obtain a complete picture of the constitutional possibilities to of accommodating a Catalan self...

  16. Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance

    Science.gov (United States)

    Rajagopal, K. R.; Srinivasa, A. R.

    2013-04-01

    In this note, we will show that for describing the response of a wide class of bodies, it is sufficient to invoke only the balance of angular momentum to obtain the restrictions on the constitutive functions that one obtains by appealing to frame indifference. While this result is known for hyperelastic materials (although it is not found in any standard text on the subject), we extend this result to classes of elasto-plastic and viscoelastic materials as well as for a class of implicit constitutive equations for viscous fluids. In particular, we show that for a class of bodies capable of instantaneous elastic response that is dictated by a stored energy function, the symmetry of the Cauchy stress alone is enough to obtain all the necessary restrictions. The result is related to Noether's theorem; if we know that there is a conserved quantity (i.e., angular momentum), we can then show that the energy function must be invariant under a group of transformations. For a class of generalized Newtonian fluids (including the Navier Stokes fluid and the Bingham fluid), the symmetry of the stress and Galilean invariance of the response functions are all that are required to obtain restrictions that are usually obtained by enforcing frame indifference.

  17. Separation of powers and constitutional loyalty

    Directory of Open Access Journals (Sweden)

    Marieta SAFTA

    2013-06-01

    Full Text Available The complexity and dynamics of political life leads to developments and reconsiderations in terms of classical theories of constitutional law. Such a process occurs also in the case of separation of powers. Many factors have a bearing on how this theory is currently translated into practice, which requires additional perspectives of analysis in order to develop improved models of cooperation and balance of powers, according to new political realities. This study aims at examining the principle of separation and balance of powers in terms of mutual respect and loyal cooperation between institutions, or, in a broader sense, of constitutional loyalty, an intrinsic value-principle of all constitutions, without which no fundamental law, no matter of how democratic it might be, could function properly2. Based on examination of concrete cases drawn from the case-law of the Constitutional Court of Romania, the study demonstrates that, in lack of constitutional loyalty, the objective pursued by enshrining the principle of separation of powers cannot be achieved effectively, i.e. compliance of public authorities and political actors with constitutional provisions is purely formal and the alleged collaboration between them is a "dialogue of the deaf" at the expense of democracy. The seriousness of the consequences of this type of behaviour requires identification of remedies. What are the limits and what solutions can be identified in this regard are questions that also we aim to answer.

  18. Nuclear energy and the constitutional state

    International Nuclear Information System (INIS)

    Saladin, P.

    1984-01-01

    This article puts the main emphasis on the problems of the constitutional principles of democracy, federalism, peaceful living together of peoples and constitutional state, i.e. problems caused by the development of nuclear energy. The fact that these problems are explained by way of the example of Switzerland, does not reduce the validity of the findings also for the German constitutional system, since the problems are identical and comparable. A long-term goal is a state theory which helps to define the aims and tasks of the state under technical, social, economic and cultural conditions of the end of the 20th and perhaps of the 21st century. Nuclear technology challenges the modern Western state and puts to the test the firmness of its legitimacy basis and the efficiency of its principles. It was conceived in a time which is separated from the present by technological revolutions. Safeguarding of humanity is aim and obligation of the modern constitutional state; the constitutional state stipulates the rules of conduct and, if the state remains true to its claim, it sets the procedures and the organization which give due priority order to the development of modern technology. (orig./HSCH) [de

  19. Loading method of core constituting elements

    International Nuclear Information System (INIS)

    Kasai, Shigeo

    1976-01-01

    Purpose: To provide a remote-controlled replacing method for core constituting elements in a liquid-metal cooling fast breeder, wherein particularly, the core constituting elements are prevented from being loaded on the core position other than as designated. Constitution: The method comprises a first step which determines a position of a suitable neutron shielding body in order to measure a reference level of complete insertion of the core constituting elements, a second step which inserts a gripper for a fuel exchanger, a third step which decides stroke dimensions of the complete insertion, and a fourth step which discriminates the core constituting elements to begin handling of fuel rods. The method further comprises a fifth step which determines a loading position of fuel rod, and a sixth step which inserts and loads fuel rods into the core. The method still further comprises a seventh step which compares and judges the dimension of loading stroke and the dimension of complete inserting stroke so that when coincided, loading is completed, and when not coincided, loading is not completed and then the cycle of the fourth step is repeated. (Kawakami, Y.)

  20. 76 FR 58705 - Constitution Day and Citizenship Day, Constitution Week, 2011

    Science.gov (United States)

    2011-09-21

    ... vision, we resolve to stay true to their spirit of patriotism and unity. In remembrance of the signing of... citizenship, recognize the enduring strength of our Constitution, and reaffirm our commitment to the rights...

  1. Constitutional Verbosity and Social Trust

    DEFF Research Database (Denmark)

    Bjørnskov, Christian; Voigt, Stefan

    2014-01-01

    A common argument in the trust literature is that high-trust cultures allow efficient commercial contracts to be shorter, covering fewer contingencies. We take this idea to the topic of social contracts. Specifically, we ask whether social trust affects the length and detail of constitutions. Cross......-country estimates suggest that national trust levels are indeed robustly and negatively associated with the length of countries’ constitutions....

  2. The constitutional control system in Colombia

    Directory of Open Access Journals (Sweden)

    Luis Javier Moreno Ortiz

    2010-12-01

    Full Text Available The system of constitutional control in Colombia designed in the Legislative Act n.º 3 of 1910 is a milestone in a long and fruitful political and constitutional tradition owes much to his Hispanic roots and its American developments. Both the public action of unconstitutionality as the plea of unconstitutionality have clear precedents in the constitutionalism of Spain and the Colony were prepared by a Constituent Assembly acted with knowledge and faithfulness to that tradition and have been and are institutions of our capital social and democratic state of law.

  3. The negotiation of The Constitution of Romania of 1923 and The Constitution of Romania of 1991

    Directory of Open Access Journals (Sweden)

    Ivona-Arina Raef

    2012-12-01

    Full Text Available In the present study the author is trying to find if there was a negotiation between main parties regarding The Constitution of Romania of 1923 and The Constitution Of Romania of 1991 or if there was a project imposed by one party to the others.

  4. A Nano-indentation Identification Technique for Viscoelastic Constitutive Characteristics of Periodontal Ligaments

    Directory of Open Access Journals (Sweden)

    Ashrafi H.

    2016-06-01

    Full Text Available Introduction: Nano-indentation has recently been employed as a powerful tool for determining the mechanical properties of biological tissues on nano and micro scales. A majority of soft biological tissues such as ligaments and tendons exhibit viscoelastic or time-dependent behaviors. The constitutive characterization of soft tissues is among very important subjects in clinical medicine and especially, biomechanics fields. Periodontal ligament plays an important role in initiating tooth movement when loads are applied to teeth with orthodontic appliances. It is also the most accessible ligament in human body as it can be directly manipulated without any surgical intervention. From a mechanical point of view, this ligament can be considered as a thin interface made by a solid phase, consisting mainly of collagen fibers, which is immersed into a so-called ground substance. However, the viscoelastic constitutive effects of biological tissues are seldom considered rigorous during Nano-indentation tests. Methods: In the present paper, a mathematical contact approach is developed to enable determining creep compliance and relaxation modulus of distinct periodontal ligaments, using constant–rate indentation and loading time histories, respectively. An adequate curve-fitting method is presented to determine these characteristics based on the Nano-indentation of rigid Berkovich tips. Generalized Voigt-Kelvin and Wiechert models are used to model constitutive equations of periodontal ligaments, in which the relaxation and creep functions are represented by series of decaying exponential functions of time. Results: Time-dependent creep compliance and relaxation function have been obtained for tissue specimens of periodontal ligaments. Conclusion: To improve accuracy, relaxation and creep moduli are measured from two tests separately. Stress relaxation effects appear more rapidly than creep in the periodontal ligaments.

  5. Development and validation of bubble breakup and coalescence constitutive models for the one-group interfacial area transport equation

    International Nuclear Information System (INIS)

    Pellacani, Filippo

    2012-01-01

    A local mechanistic model for bubble coalescence and breakup for the one-group interfacial area transport equation has been developed, in agreement and within the limits of the current understanding, based on an exhaustive survey of the theory and of the state of the art models for bubble dynamics simulation. The new model has been tested using the commercial 3D CFD code ANSYS CFX. Upward adiabatic turbulent air-water bubbly flow has been simulated and the results have been compared with the data obtained in the experimental facility PUMA. The range of the experimental data available spans between 0.5 to 2 m/s liquid velocity and 5 to 15 % volume fraction. For the implementation of the models, both the monodispersed and the interfacial area transport equation approaches have been used. The first one to perform a detailed analysis of the forces and models to reproduce the dynamic of the dispersed phase adequately and to be used in the next phases of the work. Also two different bubble induced turbulence models have been tested to consider the effect of the presence of the gas phase on the turbulence of the liquid phase. The interfacial area transport equation has been successfully implemented into the CFD code and the state of the art breakup and coalescence models have been used for simulation. The limitations of the actual theory have been shown and a new bubble interactions model has been developed. The simulations showed that a considerable improvement is achieved if compared to the state of the art closure models. Limits in the implementation derive from the actual understanding and formulation of the bubbly dynamics. A strong dependency on the interfacial non-drag force models and coefficients have been shown. More experimental and theory work needs to be done in this field to increase the prediction capability of the simulation tools regarding the distribution of the phases along the pipe radius.

  6. Boundary-integral equation formulation for time-dependent inelastic deformation in metals

    Energy Technology Data Exchange (ETDEWEB)

    Kumar, V; Mukherjee, S

    1977-01-01

    The mathematical structure of various constitutive relations proposed in recent years for representing time-dependent inelastic deformation behavior of metals at elevated temperatues has certain features which permit a simple formulation of the three-dimensional inelasticity problem in terms of real time rates. A direct formulation of the boundary-integral equation method in terms of rates is discussed for the analysis of time-dependent inelastic deformation of arbitrarily shaped three-dimensional metallic bodies subjected to arbitrary mechanical and thermal loading histories and obeying constitutive relations of the kind mentioned above. The formulation is based on the assumption of infinitesimal deformations. Several illustrative examples involving creep of thick-walled spheres, long thick-walled cylinders, and rotating discs are discussed. The implementation of the method appears to be far easier than analogous BIE formulations that have been suggested for elastoplastic problems.

  7. The Constitutional Court and the Imperative of its Reform

    Directory of Open Access Journals (Sweden)

    Claudia Gilia

    2012-12-01

    Full Text Available Recent debates on the upcoming review of the Constitution have determined us to pay close attention to the basic institution in a democratic state, that is the Constitutional Court. Being caught in the crossfire between power and opposition, the Constitutional Court had a hard time lately, facing severe attacks. The aim of our study is to analyze the evolution of the Constitutional Court within the inland constitutional system, particularly bringing up the flaws describing the Court’s activity. We have also analyzed the proposals put forth by several bodies or experts regarding the constitutional contentious court. At the end of our study, following an analysis of different constitutional types of constitutional review, used by a number of states in Europe, we introduced several resolutions that may improve the role, the course and, last but not least, the activity of the Romanian Constitutional Court.

  8. Elastic-plastic constitutive modeling of concrete

    International Nuclear Information System (INIS)

    Takahashi, Y.

    1983-03-01

    The need to understand concrete behavior under high temperatures in the nuclear industry has become rather accute. For this purpose, a constitutive model of concrete especially developed for this severe environment is indispensable. This report reviews the presently available constitutive models of concrete at standard-temperature conditions and considers their advantages and drawbacks. A rather simple but effective approach is selected to treat concrete behavior at high temperatures. Special emphasis is devoted to the modeling of concrete up to and including failure. The derived constitutive model is checked with biaxial and triaxial benchmark experimental results. Very good agreement is obtained

  9. Atypical Rulings of the Indonesian Constitutional Court

    Directory of Open Access Journals (Sweden)

    Bisariyadi

    2016-08-01

    Full Text Available In deciding judicial review cases, the Court may issue rulings that is not in accordance to what is stipulated in the Constitutional Court Law (Law Number 8 Year 2011. Atypical rulings means that the court may reconstruct a provision, delay the legislation/rulings enactment or give instruction to lawmakers. In addition, the court also introduce the “conditionally (unconstitutional” concept. This essay attempts to identify and classify these atypical rulings, including conditionally (un constitutional rulings, by examined the constitutional court judicial review rulings from 2003 to 2015. This study will provide a ground work for advance research on typical rulings by the Indonesian constitutional court.

  10. Constitutional orders in multinational firms

    DEFF Research Database (Denmark)

    Hull Kristensen, Peer; Morgan, Glenn

    Multinationals are faced with the problem of how to coordinate different actors and stop `fiefdoms' emerging that inhibits the achievement of transnational cooperation? We identify this as a problem of `constitutional ordering' in the firm. Drawing on Varieties of Capitalism approaches, we explore...... how multinationals from different contexts seek to create constitutional orders. We argue that the models which exist appear to be destructive of coordination. We explore the implications for MNCs....

  11. Territory in the Constitutional Standards of Unitary States

    Directory of Open Access Journals (Sweden)

    Marina V. Markhgeym

    2017-06-01

    Full Text Available The article is based on the analysis of the constitutions of seven European countries (Albania, Hungary, Greece, Spain, Malta, Poland, Sweden. The research allows to reveal general and specific approaches to consolidation of norms on territories in a state and give the characteristic of the corresponding constitutional norms. Given the authors ' comprehensive approach to the definition of the territory of the state declared constitutional norms were assessed from the perspective of the fundamental principles and constituent elements of the territory. Considering the specifics of the constitutional types of state territories authors suggest typical and variative models and determine the constitutions of unitary states, distinguished by their originality in the declared group of legal relations. The original constitutional language areas associated with the introduction at the state level, these types of areas that are not typical for other countries.

  12. Constitutionalism and Democracy in Contemporary International Community

    OpenAIRE

    Padjen, Ivan

    1992-01-01

    Starting from the insight that jurisprudence of legal theory should be concerned primarily with,on the one hand, international law, and, on the other, constitutional developments, the paper; analyzes some prominent conceptions of constitutionalism and democracy in international community and municipal legal orders; formulates a new set of criteria for the analysis of constitutionalism and democracy in international law; and argues that Laswell and McDougal's policy oriented jurisprudence offe...

  13. On the constitutionality of dose limiting values

    International Nuclear Information System (INIS)

    Goetz, V.

    1976-01-01

    The fundamental right according to Art. 2 par. 2 sentence 1 of the German Constitution is relevant for the set-up and application of radiation protection law. Resulting from Art. 2 par. 2 sentence 1 of the Constitution it is a general obligation of the state to protect life (Federal Constitutional Court, judgment of 25th Feb., 1975, BVerfGE 39.1) and physical soundness. The subjective basic right of everybody to defend against official encroachments his personal integrity corresponds to the right of the individual within the framework of the official obligation for protection from the state (to ward off danger). The term of danger, as to the degree of its determination, corresponds to that of the encroachment. To speak of danger in a legal sense, the causal connection between a certain source of danger and certain damage must be ascertained and proved. Topical controversies as to the admissibility of activity discharges of low doses range in the field of risk reduction and thus in the field of the duty of the state to take precautionary steps against risks (Art. 2 par. 2 sentence 1 of the Constitution). The constitution, however, does not contain any basic right that every risk has to be avoided. On the other hand, the necessity of cautions valuation of radiation risks can be derived from the Constitution. The fixation of dose limits and their application in connection with general radiation protection principles (paragraph 28 E of the Radiation Protection Ordinance) do not contain any 'interference' with the basic right in the sense of Art. 2 par. 2 sentence 3 of the Constitution. Neither from aspects of the principle of the legal state nor from Art. 80 par. 1 of the Constitution can the use of the legal form of the Ordinance be doubted. (orig./HP) [de

  14. Theoretical Evaluation of Crosslink Density of Chain Extended Polyurethane Networks Based on Hydroxyl Terminated Polybutadiene and Butanediol and Comparison with Experimental Data

    Science.gov (United States)

    Sekkar, Venkataraman; Alex, Ancy Smitha; Kumar, Vijendra; Bandyopadhyay, G. G.

    2018-01-01

    Polyurethane networks between hydroxyl terminated polybutadiene (HTPB) and butanediol (BD) were prepared using toluene diisocyanate (TDI) as the curative. HTPB and BD were taken at equivalent ratios viz.: 1:0, 1:1, 1:2, 1:4, and 1:8. Crosslink density (CLD) was theoretically calculated using α-model equations developed by Marsh. CLD for the polyurethane networks was experimentally evaluated from equilibrium swell and stress-strain data. Young's modulus and Mooney-Rivlin approaches were adopted to calculate CLD from stress-strain data. Experimentally obtained CLD values were enormously higher than theoretical values especially at higher BD/HTPB equivalent ratios. The difference in the theoretical and experimental values for CLD was explained in terms of local crystallization due to the formation of hard segments and hydrogen bonded interactions.

  15. On the constitutive relation for thermoirradiation induced creep with application to stress analysis of a fuel rod

    International Nuclear Information System (INIS)

    Huang, S.

    1979-01-01

    Employing an analogy between thermally induced and irradiation induced creep, physical arguments are used first to deduce a one-dimensional constitutive relation for metals under stress in a high temperature and high neutron flux field. This constitutive relation contains modified superposition integrals in which the temperature and flux dependence of the material parameters is included via the use of two reduced time scales; linear elastic, thermal expansion and swelling terms are also included. A systematic development based on thermodynamics, with the stress, temperature increment and defect density increment as independent variables in the Gibbs free energy, is then employed to obtain general three-dimensional memory integrals for strain; the entropy and coupled energy equation are also obtained. Modified superposition integrals similar to those previously obtained by physical argument are then obtained by substituting special functions into the results of the thermodynamic analysis, and the special case of an isotropic stress power law is examined in detail

  16. Compatible discrete operator schemes on polyhedral meshes for elliptic and Stokes equations

    International Nuclear Information System (INIS)

    Bonelle, Jerome

    2014-01-01

    This thesis presents a new class of spatial discretization schemes on polyhedral meshes, called Compatible Discrete Operator (CDO) schemes and their application to elliptic and Stokes equations In CDO schemes, preserving the structural properties of the continuous equations is the leading principle to design the discrete operators. De Rham maps define the degrees of freedom according to the physical nature of fields to discretize. CDO schemes operate a clear separation between topological relations (balance equations) and constitutive relations (closure laws). Topological relations are related to discrete differential operators, and constitutive relations to discrete Hodge operators. A feature of CDO schemes is the explicit use of a second mesh, called dual mesh, to build the discrete Hodge operator. Two families of CDO schemes are considered: vertex-based schemes where the potential is located at (primal) mesh vertices, and cell-based schemes where the potential is located at dual mesh vertices (dual vertices being in one-to-one correspondence with primal cells). The CDO schemes related to these two families are presented and their convergence is analyzed. A first analysis hinges on an algebraic definition of the discrete Hodge operator and allows one to identify three key properties: symmetry, stability, and P0-consistency. A second analysis hinges on a definition of the discrete Hodge operator using reconstruction operators, and the requirements on these reconstruction operators are identified. In addition, CDO schemes provide a unified vision on a broad class of schemes proposed in the literature (finite element, finite element, mimetic schemes... ). Finally, the reliability and the efficiency of CDO schemes are assessed on various test cases and several polyhedral meshes. (author)

  17. Active learning of constitutive relation from mesoscopic dynamics for macroscopic modeling of non-Newtonian flows

    Science.gov (United States)

    Zhao, Lifei; Li, Zhen; Caswell, Bruce; Ouyang, Jie; Karniadakis, George Em

    2018-06-01

    We simulate complex fluids by means of an on-the-fly coupling of the bulk rheology to the underlying microstructure dynamics. In particular, a continuum model of polymeric fluids is constructed without a pre-specified constitutive relation, but instead it is actively learned from mesoscopic simulations where the dynamics of polymer chains is explicitly computed. To couple the bulk rheology of polymeric fluids and the microscale dynamics of polymer chains, the continuum approach (based on the finite volume method) provides the transient flow field as inputs for the (mesoscopic) dissipative particle dynamics (DPD), and in turn DPD returns an effective constitutive relation to close the continuum equations. In this multiscale modeling procedure, we employ an active learning strategy based on Gaussian process regression (GPR) to minimize the number of expensive DPD simulations, where adaptively selected DPD simulations are performed only as necessary. Numerical experiments are carried out for flow past a circular cylinder of a non-Newtonian fluid, modeled at the mesoscopic level by bead-spring chains. The results show that only five DPD simulations are required to achieve an effective closure of the continuum equations at Reynolds number Re = 10. Furthermore, when Re is increased to 100, only one additional DPD simulation is required for constructing an extended GPR-informed model closure. Compared to traditional message-passing multiscale approaches, applying an active learning scheme to multiscale modeling of non-Newtonian fluids can significantly increase the computational efficiency. Although the method demonstrated here obtains only a local viscosity from the polymer dynamics, it can be extended to other multiscale models of complex fluids whose macro-rheology is unknown.

  18. Trust-region based return mapping algorithm for implicit integration of elastic-plastic constitutive models

    Energy Technology Data Exchange (ETDEWEB)

    Lester, Brian T. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Scherzinger, William M. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

    2017-01-19

    A new method for the solution of the non-linear equations forming the core of constitutive model integration is proposed. Specifically, the trust-region method that has been developed in the numerical optimization community is successfully modified for use in implicit integration of elastic-plastic models. Although attention here is restricted to these rate-independent formulations, the proposed approach holds substantial promise for adoption with models incorporating complex physics, multiple inelastic mechanisms, and/or multiphysics. As a first step, the non-quadratic Hosford yield surface is used as a representative case to investigate computationally challenging constitutive models. The theory and implementation are presented, discussed, and compared to other common integration schemes. Multiple boundary value problems are studied and used to verify the proposed algorithm and demonstrate the capabilities of this approach over more common methodologies. Robustness and speed are then investigated and compared to existing algorithms. As a result through these efforts, it is shown that the utilization of a trust-region approach leads to superior performance versus a traditional closest-point projection Newton-Raphson method and comparable speed and robustness to a line search augmented scheme.

  19. Trust-region based return mapping algorithm for implicit integration of elastic-plastic constitutive models

    Energy Technology Data Exchange (ETDEWEB)

    Lester, Brian [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Scherzinger, William [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

    2017-01-19

    Here, a new method for the solution of the non-linear equations forming the core of constitutive model integration is proposed. Specifically, the trust-region method that has been developed in the numerical optimization community is successfully modified for use in implicit integration of elastic-plastic models. Although attention here is restricted to these rate-independent formulations, the proposed approach holds substantial promise for adoption with models incorporating complex physics, multiple inelastic mechanisms, and/or multiphysics. As a first step, the non-quadratic Hosford yield surface is used as a representative case to investigate computationally challenging constitutive models. The theory and implementation are presented, discussed, and compared to other common integration schemes. Multiple boundary value problems are studied and used to verify the proposed algorithm and demonstrate the capabilities of this approach over more common methodologies. Robustness and speed are then investigated and compared to existing algorithms. Through these efforts, it is shown that the utilization of a trust-region approach leads to superior performance versus a traditional closest-point projection Newton-Raphson method and comparable speed and robustness to a line search augmented scheme.

  20. Time and constitution of sense

    Directory of Open Access Journals (Sweden)

    Pedro Gerardo Acosta

    2014-06-01

    Full Text Available This article proposes a reflection over our time-consciousness under the Phenomenology of Edmund Husserl. The idea is make a release the key role of the sense constitution like the fundament and development of the ongoing intentionality, a shape that make the possibility to catch sight of the sense of every life situation like conscience experience that displays itself over the time, and open the world of the Phenomenon World, constituted in the flux and flow of our live experience. The immanent time in which the things served in a lived-present inevitably displays to its own immediate-past of retentions, then of commemorations, constituting and enabling, not just the sense of ever present, but the sense of our own past like memory and our future like expectative. This reflection is based and supporter over the text “Phenomenology Lesson of the Internal Time-Consiusness” (Husserl, 2002.

  1. Cicero and the Mixed Constitution (res publica mixta

    Directory of Open Access Journals (Sweden)

    Mitja Sadek

    2009-12-01

    Full Text Available The story of the mixed constitution is the story of the most stable and just constitution. In theory, this is a combination of at least two of the three elementary forms of government (monarchy, aristocracy and democracy, with some advantages that elementary forms may lack. It originated with the deliberation of Greek philosophers, who wanted to draw up a constitution safeguarding against the permanent variation of elementary constitutional forms and against coups d’état. For both Plato and Aristotle, the mixed constitution was, above all, the reflection of a search for balance between the two extreme forms of government, direct (Athenian democracy on the one hand and the exclusion of the people from governing on the other. The Greek theory was applied by the historian Polybius to the traditional tripartite constitution of the Roman republic. In his view, the consuls were monarchic elements, the senate an aristocratic element, and the comitia a democratic one. Cicero’s introduction of the idea of the mixed constitution in De re publica can only be understood in the light of the author’s personal situation and contemporary political circumstances. His political engagement at a time when the republic was gradually transforming into a monarchy aimed at restoring the important role of the nobility, represented by the senate. For Cicero, the mixed constitution was mainly an instrument for restoring the lost balance between the consuls, the senate, and the comitia, a last chance to save the decaying republic. The concluding part of the article addresses Alois Riklin’s recent discussion of the modern reception of the mixed constitution idea, which advances the controversial thesis that the paradigm of power division, the foundation of modern representative democracy, originates directly from the mixed constitution.

  2. An Analysis on the Constitutive Models for Forging of Ti6Al4V Alloy Considering the Softening Behavior

    Science.gov (United States)

    Souza, Paul M.; Beladi, Hossein; Singh, Rajkumar P.; Hodgson, Peter D.; Rolfe, Bernard

    2018-05-01

    This paper developed high-temperature deformation constitutive models for a Ti6Al4V alloy using an empirical-based Arrhenius equation and an enhanced version of the authors' physical-based EM + Avrami equations. The initial microstructure was a partially equiaxed α + β grain structure. A wide range of experimental data was obtained from hot compression of the Ti6Al4 V alloy at deformation temperatures ranging from 720 to 970 °C, and at strain rates varying from 0.01 to 10 s-1. The friction- and adiabatic-corrected flow curves were used to identify the parameter values of the constitutive models. Both models provided good overall accuracy of the flow stress. The generalized modified Arrhenius model was better at predicting the flow stress at lower strain rates. However, the model was inaccurate in predicting the peak strain. In contrast, the enhanced physical-based EM + Avrami model revealed very good accuracy at intermediate and high strain rates, but it was also better at predicting the peak strain. Blind sample tests revealed that the EM + Avrami maintained good predictions on new (unseen) data. Thus, the enhanced EM + Avrami model may be preferred over the Arrhenius model to predict the flow behavior of Ti6Al4V alloy during industrial forgings, when the initial microstructure is partially equiaxed.

  3. Evaluation of potential crushed-salt constitutive models

    International Nuclear Information System (INIS)

    Callahan, G.D.; Loken, M.C.; Sambeek, L.L. Van; Chen, R.; Pfeifle, T.W.; Nieland, J.D.; Hansen, F.D.

    1995-12-01

    Constitutive models describing the deformation of crushed salt are presented in this report. Ten constitutive models with potential to describe the phenomenological and micromechanical processes for crushed salt were selected from a literature search. Three of these ten constitutive models, termed Sjaardema-Krieg, Zeuch, and Spiers models, were adopted as candidate constitutive models. The candidate constitutive models were generalized in a consistent manner to three-dimensional states of stress and modified to include the effects of temperature, grain size, and moisture content. A database including hydrostatic consolidation and shear consolidation tests conducted on Waste Isolation Pilot Plant and southeastern New Mexico salt was used to determine material parameters for the candidate constitutive models. Nonlinear least-squares model fitting to data from the hydrostatic consolidation tests, the shear consolidation tests, and a combination of the shear and hydrostatic tests produces three sets of material parameter values for the candidate models. The change in material parameter values from test group to test group indicates the empirical nature of the models. To evaluate the predictive capability of the candidate models, each parameter value set was used to predict each of the tests in the database. Based on the fitting statistics and the ability of the models to predict the test data, the Spiers model appeared to perform slightly better than the other two candidate models. The work reported here is a first-of-its kind evaluation of constitutive models for reconsolidation of crushed salt. Questions remain to be answered. Deficiencies in models and databases are identified and recommendations for future work are made. 85 refs

  4. Crushed-salt constitutive model update

    International Nuclear Information System (INIS)

    Callahan, G.D.; Loken, M.C.; Mellegard, K.D.; Hansen, F.D.

    1998-01-01

    Modifications to the constitutive model used to describe the deformation of crushed salt are presented in this report. Two mechanisms--dislocation creep and grain boundary diffusional pressure solutioning--defined previously but used separately are combined to form the basis for the constitutive model governing the deformation of crushed salt. The constitutive model is generalized to represent three-dimensional states of stress. New creep consolidation tests are combined with an existing database that includes hydrostatic consolidation and shear consolidation tests conducted on Waste Isolation Pilot Plant and southeastern New Mexico salt to determine material parameters for the constitutive model. Nonlinear least-squares model fitting to data from the shear consolidation tests and a combination of the shear and hydrostatic consolidation tests produced two sets of material parameter values for the model. The change in material parameter values from test group to test group indicates the empirical nature of the model but demonstrates improvement over earlier work with the previous models. Key improvements are the ability to capture lateral strain reversal and better resolve parameter values. To demonstrate the predictive capability of the model, each parameter value set was used to predict each of the tests in the database. Based on the fitting statistics and the ability of the model to predict the test data, the model appears to capture the creep consolidation behavior of crushed salt quite well

  5. Crushed-salt constitutive model update

    Energy Technology Data Exchange (ETDEWEB)

    Callahan, G.D.; Loken, M.C.; Mellegard, K.D. [RE/SPEC Inc., Rapid City, SD (United States); Hansen, F.D. [Sandia National Labs., Albuquerque, NM (United States)

    1998-01-01

    Modifications to the constitutive model used to describe the deformation of crushed salt are presented in this report. Two mechanisms--dislocation creep and grain boundary diffusional pressure solutioning--defined previously but used separately are combined to form the basis for the constitutive model governing the deformation of crushed salt. The constitutive model is generalized to represent three-dimensional states of stress. New creep consolidation tests are combined with an existing database that includes hydrostatic consolidation and shear consolidation tests conducted on Waste Isolation Pilot Plant and southeastern New Mexico salt to determine material parameters for the constitutive model. Nonlinear least-squares model fitting to data from the shear consolidation tests and a combination of the shear and hydrostatic consolidation tests produced two sets of material parameter values for the model. The change in material parameter values from test group to test group indicates the empirical nature of the model but demonstrates improvement over earlier work with the previous models. Key improvements are the ability to capture lateral strain reversal and better resolve parameter values. To demonstrate the predictive capability of the model, each parameter value set was used to predict each of the tests in the database. Based on the fitting statistics and the ability of the model to predict the test data, the model appears to capture the creep consolidation behavior of crushed salt quite well.

  6. Studies on mechanical behavior of bentonite for development of the constitutive model

    International Nuclear Information System (INIS)

    Sasakura, Tsuyoshi; Kuroyanagi, Mikio; Okamoto, Michitaka

    2002-02-01

    conductivity had apparent dependency on void ratio, and those relations could be expressed as single nonlinear line. 3) Using the test results and published data, empiric equations, which can describe the mechanical and hydraulic behavior and swelling characteristics of bentonite were obtained, considering the effect of volumetric deformation. Void ratio was selected as the main parameter of the equation, because typical constitutive model of clayey materials such as Cam-clay model employs the volumetric changes as state variable. 4) A model test apparatus was newly developed aiming at confirming adequacy of constitutive model, which was to be established to evaluate the long-term variation of mechanical property of bentonite. Performance of the apparatus was checked by trial tests. (author)

  7. Governing equations for a seriated continuum: an unequal velocity model for two-phase flow

    International Nuclear Information System (INIS)

    Solbrig, C.W.; Hughes, E.D.

    1975-05-01

    The description of the flow of two-phase fluids is important in many engineering devices. Unexpected transient conditions which occur in these devices cannot, in general, be treated with single-component momentum equations. Instead, the use of momentum equations for each phase is necessary in order to describe the varied transient situations which can occur. These transient conditions can include phases moving in the opposite directions, such as steam moving upward and liquid moving downward, as well as phases moving in the same direction. The derivation of continuity and momentum equations for each phase and an overall energy equation for the mixture are presented. Terms describing interphase forces are described. A seriated (series of) continuum is distinguished from an interpenetrating medium by the representation of interphase friction with velocity differences in the former and velocity gradients in the latter. The seriated continuum also considers imbedded stationary solid surfaces such as occur in nuclear reactor cores. These stationary surfaces are taken into account with source terms. Sufficient constitutive equations are presented to form a complete set of equations. Methods are presented to show that all these coefficients are determinable from microscopic models and well known experimental results. Comparison of the present deviation with previous work is also given. The equations derived here may also be employed in certain multiphase, multicomponent flow applications. (U.S.)

  8. Human Rights under the Ethiopian Constitution: A Descriptive ...

    African Journals Online (AJOL)

    This article summarizes human rights under the Ethiopian Constitution (mainly surrounding Chapter 3 of Constitution and related constitutional provisions on human and democratic rights), and forwards some insights. It, inter alia, covers various aspects of the application and interpretation of human rights provisions, ...

  9. Advances in differential equations and applications

    CERN Document Server

    Martínez, Vicente

    2014-01-01

    The book contains a selection of contributions given at the 23rd Congress on Differential Equations and Applications (CEDYA) / 13th Congress of Applied Mathematics (CMA) that took place at Castellon, Spain, in 2013. CEDYA is renowned as the congress of the Spanish Society of Applied Mathematics (SEMA) and constitutes the main forum and meeting point for applied mathematicians in Spain. The papers included in this book have been selected after a thorough refereeing process and provide a good summary of the recent activity developed by different groups working mainly in Spain on applications of mathematics to several fields of science and technology. The purpose is to provide a useful reference of academic and industrial researchers working in the area of numerical analysis and its applications.

  10. Work Towards a (New) Definition of Peace Constitution

    OpenAIRE

    Gilliam, Jay R.; Jay R., Gilliam

    2011-01-01

    Current research on peace constitutions generally centers on Japan’s post-World War II pacifist constitution, specifically Article 9 where Japan renounces war, dissolves its military, and vows to work towards peace in the world. In fact, researching peace constitution (or 平和憲法 in Japanese) in books, academic journals, or on the Internet routinely returns only results about Japan and its Article 9. While a substantial body of work exists about Japan’s peace constitution, too often that body of...

  11. Sonora Legislators and their Constitution, 1857-1861

    Directory of Open Access Journals (Sweden)

    Zulema Trejo

    2010-01-01

    Full Text Available This paper describes the members of the Sonora constituent congress (1857-61, and analyzes the debates they held regarding the project for the state's Constitution, which would follow the lines estblished by the 1857 Federal Constitution. It also points out the relations between each legislator's trajectory and politicial affiliation (as far as available sources allow for this, and the proposals he presented during the legislative debates that gave place to the 1861 Constitution of Sonora.

  12. Competition And Antitrust Law In Ecuadorian Constitution

    OpenAIRE

    Marcelo Marín Sevilla

    2013-01-01

    This work allows us to establish the Economic Constitution and the Competition Law (C.L) in the Constitution. Additionally, the paper analyzes whether the rules outlined in the C. L. and in doctrine are consistent and appropriate with the Constitution of Ecuador. The Competition and Antitrust Laws has rules for investigating and punishing the cartels, the abuses of power market (dominant position), the rules for merger control, the behaviors of Abuse of economic dependence, and unfair competi...

  13. Complexities of Constitutional Change in the Philippines

    OpenAIRE

    Saunders, Cheryl; Yusingco, Michael Henry

    2018-01-01

    President Rodrigo Duterte assumed office in July 2016, His party, PDP-Laban, had campaigned under the slogan: “No to Drugs, Yes to Federalism”. Duterte thus is committed to shepherding the Philippines towards a federal form of government; an undertaking that would require an extensive overhaul of the country’s constitution. The future of constitutional change under Duterte in any event is uncertain for a series of constitutional and political reasons. Critically, some of the most pressing of ...

  14. [Etiologic spectrum of solitary constitutional syndrome].

    Science.gov (United States)

    Hernández Hernández, J L; Matorras Galán, P; Riancho Moral, J A; González-Macías, J

    2002-07-01

    To know the spectrum of diseases responsible for the solitary constitutional syndrome in our setting. This syndrome was defined as a clinical picture characterized by the presence of asthenia, anorexia, and weight loss of at least 5% of body weight in the last six months, not associated with any other symptom or sign suggesting the diagnosis of an organ or system disease. All patients diagnosed of the solitary constitutional syndrome (328) in a tertiary-care level teaching hospital between January 1991 and December 1996. Fifty-two (170) percent of patients with solitary constitutional syndrome were males and 48% (158) females. The mean age was 65.4%, ranging from 15 to 97 years. The average of the monthly estimated weight loss was 3 to 4 kilograms. A total of 115 (35%) malignant neoplasms and 5 (1.5%) benign tumors were diagnosed. The most common malignant tumors corresponded to the digestive tract (51.3% of the total malignant tumors). The second cause in frequency of the solitary constitutional syndrome corresponded to psychiatric diseases, with a total of 80 patients (24.3%). A total of 116 non-neoplastic organic diseases were detected, with digestive tract diseases --mainly peptic disease-- being the most common cause in this group. After follow-up, only in twenty cases were we unable to detect the underlying disease responsible for the syndrome. In nine of these, the solitary constitutional syndrome was self-limited. Forty-four percent of patients had at least another concomitant disease and in 24% of patients more than one associated condition was found. The most common diseases responsible for the solitary constitutional syndrome were, by decreasing frequency, malignant tumors, psychiatric disorders, and non-malignant organic diseases located in the digestive tract. A better knowledge of the etiological spectrum of this syndrome might be useful for a more efficient management of these patients.

  15. Constitutional provisions regarding juristic persons | Pienaar ...

    African Journals Online (AJOL)

    The interim Constitution of 1993 and the final Constitution of 1996 contain specific provisions applicable to juristic persons. Juristic persons are also entitled to the fundamental rights contained in the Bill of Rights to the extent that these rights are applicable to them. It must be kept in mind that juristic persons have peculiar ...

  16. NASA Trapezoidal Wing Simulation Using Stress-w and One- and Two-Equation Turbulence Models

    Science.gov (United States)

    Rodio, J. J.; Xiao, X; Hassan, H. A.; Rumsey, C. L.

    2014-01-01

    The Wilcox 2006 stress-omega model (also referred to as WilcoxRSM-w2006) has been implemented in the NASA Langley code CFL3D and used to study a variety of 2-D and 3-D configurations. It predicted a variety of basic cases reasonably well, including secondary flow in a supersonic rectangular duct. One- and two-equation turbulence models that employ the Boussinesq constitutive relation were unable to predict this secondary flow accurately because it is driven by normal turbulent stress differences. For the NASA trapezoidal wing at high angles of attack, the WilcoxRSM-w2006 model predicted lower maximum lift than experiment, similar to results of a two-equation model.

  17. Microscopic molecular dynamics characterization of the second-order non-Navier-Fourier constitutive laws in the Poiseuille gas flow

    Energy Technology Data Exchange (ETDEWEB)

    Rana, A.; Ravichandran, R. [School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju, Gyeongnam 52828 (Korea, Republic of); Park, J. H.; Myong, R. S., E-mail: myong@gnu.ac.kr [School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju, Gyeongnam 52828 (Korea, Republic of); Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, Gyeongnam 52828 (Korea, Republic of)

    2016-08-15

    The second-order non-Navier-Fourier constitutive laws, expressed in a compact algebraic mathematical form, were validated for the force-driven Poiseuille gas flow by the deterministic atomic-level microscopic molecular dynamics (MD). Emphasis is placed on how completely different methods (a second-order continuum macroscopic theory based on the kinetic Boltzmann equation, the probabilistic mesoscopic direct simulation Monte Carlo, and, in particular, the deterministic microscopic MD) describe the non-classical physics, and whether the second-order non-Navier-Fourier constitutive laws derived from the continuum theory can be validated using MD solutions for the viscous stress and heat flux calculated directly from the molecular data using the statistical method. Peculiar behaviors (non-uniform tangent pressure profile and exotic instantaneous heat conduction from cold to hot [R. S. Myong, “A full analytical solution for the force-driven compressible Poiseuille gas flow based on a nonlinear coupled constitutive relation,” Phys. Fluids 23(1), 012002 (2011)]) were re-examined using atomic-level MD results. It was shown that all three results were in strong qualitative agreement with each other, implying that the second-order non-Navier-Fourier laws are indeed physically legitimate in the transition regime. Furthermore, it was shown that the non-Navier-Fourier constitutive laws are essential for describing non-zero normal stress and tangential heat flux, while the classical and non-classical laws remain similar for shear stress and normal heat flux.

  18. The Constitutional Debate: A One Man Show? Václav Klaus and the Constitutional Discourse in the Czech Republic

    Czech Academy of Sciences Publication Activity Database

    Rakušanová, Petra

    2007-01-01

    Roč. 8, č. 8 (2007), s. 342-373 ISSN 1570-5854 Grant - others:VW Stiftung(DE) 218036 Institutional research plan: CEZ:AV0Z70280505 Keywords : European Constitutional Treaty * European constitutional ratification * Czech Republic Subject RIV: AO - Sociology, Demography

  19. A new constitutive model for prediction of springback in sheet metal forming

    International Nuclear Information System (INIS)

    Appiah, E.; Jain, M.

    2004-01-01

    With advances in computer capabilities, cost of sheet metal forming has being reducing mainly due to the reduction of trial and error approaches. At the moment, a complete process can be simulated on computer and appropriate forming conditions optimized before actual industrial forming process is carried out. While formability predictions have improved, the problem of springback exhibited by most metal, including aluminum alloy AA6111-T4, after forming persist and often leads to significant part fit-up problems during assembly. There are a number of factors that affect springback and perhaps the most significant one is constitutive equation. In this paper springback predicted by six advanced kinematic models are evaluated. In addition an improved constitutive kinematic model is presented. It is shown that by adding stress correction term (SCT) to Armstrong-Frederick model a relatively simple and yet accurate stress prediction could be obtained. The SCT was developed with the assumption that the yield surface remains convex, yield center depends on translation, size and shape variations of the yield surface. The model is implemented in a commercial finite element code (ABAQUS/Standard) via its user material interface (UMAT). Numerical simulations of U-bending were performed using automotive aluminum sheet material (AA6111-T4). It was noted that springback has inverse relationship with residual stress

  20. Ident 1D - a novel software tool for an easy identification of material constitutive parameters

    International Nuclear Information System (INIS)

    Le Ber, L.; Cotoni, V.; Nicola, L.; Sainte Catherine, C.

    1998-01-01

    Non-linear finite element computations make use of very sophisticated constitutive equations for description of materials behaviour. The first difficulty encountered by potential users is the gap existing between raw material characterisation on uniaxial specimens and the knowledge of the required equation's parameters. There are very few software for this particular task. IDENT 1D is a special software developed under Matlab language in our laboratory, which is able to provide a complete optimised parameters set for implemented models. The originality of IDENT 1D is that no initial estimation of the material parameters is requested of the user. Two main examples are described in this article: the Lemaitre and Chaboche creep law coupled with damage and a non unified cyclic law proposed by Contesti and Cailletaud with a separation of plastic and viscous strain terms which is called DDI model. For both laws, the identification method is completely described. Each method is then applied to a set of experimental data. In both cases, the results of the parameters identification show a very good agreement with experimental data. (authors)

  1. A Nano-indentation Identification Technique for Viscoelastic Constitutive Characteristics of Periodontal Ligaments.

    Science.gov (United States)

    Ashrafi, H; Shariyat, M

    2016-06-01

    Nano-indentation has recently been employed as a powerful tool for determining the mechanical properties of biological tissues on nano and micro scales. A majority of soft biological tissues such as ligaments and tendons exhibit viscoelastic or time-dependent behaviors. The constitutive characterization of soft tissues is among very important subjects in clinical medicine and especially, biomechanics fields. Periodontal ligament plays an important role in initiating tooth movement when loads are applied to teeth with orthodontic appliances. It is also the most accessible ligament in human body as it can be directly manipulated without any surgical intervention. From a mechanical point of view, this ligament can be considered as a thin interface made by a solid phase, consisting mainly of collagen fibers, which is immersed into a so-called ground substance. However, the viscoelastic constitutive effects of biological tissues are seldom considered rigorous during Nano-indentation tests. In the present paper, a mathematical contact approach is developed to enable determining creep compliance and relaxation modulus of distinct periodontal ligaments, using constant-rate indentation and loading time histories, respectively. An adequate curve-fitting method is presented to determine these characteristics based on the Nano-indentation of rigid Berkovich tips. Generalized Voigt-Kelvin and Wiechert models are used to model constitutive equations of periodontal ligaments, in which the relaxation and creep functions are represented by series of decaying exponential functions of time. Time-dependent creep compliance and relaxation function have been obtained for tissue specimens of periodontal ligaments. To improve accuracy, relaxation and creep moduli are measured from two tests separately. Stress relaxation effects appear more rapidly than creep in the periodontal ligaments.

  2. A Nano-indentation Identification Technique for Viscoelastic Constitutive Characteristics of Periodontal Ligaments

    Science.gov (United States)

    Ashrafi, H.; Shariyat, M.

    2016-01-01

    Introduction Nano-indentation has recently been employed as a powerful tool for determining the mechanical properties of biological tissues on nano and micro scales. A majority of soft biological tissues such as ligaments and tendons exhibit viscoelastic or time-dependent behaviors. The constitutive characterization of soft tissues is among very important subjects in clinical medicine and especially, biomechanics fields. Periodontal ligament plays an important role in initiating tooth movement when loads are applied to teeth with orthodontic appliances. It is also the most accessible ligament in human body as it can be directly manipulated without any surgical intervention. From a mechanical point of view, this ligament can be considered as a thin interface made by a solid phase, consisting mainly of collagen fibers, which is immersed into a so-called ground substance. However, the viscoelastic constitutive effects of biological tissues are seldom considered rigorous during Nano-indentation tests. Methods In the present paper, a mathematical contact approach is developed to enable determining creep compliance and relaxation modulus of distinct periodontal ligaments, using constant–rate indentation and loading time histories, respectively. An adequate curve-fitting method is presented to determine these characteristics based on the Nano-indentation of rigid Berkovich tips. Generalized Voigt-Kelvin and Wiechert models are used to model constitutive equations of periodontal ligaments, in which the relaxation and creep functions are represented by series of decaying exponential functions of time. Results Time-dependent creep compliance and relaxation function have been obtained for tissue specimens of periodontal ligaments. Conclusion To improve accuracy, relaxation and creep moduli are measured from two tests separately. Stress relaxation effects appear more rapidly than creep in the periodontal ligaments. PMID:27672630

  3. A Time Marching Scheme for Solving Volume Integral Equations on Nonlinear Scatterers

    KAUST Repository

    Bagci, Hakan

    2015-01-07

    Transient electromagnetic field interactions on inhomogeneous penetrable scatterers can be analyzed by solving time domain volume integral equations (TDVIEs). TDVIEs are oftentimes solved using marchingon-in-time (MOT) schemes. Unlike finite difference and finite element schemes, MOT-TDVIE solvers require discretization of only the scatterers, do not call for artificial absorbing boundary conditions, and are more robust to numerical phase dispersion. On the other hand, their computational cost is high, they suffer from late-time instabilities, and their implicit nature makes incorporation of nonlinear constitutive relations more difficult. Development of plane-wave time-domain (PWTD) and FFT-based schemes has significantly reduced the computational cost of the MOT-TDVIE solvers. Additionally, latetime instability problem has been alleviated for all practical purposes with the development of accurate integration schemes and specially designed temporal basis functions. Addressing the third challenge is the topic of this presentation. I will talk about an explicit MOT scheme developed for solving the TDVIE on scatterers with nonlinear material properties. The proposed scheme separately discretizes the TDVIE and the nonlinear constitutive relation between electric field intensity and flux density. The unknown field intensity and flux density are expanded using half and full Schaubert-Wilton-Glisson (SWG) basis functions in space and polynomial temporal interpolators in time. The resulting coupled system of the discretized TDVIE and constitutive relation is integrated in time using an explicit P E(CE) m scheme to yield the unknown expansion coefficients. Explicitness of time marching allows for straightforward incorporation of the nonlinearity as a function evaluation on the right hand side of the coupled system of equations. Consequently, the resulting MOT scheme does not call for a Newton-like nonlinear solver. Numerical examples, which demonstrate the applicability

  4. A Time Marching Scheme for Solving Volume Integral Equations on Nonlinear Scatterers

    KAUST Repository

    Bagci, Hakan

    2015-01-01

    Transient electromagnetic field interactions on inhomogeneous penetrable scatterers can be analyzed by solving time domain volume integral equations (TDVIEs). TDVIEs are oftentimes solved using marchingon-in-time (MOT) schemes. Unlike finite difference and finite element schemes, MOT-TDVIE solvers require discretization of only the scatterers, do not call for artificial absorbing boundary conditions, and are more robust to numerical phase dispersion. On the other hand, their computational cost is high, they suffer from late-time instabilities, and their implicit nature makes incorporation of nonlinear constitutive relations more difficult. Development of plane-wave time-domain (PWTD) and FFT-based schemes has significantly reduced the computational cost of the MOT-TDVIE solvers. Additionally, latetime instability problem has been alleviated for all practical purposes with the development of accurate integration schemes and specially designed temporal basis functions. Addressing the third challenge is the topic of this presentation. I will talk about an explicit MOT scheme developed for solving the TDVIE on scatterers with nonlinear material properties. The proposed scheme separately discretizes the TDVIE and the nonlinear constitutive relation between electric field intensity and flux density. The unknown field intensity and flux density are expanded using half and full Schaubert-Wilton-Glisson (SWG) basis functions in space and polynomial temporal interpolators in time. The resulting coupled system of the discretized TDVIE and constitutive relation is integrated in time using an explicit P E(CE) m scheme to yield the unknown expansion coefficients. Explicitness of time marching allows for straightforward incorporation of the nonlinearity as a function evaluation on the right hand side of the coupled system of equations. Consequently, the resulting MOT scheme does not call for a Newton-like nonlinear solver. Numerical examples, which demonstrate the applicability

  5. Genesis of the constitutionality and statehood of the Republic of Srpska: Constitutional acts in Bosnia and Herzegovina in 1990 and 1991

    Directory of Open Access Journals (Sweden)

    Nešković Radomir

    2012-01-01

    Full Text Available Constitutional (statehood or foundation acts are those on which the establishment of a state is founded. These acts determine its statehood entities (part-owners of the state in which the foundations of state organization are defined. All other authorities (legislative, executive and administrative, and judicial are extracted from constitutional acts which are synthesized in the Constitution as the highest political and legal act. Constitutional acts in Bosnia and Herzegovina in the abovementioned period influenced each other as the domino effect, since one act caused the adoption of another, thus, each state-building act had the cause and consequence feature. Constitutional act of representatives of a nation caused the adoption of a similar act among representatives of another nation, which resulted in the statehood authority losing its unique character and being 'torn apart' into three national state-building authorities. In this text we mention the basic constitutional acts preceding the establishment of the Assembly of the Serb People in Bosnia and Herzegovina.

  6. James Madison's "Public" As Interpreter of the Constitution.

    Science.gov (United States)

    Dewey, Donald O.

    James Madison's thoughts on various interpretations of the Constitution maintain that public opinion is the ultimate method of legitimizing the document. The Constitution must prevail against mere public opinion, but public opinion may be used to establish the meaning of the Constitution when conflicting interpretations exist. The public good and…

  7. A Communicatively Constituted Online Crisis

    DEFF Research Database (Denmark)

    Valentini, Chiara; Romenti, Stefania; Kruckeberg, Dean

    2017-01-01

    into specific public crisis perceptions. Drawing from a communicative constitution perspective, the authors argue that if crises are perceptions or experiences of difficult situations that exceed a person’s current resources and coping mechanisms, and if perceptions and experiences in social media are typically...... by offering suggestions on how to study online critical conversations through the lens of a communicative constitution perspective that could inform how critical issues eventually transform and become crises and how crisis perceptions evolve and are discursively shaped by communicative practices occurring...

  8. Health care law versus constitutional law.

    Science.gov (United States)

    Hall, Mark A

    2013-04-01

    National Federation of Independent Business v. Sebelius, the Supreme Court's ruling on the Patient Protection and Affordable Care Act, is a landmark decision - both for constitutional law and for health care law and policy. Others will study its implications for constitutional limits on a range of federal powers beyond health care. This article considers to what extent the decision is also about health care law, properly conceived. Under one view, health care law is the subdiscipline that inquires how courts and government actors take account of the special features of medicine that make legal or policy issues especially problematic - rather than regarding health care delivery and finance more generically, like most any other economic or social enterprise. Viewed this way, the opinions from the Court's conservative justices are mainly about general constitutional law principles. In contrast, Justice Ruth Bader Ginsburg's dissenting opinion for the four more liberal justices is just as much about health care law as it is about constitutional law. Her opinion gives detailed attention to the unique features of health care finance and delivery in order to inform her analysis of constitutional precedents and principles. Thus, the Court's multiple opinions give a vivid depiction of the compelling contrasts between communal versus individualistic conceptions of caring for those in need, and between health care and health insurance as ordinary commodities versus ones that merit special economic, social, and legal status.

  9. On the Representation of Aquifer Compressibility in General Subsurface Flow Codes: How an Alternate Definition of Aquifer Compressibility Matches Results from the Groundwater Flow Equation

    Science.gov (United States)

    Birdsell, D.; Karra, S.; Rajaram, H.

    2017-12-01

    The governing equations for subsurface flow codes in deformable porous media are derived from the fluid mass balance equation. One class of these codes, which we call general subsurface flow (GSF) codes, does not explicitly track the motion of the solid porous media but does accept general constitutive relations for porosity, density, and fluid flux. Examples of GSF codes include PFLOTRAN, FEHM, STOMP, and TOUGH2. Meanwhile, analytical and numerical solutions based on the groundwater flow equation have assumed forms for porosity, density, and fluid flux. We review the derivation of the groundwater flow equation, which uses the form of Darcy's equation that accounts for the velocity of fluids with respect to solids and defines the soil matrix compressibility accordingly. We then show how GSF codes have a different governing equation if they use the form of Darcy's equation that is written only in terms of fluid velocity. The difference is seen in the porosity change, which is part of the specific storage term in the groundwater flow equation. We propose an alternative definition of soil matrix compressibility to correct for the untracked solid velocity. Simulation results show significantly less error for our new compressibility definition than the traditional compressibility when compared to analytical solutions from the groundwater literature. For example, the error in one calculation for a pumped sandstone aquifer goes from 940 to <70 Pa when the new compressibility is used. Code users and developers need to be aware of assumptions in the governing equations and constitutive relations in subsurface flow codes, and our newly-proposed compressibility function should be incorporated into GSF codes.

  10. Development of a Generalized Version of the Poisson-Nernst-Planck Equations Using the Hybrid Mixture Theory: Presentation of 2D Numerical Examples

    DEFF Research Database (Denmark)

    Johannesson, Björn

    2010-01-01

    A numerical scheme for the transient solution of generalized version of the Poisson-Nernst-Planck equations is presented. The finite element method is used to establish the coupled non-linear matrix system of equations capable of solving the present problem iteratively. The Poisson......-scale and that it includes the volume fractions of phases in its structure. The background to the Poisson-Nernst-Planck equations can by the HMT approach be described by using the postulates of mass conservation of constituents together with the Gauss’ law used together with consistent constitutive laws. The HMT theory......-Nernst-Planck equations represent a set of diffusion equations for charged species, i.e. dissolved ions. These equations are coupled to the ‘internally’ induced electrical field and to the velocity field of the fluid. The Nernst-Planck equations describing the diffusion of the ionic species and the Gauss’ law in used are...

  11. Possibilities for a constitutional embodiment of environment protection

    International Nuclear Information System (INIS)

    Hattenberger, D.

    1991-03-01

    The main topic is the question of adequacy and desirability of a constitutional rule for the protection of the environment with regard to the specific Austrian situation and the extensive discussion about this topic in German. As variants are discussed a human right of environment, objective categories of constitutional rules (constitutional aims of state's policy) and procedural or organisational rules. It begins with an explanation of the general responsibility of states in the field of environment protection and a determination of the term 'environment '. In respect of a human right first already guaranteed rights are examined for their relevance in the field of conservation with regard to the change in the understanding of human rights. Then arguments pro and against a specific right to environment are mentioned and appraised. With regard to the counter-arguments a subjective right should not be incorporated. A revision of the present concept of human rights would be necessary. Similar arguments are mentioned against the constitution of an objective norm in respect of some judicial decisions of the Austrian Constitutional Court. The problem of the protection of the environment will not be solved with a constitutional rule. It would raise new problems, which would damage the constitution as a fundamental order of human living together. (author)

  12. Constitutional Provisions on the Press: A World View.

    Science.gov (United States)

    Paraschos, Manny

    A study examined the legal treatment of the press in constitutions or other basic legal institutional documents from around the world. Sixty-three constitutions or basic documents from the Western World, the Communist Bloc, the Middle East, Africa, Southeast Asia, and Latin America were analyzed. Analysis revealed that most constitutions open with…

  13. Theoretical (dis-) position and strategic leitmotivs in constitutional ...

    African Journals Online (AJOL)

    This essay takes a look at the historic restoration that bequeathed this country and its people a prototypical, justiciable Constitution. The advent of constitutional democracy in South Africa went hand in hand with an about-turn in the interpretation of enacted law-texts (including the Constitution) and a critical interrogation of ...

  14. p-Euler equations and p-Navier-Stokes equations

    Science.gov (United States)

    Li, Lei; Liu, Jian-Guo

    2018-04-01

    We propose in this work new systems of equations which we call p-Euler equations and p-Navier-Stokes equations. p-Euler equations are derived as the Euler-Lagrange equations for the action represented by the Benamou-Brenier characterization of Wasserstein-p distances, with incompressibility constraint. p-Euler equations have similar structures with the usual Euler equations but the 'momentum' is the signed (p - 1)-th power of the velocity. In the 2D case, the p-Euler equations have streamfunction-vorticity formulation, where the vorticity is given by the p-Laplacian of the streamfunction. By adding diffusion presented by γ-Laplacian of the velocity, we obtain what we call p-Navier-Stokes equations. If γ = p, the a priori energy estimates for the velocity and momentum have dual symmetries. Using these energy estimates and a time-shift estimate, we show the global existence of weak solutions for the p-Navier-Stokes equations in Rd for γ = p and p ≥ d ≥ 2 through a compactness criterion.

  15. Unconstitutional constitutional amendments in Ethiopia: the practice ...

    African Journals Online (AJOL)

    Haramaya Law Review ... The Constitution of the Federal Democratic Republic of Ethiopia (FDRE) under Article 104 and 105 sets ... that sets procedures to be observed in the process of constitutional amendments: both initiation and approval.

  16. Equating error in observed-score equating

    NARCIS (Netherlands)

    van der Linden, Willem J.

    2006-01-01

    Traditionally, error in equating observed scores on two versions of a test is defined as the difference between the transformations that equate the quantiles of their distributions in the sample and population of test takers. But it is argued that if the goal of equating is to adjust the scores of

  17. New Constitutionalism for Biosiversity vs. Neoconstitutionalism of Risk

    Directory of Open Access Journals (Sweden)

    Michele Carducci

    2016-08-01

    Full Text Available http://dx.doi.org/10.5007/2177-7055.2016v37n73p255 Based on an “eco-systemic” democracy that seeks to preserve biodiversity through the recognition of the co-evolutionary link between nature and culture, the Andean Constitutionalism emerges as the expression of a counter-hegemonic constitutionalism committed to the construction of a new institutional framework through the inclusion of new participatory and intercultural mechanisms. Departing from western constitutional paradigms, this groundbreaking constitutionalism revisits the “Gaia hypothesis” and legitimizes a real “social contract” among the people and nature, and instead of considering it as an “object” of ownership, exploitation, or conservation, it regards nature as a legal “subject” and primary source of society itself and the Constitution as its “legal grantor and protector”.

  18. Rights of Minors and Constitutional Politics in the German Länder. Legal Framework, Party Strategies, and Constitutional Amendments

    Directory of Open Access Journals (Sweden)

    Lorenz Astrid

    2015-11-01

    Full Text Available The article analyses constitutional politics in the German Länder in the field of minors’ rights. Since this issue seems a purely legal matter dealt with at the federal, European and international level, we should expect similar, almost identically shaped policies at the Länder level. However, the analysis brings considerable variations of constitutional activities in this field to the fore: time, frequency, and contents of respective initiatives vary significantly in the period from 1999 to 2014. These variations were due to different party strategies, diverging party platforms and majority constellations in the Länder. The analysis also shows that the public arguments brought forward in favour of constitutional amendments refer only weakly and randomly to legal provisions and processes at other levels. The political debate supporting extended children's rights rather refers to general observations, to the specific regional context, and constitutional provisions in other Länder. At least with regard to this issue, the multi-level system did not systematically impact on constitutional politics in the Länder. It rather can be understood as an opportunity structure providing parties with multiple realms in which they can pursue their goals. Thus the study shows that federal and regional party strategies are key factors in explaining policy diffusion in multilevel systems.

  19. Approximate method for solving the velocity dependent transport equation in a slab lattice

    International Nuclear Information System (INIS)

    Ferrari, A.

    1966-01-01

    A method is described that is intended to provide an approximate solution of the transport equation in a medium simulating a water-moderated plate filled reactor core. This medium is constituted by a periodic array of water channels and absorbing plates. The velocity dependent transport equation in slab geometry is included. The computation is performed in a water channel: the absorbing plates are accounted for by the boundary conditions. The scattering of neutrons in water is assumed isotropic, which allows the use of a double Pn approximation to deal with the angular dependence. This method is able to represent the discontinuity of the angular distribution at the channel boundary. The set of equations thus obtained is dependent only on x and v and the coefficients are independent on x. This solution suggests to try solutions involving Legendre polynomials. This scheme leads to a set of equations v dependent only. To obtain an explicit solution, a thermalization model must now be chosen. Using the secondary model of Cadilhac a solution of this set is easy to get. The numerical computations were performed with a particular secondary model, the well-known model of Wigner and Wilkins. (author) [fr

  20. Constitutional and acquired autosomal aneuploidy.

    Science.gov (United States)

    Jackson-Cook, Colleen

    2011-12-01

    Chromosomal imbalances can result from numerical or structural anomalies. Numerical chromosomal abnormalities are often referred to as aneuploid conditions. This article focuses on the occurrence of constitutional and acquired autosomal aneuploidy in humans. Topics covered include frequency, mosaicism, phenotypic findings, and etiology. The article concludes with a consideration of anticipated advances that might allow for the development of screening tests and/or lead to improvements in our understanding and management of the role that aneuploidy plays in the aging process and acquisition of age-related and constitutional conditions.

  1. A 3D finite-strain-based constitutive model for shape memory alloys accounting for thermomechanical coupling and martensite reorientation

    Science.gov (United States)

    Wang, Jun; Moumni, Ziad; Zhang, Weihong; Xu, Yingjie; Zaki, Wael

    2017-06-01

    The paper presents a finite-strain constitutive model for shape memory alloys (SMAs) that accounts for thermomechanical coupling and martensite reorientation. The finite-strain formulation is based on a two-tier, multiplicative decomposition of the deformation gradient into thermal, elastic, and inelastic parts, where the inelastic deformation is further split into phase transformation and martensite reorientation components. A time-discrete formulation of the constitutive equations is proposed and a numerical integration algorithm is presented featuring proper symmetrization of the tensor variables and explicit formulation of the material and spatial tangent operators involved. The algorithm is used for finite element analysis of SMA components subjected to various loading conditions, including uniaxial, non-proportional, isothermal and adiabatic loading cases. The analysis is carried out using the FEA software Abaqus by means of a user-defined material subroutine, which is then utilized to simulate a SMA archwire undergoing large strains and rotations.

  2. Urgency of Attorney Governed by the Constitution

    Directory of Open Access Journals (Sweden)

    Rommy Patra

    2015-12-01

    Full Text Available Attorney existence in the Indonesian constitutional structure has a dilemma for this position. On one side is the Prosecutor’s law enforcement agencies to exercise power independently prosecution while on the other hand is part of a government institution under Law No. 16 of 2004 regarding the Attorney. The position of Attorney as an institution of government has been led to the independence of the Prosecutor is not optimal so that it appears stigma that the Prosecutor merely as a tool of the ruling power. In addition the terms of the arrangement just under the Act, the Attorney General has no legal standing as a constitutional organ that has the constitutional authority so that the current position does not reflect the urgency of its duties and functions. In an effort to organize the next Attorney institutions should be regulated directly by the Constitution. It is intended to make the Attorney as part of the main state organs have the same legal standing as other law enforcement agencies, the police and the courts (Supreme Court and Constitutional Court. As well as to strengthen and clarify the position as a state institution, prosecution authorities are focusing on the Attorney as central of authority, to fix the institutional relations between the members of law enforcement and related agencies and strengthen the independence of the Prosecutor in performing the function of prosecution in the constitutional structure of Indonesia.

  3. The foundational tenets of Johannes Althusius' constitutionalism ...

    African Journals Online (AJOL)

    Potchefstroom Electronic Law Journal/Potchefstroomse Elektroniese Regsblad ... sovereignty, in contrast to undivided (statist) sovereignty and his views on public office provided the framework for constitutionalism and limited government which could arguably improve on that of contemporary statist constitutionalism.

  4. Nuclear phase-out a part of the German Constitution? On the political grammar of constitutional changes

    International Nuclear Information System (INIS)

    Gaerditz, Klaus Ferdinand

    2016-01-01

    The study examines whether and to what extent the simple legal effected nuclear phase-out could be safeguarded in the Basic Law, which regulatory methods would be available, the advantages and disadvantages of these and how their effects would be assessed. In addition to political and practical consequences, this also includes considerations of democracy and constitutional theory in an overall consideration, which ultimately touches the question of the regulatory function of constitutional changes. [de

  5. Constitutive behavior of reconsolidating crushed salt

    International Nuclear Information System (INIS)

    Callahan, G.D.; Mellegard, K.D.; Hansen, F.D.

    1998-02-01

    The constitutive model used to describe deformation of crushed salt is presented in this paper. Two mechanisms--dislocation creep and grain boundary diffusional pressure solutioning--are combined to form the basis for the constitutive model governing deformation of crushed salt. The constitutive model is generalized to represent three-dimensional states of stress. Recently completed creep consolidation tests are combined with an existing database that includes hydrostatic consolidation and shear consolidation tests conducted on Waste Isolation Pilot Plant (WIPP) and southeastern New Mexico salt to determine material parameters for the constitutive model. Nonlinear least-squares model fitting to data from shear consolidation tests and a combination of shear and hydrostatic tests produces two sets of material parameter values for the model. Changes in material parameter values from test group to test group indicate the empirical nature of the model but show significant improvement over earlier work. To demonstrate the predictive capability of the model, each parameter value set was used to predict each of the tests in the database. Based on fitting statistics and ability of the model to predict test data, the model appears to capture the creep consolidation behavior of crushed salt quite well

  6. Solution of Euler unsteady equations using a second order numerical scheme

    International Nuclear Information System (INIS)

    Devos, J.P.

    1992-08-01

    In thermal power plants, the steam circuits experience incidents due to the noise and vibration induced by trans-sonic flow. In these configurations, the compressible fluid can be considered the perfect ideal. Euler equations therefore constitute a good model. However, processing of the discontinuities induced by the shockwaves are a particular problem. We give a bibliographical synthesis of the work done on this subject. The research by Roe and Harten leads to TVD (Total Variation Decreasing) type schemes. These second order schemes generate no oscillation and converge towards physically acceptable weak solutions. (author). 12 refs

  7. Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity

    International Nuclear Information System (INIS)

    An, Hongli; Yuen, Manwai

    2014-01-01

    In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the Navier-Stokes model wherein the velocity components are governed by a generalized Emden dynamical system. In particular, when the viscosity variables are taken the same as Yuen [M. W. Yuen, “Analytical solutions to the Navier-Stokes equations,” J. Math. Phys. 49, 113102 (2008)], our solutions constitute a generalization of that obtained by Yuen. Interestingly, numerical simulations show that the analytical solutions can be used to explain the drifting phenomena of the propagation wave like Tsunamis in oceans

  8. National Constitutional Avenues for Further EU Integration

    NARCIS (Netherlands)

    Besselink, L.F.M.; Claes, M.; Imamovic, Š.; Reestman, J.H.

    2014-01-01

    This study investigates national constitutional limits to further EU integration and explores ways to overcome them. It includes an in-depth examination of the constitutional systems of 12 Member States (Croatia, the Czech Republic, Estonia, Finland, France, Germany, Hungary, Ireland, Italy, the

  9. Constitutive properties of salt from four sites

    International Nuclear Information System (INIS)

    Pfeifle, T.W.; Mellegard, K.D.; Senseny, P.E.

    1983-04-01

    Results are presented from laboratory strength and creep tests performed on salt specimens from the Richton dome in Mississippi, the Vacherie dome in Louisiana, the Permian basin in Texas, and the Paradox basin in Utah. The constitutive properties obtained are the elastic moduli and the failure envelope at 24 0 C and parameter values for the baseline creep law. Some additional data are presented to indicate how the elastic moduli and strength change with temperature. The constitutive properties given in this report and subsequent numerical simulations will serve as input to the screening of site locations for a nuclear-waste repository. The matrix of tests performed is the minimum effort required to obtain these constitutive properties. Comparison of results with those obtained for sites that have been characterized in greater detail suggests that the constitutive parameter values obtained are adequate for site-screening activity

  10. Constitutive Modeling of Geomaterials Advances and New Applications

    CERN Document Server

    Zhang, Jian-Min; Zheng, Hong; Yao, Yangping

    2013-01-01

    The Second International Symposium on Constitutive Modeling of Geomaterials: Advances and New Applications (IS-Model 2012), is to be held in Beijing, China, during October 15-16, 2012. The symposium is organized by Tsinghua University, the International Association for Computer Methods and Advances in Geomechanics (IACMAG), the Committee of Numerical and Physical Modeling of Rock Mass, Chinese Society for Rock Mechanics and Engineering, and the Committee of Constitutive Relations and Strength Theory, China Institution of Soil Mechanics and Geotechnical Engineering, China Civil Engineering Society. This Symposium follows the first successful International Workshop on Constitutive Modeling held in Hong Kong, which was organized by Prof. JH Yin in 2007.   Constitutive modeling of geomaterials has been an active research area for a long period of time. Different approaches have been used in the development of various constitutive models. A number of models have been implemented in the numerical analyses of geote...

  11. Competition And Antitrust Law In Ecuadorian Constitution

    Directory of Open Access Journals (Sweden)

    Marcelo Marín Sevilla

    2013-01-01

    Full Text Available This work allows us to establish the Economic Constitution and the Competition Law (C.L in the Constitution. Additionally, the paper analyzes whether the rules outlined in the C. L. and in doctrine are consistent and appropriate with the Constitution of Ecuador. The Competition and Antitrust Laws has rules for investigating and punishing the cartels, the abuses of power market (dominant position, the rules for merger control, the behaviors of Abuse of economic dependence, and unfair competition behaviors. Always the Antitrust Authority will analyze these behaviors in terms of welfare of both: the consumer and the market.

  12. A History of constitutive modeling via molecular dynamics: Shock waves in fluids and gases

    Directory of Open Access Journals (Sweden)

    Holian B.L.

    2011-01-01

    Full Text Available From its inception in the mid-Fifties, the method of molecular-dynamics (MD computer simulations has been used to probe the foundations of statistical mechanics, first for equilibrium equation-of-state averages, and then for transport properties from equilibrium fluctuations. Traditional statistical mechanical theoreticians were shocked to see that this new-fangled computational physics approach was feasible, even with incredibly tiny samples (on the order of a hundred atoms. When direct measurement of transport coefficients by non-equilibrium molecular dynamics (NEMD was proposed in the early Seventies, even greater resistance was encountered from the traditionalists – though evidence for convergence with the equilibrium fluctuation method gradually accumulated. In the late Seventies and early Eighties, shock-wave simulations by NEMD made it possible to test directly the principal continuum constitutive theory for fluids, namely, Navier-Stokes viscous flow and Fourier’s Law of heat conduction. To everyone’s surprise – and the consternation of many – NEMD, once again, demonstrated that continuum theory applies at embarrassingly small (atomistic time and length scales. We pursue this early line of work into the modern era, showing how NEMD shock-wave simulations can still provide surprising insights and improvements upon our understanding of constitutive modeling.

  13. Finite element implementation of a thermo-damage-viscoelastic constitutive model for hydroxyl-terminated polybutadiene composite propellant

    Science.gov (United States)

    Xu, Jinsheng; Han, Long; Zheng, Jian; Chen, Xiong; Zhou, Changsheng

    2017-11-01

    A thermo-damage-viscoelastic model for hydroxyl-terminated polybutadiene (HTPB) composite propellant with consideration for the effect of temperature was implemented in ABAQUS. The damage evolution law of the model has the same form as the crack growth equation for viscoelastic materials, and only a single damage variable S is considered. The HTPB propellant was considered as an isotropic material, and the deviatoric and volumetric strain-stress relations are decoupled and described by the bulk and shear relaxation moduli, respectively. The stress update equations were expressed by the principal stresses σ_{ii}R and the rotation tensor M, the Jacobian matrix in the global coordinate system J_{ijkl} was obtained according to the fourth-order tensor transformation rules. Two models having complex stress states were used to verify the accuracy of the constitutive model. The test results showed good agreement with the strain responses of characteristic points measured by a contactless optical deformation test system, which illustrates that the thermo-damage-viscoelastic model perform well at describing the mechanical properties of an HTPB propellant.

  14. Mathematical Modeling of Uniaxial Mechanical Properties of Collagen Gel Scaffolds for Vascular Tissue Engineering

    Directory of Open Access Journals (Sweden)

    Ramiro M. Irastorza

    2015-01-01

    Full Text Available Small diameter tissue-engineered arteries improve their mechanical and functional properties when they are mechanically stimulated. Applying a suitable stress and/or strain with or without a cycle to the scaffolds and cells during the culturing process resides in our ability to generate a suitable mechanical model. Collagen gel is one of the most used scaffolds in vascular tissue engineering, mainly because it is the principal constituent of the extracellular matrix for vascular cells in human. The mechanical modeling of such a material is not a trivial task, mainly for its viscoelastic nature. Computational and experimental methods for developing a suitable model for collagen gels are of primary importance for the field. In this research, we focused on mechanical properties of collagen gels under unconfined compression. First, mechanical viscoelastic models are discussed and framed in the control system theory. Second, models are fitted using system identification. Several models are evaluated and two nonlinear models are proposed: Mooney-Rivlin inspired and Hammerstein models. The results suggest that Mooney-Rivlin and Hammerstein models succeed in describing the mechanical behavior of collagen gels for cyclic tests on scaffolds (with best fitting parameters 58.3% and 75.8%, resp.. When Akaike criterion is used, the best is the Mooney-Rivlin inspired model.

  15. Mathematical modeling of uniaxial mechanical properties of collagen gel scaffolds for vascular tissue engineering.

    Science.gov (United States)

    Irastorza, Ramiro M; Drouin, Bernard; Blangino, Eugenia; Mantovani, Diego

    2015-01-01

    Small diameter tissue-engineered arteries improve their mechanical and functional properties when they are mechanically stimulated. Applying a suitable stress and/or strain with or without a cycle to the scaffolds and cells during the culturing process resides in our ability to generate a suitable mechanical model. Collagen gel is one of the most used scaffolds in vascular tissue engineering, mainly because it is the principal constituent of the extracellular matrix for vascular cells in human. The mechanical modeling of such a material is not a trivial task, mainly for its viscoelastic nature. Computational and experimental methods for developing a suitable model for collagen gels are of primary importance for the field. In this research, we focused on mechanical properties of collagen gels under unconfined compression. First, mechanical viscoelastic models are discussed and framed in the control system theory. Second, models are fitted using system identification. Several models are evaluated and two nonlinear models are proposed: Mooney-Rivlin inspired and Hammerstein models. The results suggest that Mooney-Rivlin and Hammerstein models succeed in describing the mechanical behavior of collagen gels for cyclic tests on scaffolds (with best fitting parameters 58.3% and 75.8%, resp.). When Akaike criterion is used, the best is the Mooney-Rivlin inspired model.

  16. equateIRT: An R Package for IRT Test Equating

    Directory of Open Access Journals (Sweden)

    Michela Battauz

    2015-12-01

    Full Text Available The R package equateIRT implements item response theory (IRT methods for equating different forms composed of dichotomous items. In particular, the IRT models included are the three-parameter logistic model, the two-parameter logistic model, the one-parameter logistic model and the Rasch model. Forms can be equated when they present common items (direct equating or when they can be linked through a chain of forms that present common items in pairs (indirect or chain equating. When two forms can be equated through different paths, a single conversion can be obtained by averaging the equating coefficients. The package calculates direct and chain equating coefficients. The averaging of direct and chain coefficients that link the same two forms is performed through the bisector method. Furthermore, the package provides analytic standard errors of direct, chain and average equating coefficients.

  17. The European Constitution: sovereignty, legitimacy and constituent power

    Directory of Open Access Journals (Sweden)

    Signe Larsen

    2014-06-01

    Full Text Available On the basis of Hannah Arendt’s and Carl Schmitt’s writings on the constituent power, this article sets out to develop an interpretative framework which would aid the understanding of the legitimation crisis of European integration initiated by the EU constitutional failure of 2004. The question raised in this essay is whether the successful establishment of democratic constitutional legitimacy is conditional upon the existence of a federal state. From the perspective of the constituent power, two opposing answers are given based on two rivalling notions of the ultimate meaning of constitutional politics: freedom and security. The article concludes that even though the EU as a case remains undecided, it seems likely that democracy and constitutional politics have parted ways in the EU both in the Arendtian and in the Schmittian sense. If that is the case, the constitutional crisis is a serious problem for the future of democracy in the EU.

  18. The Australian Constitution and the Aid/Watch Case

    Directory of Open Access Journals (Sweden)

    George Williams

    2011-11-01

    Full Text Available The Australian Constitution played a significant role in underpinning the result in the Aid/Watch Case. It was invoked by the majority to support their conclusion that a body can be a ‘charitable institution’ despite engaging in political activities. The use of the Constitution in this way came as a surprise. The case extended an existing constitutional principle relating to freedom of political communication from its electoral base into the protection of the political activities of non-government organisations. This may have future ramifications for those organisations in other areas, as well as further implications for the development of what it means to be a charity in Australia. This article examines the use of the Australian Constitution in the Aid/Watch Case. It explains how the High Court was able to invoke the Constitution in defining what it means to be a ‘charitable institution’. It also examines the implications of that reasoning for the development of charitable law in Australia.

  19. A constitutive description of the thermo-viscoplastic behavior of body-centered cubic metals

    International Nuclear Information System (INIS)

    Gao, C.Y.; Lu, W.R.; Zhang, L.C.; Yan, H.X.

    2012-01-01

    Highlights: ► Established a new physics-based constitutive model for the plasticity of BCC crystals. ► The new model is better than the R–K, Abed, Z–A and J–C models. ► The new model is simpler and easier to use than the original MTS model. ► The material parameters are determined by a global optimization algorithm. ► Provided a precise description of the flow stress of HSLA-65 steel as well as Tantalum. -- Abstract: The Johnson–Cook (J–C) equation, which is obtained from the phenomenological observations of experimental data at relatively low strain rates, cannot well describe the dynamic thermo-mechanical response of many materials at high strain rates, especially under the situations of high or low temperatures. This paper develops a new physics-based model for the constitutive description of BCC metals through a thermal activation analysis of the dislocation motion in the plastic deformation of crystalline materials with the use of the mechanical threshold stress (MTS) as an internal state variable. It was found that the new model can effectively reflect the plastic deformation mechanism of BCC crystals because it directly relates the macroscopic state variables in the constitutive model with the micromechanical characteristics of materials. The material parameters of the model are efficiently determined by an optimization method to guarantee that the material parameters are globally optimal in their theoretically allowed ranges. The application of the model to HSLA-65 steel and Tantalum shows that it is much easier to apply than the MTS model, that its flow stress predictions are better than the Rusinek and Klepaczko (R–K), Abed, Zerilli and Armstrong (Z–A) and J–C models, and that the present model predictions are in good agreement with the experimental data in a broad range of strain rate, temperature and strain.

  20. Public and Constitutional Support for Character Education.

    Science.gov (United States)

    Vessels, Gordon G.; Boyd, Stephen M.

    1996-01-01

    Character education thrives on an informed understanding of constitutional principles and an inclusive commitment-building process. U.S. Supreme Court opinions that clarify public school students' free speech rights have established values education as a constitutionally acceptable practice. Challenges might lie in possible violations of the First…

  1. What constitutes information integrity?

    Directory of Open Access Journals (Sweden)

    S. Flowerday

    2008-01-01

    Full Text Available This research focused on what constitutes information integrity as this is a problem facing companies today. Moreover, information integrity is a pillar of information security and is required in order to have a sound security management programme. However, it is acknowledged that 100% information integrity is not currently achievable due to various limitations and therefore the auditing concept of reasonable assurance is adopted. This is in line with the concept that 100% information security is not achievable and the notion that adequate security is the goal, using appropriate countermeasures. The main contribution of this article is to illustrate the importance of and provide a macro view of what constitutes information integrity. The findings are in harmony with Samuel Johnson's words (1751: 'Integrity without knowledge is weak and useless, and knowledge without integrity is dangerous and dreadful.'

  2. What constitutes information integrity?

    Directory of Open Access Journals (Sweden)

    S. Flowerday

    2007-12-01

    Full Text Available This research focused on what constitutes information integrity as this is a problem facing companies today. Moreover, information integrity is a pillar of information security and is required in order to have a sound security management programme. However, it is acknowledged that 100% information integrity is not currently achievable due to various limitations and therefore the auditing concept of reasonable assurance is adopted. This is in line with the concept that 100% information security is not achievable and the notion that adequate security is the goal, using appropriate countermeasures. The main contribution of this article is to illustrate the importance of and provide a macro view of what constitutes information integrity. The findings are in harmony with Samuel Johnson's words (1751: 'Integrity without knowledge is weak and useless, and knowledge without integrity is dangerous and dreadful.'

  3. Constitutive model for a stress- and thermal-induced phase transition in a shape memory polymer

    International Nuclear Information System (INIS)

    Guo, Xiaogang; Liu, Liwu; Liu, Yanju; Zhou, Bo; Leng, Jinsong

    2014-01-01

    Recently, increasing applications of shape memory polymers have pushed forward the development of appropriate constitutive models for smart materials such as the shape memory polymer. During the heating process, the phase transition, which is a continuous time-dependent process, happens in the shape memory polymer, and various individual phases will form at different configuration temperatures. In addition, these phases can generally be divided into two parts: the frozen and active phase (Liu Y et al 2006 Int. J. Plast. 22 279–313). During the heating or cooling process, the strain will be stored or released with the occurring phase transition between these two parts. Therefore, a shape memory effect emerges. In this paper, a new type of model was developed to characterize the variation of the volume fraction in a shape memory polymer during the phase transition. In addition to the temperature variation, the applied stress was also taken as a significant influence factor on the phase transition. Based on the experimental results, an exponential equation was proposed to describe the relationship between the stress and phase transition temperature. For the sake of describing the mechanical behaviors of the shape memory polymer, a three-dimensional constitutive model was established. Also, the storage strain, which was the key factor of the shape memory effect, was also discussed in detail. Similar to previous works, we first explored the effect of applied stress on storage strain. Through comparisons with the DMA and the creep experimental results, the rationality and accuracy of the new phase transition and constitutive model were finally verified. (paper)

  4. A unified dislocation density-dependent physical-based constitutive model for cold metal forming

    Science.gov (United States)

    Schacht, K.; Motaman, A. H.; Prahl, U.; Bleck, W.

    2017-10-01

    Dislocation-density-dependent physical-based constitutive models of metal plasticity while are computationally efficient and history-dependent, can accurately account for varying process parameters such as strain, strain rate and temperature; different loading modes such as continuous deformation, creep and relaxation; microscopic metallurgical processes; and varying chemical composition within an alloy family. Since these models are founded on essential phenomena dominating the deformation, they have a larger range of usability and validity. Also, they are suitable for manufacturing chain simulations since they can efficiently compute the cumulative effect of the various manufacturing processes by following the material state through the entire manufacturing chain and also interpass periods and give a realistic prediction of the material behavior and final product properties. In the physical-based constitutive model of cold metal plasticity introduced in this study, physical processes influencing cold and warm plastic deformation in polycrystalline metals are described using physical/metallurgical internal variables such as dislocation density and effective grain size. The evolution of these internal variables are calculated using adequate equations that describe the physical processes dominating the material behavior during cold plastic deformation. For validation, the model is numerically implemented in general implicit isotropic elasto-viscoplasticity algorithm as a user-defined material subroutine (UMAT) in ABAQUS/Standard and used for finite element simulation of upsetting tests and a complete cold forging cycle of case hardenable MnCr steel family.

  5. [Women, gender, and the Constitution].

    Science.gov (United States)

    1993-12-01

    Although all the constitutions of Latin America directly or indirectly acknowledge the juridical equality of the sexes, these patriarchal societies continue to maintain institutional power in male hands and to neutralize legal actions favoring women. International instruments such as the Convention on Elimination of All Forms of Discrimination Against Women, approved by the UN in 1979, have given a firmer basis to policies and actions to improve the status of women. Obstacles to full equality of Latin American women are rooted in economic and sociopolitical factors, but lack of true political will also plays a significant role. A number of new laws in the past several years as well as the new Constitution have improved the legal position of Colombian women. The new Constitution recognizes fundamental rights that may be claimed directly before a judge, and social, economic, and collective rights requiring legislative development. Article 43 of the new Constitution states that women will not be subjected to any form of discrimination. Another norm states that women will enjoy special assistance and protection before and after childbirth, in recognition of the social functions of maternity. Article 43 also states that women who are heads of households will receive special assistance, but the corresponding regulations have not yet been promulgated. The mechanism of tutelage has become an important recourse that has been used in several cases in which fundamental rights of women have been violated or threatened because of their sex. The order of tutelage has been used in cases of adolescents expelled from school for pregnancy and of abused wives, as well as to force recognition of the social and economic contributions of housework.

  6. constitutional adjudication in ethiopia

    African Journals Online (AJOL)

    eliasn

    2000-01-25

    Jan 25, 2000 ... Thus the seeds of what some authors call. “federal .... Pre-WWII Europe trusted its legislature and led to .... European and Civil Law Forum v. 11 ...... on the sovereignty of nationalities and the fact that language constitutes one.

  7. Islamization in Malaysia: the constitutional and legal dimensions

    OpenAIRE

    Choo, Kah Sing

    2017-01-01

    This thesis examines the legitimacy of the Islamization of the politics, society and law in Malaysia. The Islamization plan was carried out by the federal government in the early 1980s under the Mahathir administration. The legitimacy of the Islamization plan is measured against the original intent of the Independence Constitution, with particular reference to the position of Islam in the Constitution. Those constitutional provisions which have been claimed to have granted I...

  8. Clinical study on constitutional herbal tea for treating chronic fatigue.

    Science.gov (United States)

    Park, Soo-Jung; Bae, Young-Chun; Choi, Na-Rae; Ryu, Seung-Yeob; Kwon, Young-Mi; Joo, Jong-Cheon

    2014-12-01

    This study was designed to evaluate the efficacy and the safety of constitutional herbal tea for treating chronic fatigue with no diagnosed cause, which is called Mibyeong in Korea. Males and females with ages between 40 and 59 years who had complained of fatigue for 1 month consistently or for 6 months intermittently without a definite cause were recruited. At the same time, a Chalder fatigue scale (CFS) score of 19 was essential for participation in this study. Sixty five subjects completed the entire process, including blood tests and tests with medical devices. Five assessments of health status were accomplished over 8 weeks by using the CFS and the visual analogue scale (VAS). To ensure that the constitutional herbal tea was being safely used, we conducted and analyzed renal function and liver function tests. For the diagnosis of the Sasang constitution, the Sasang Constitutional Analysis Tool (SCAT) was used, and a specialist in Sasang constitutional medicine made the final diagnosis based on the SCAT result. Constitutional herbal tea was served four weeks after the first visit. The subjects took the constitutional herbal tea twice a day for one month. The results are as follows: The CFS and the VAS scores were significantly improved for the subjects in the constitutional herbal tea. No abnormalities were found on the blood tests to evaluate safety after taking the constitutional herbal tea. The improvements in the CFS and the VAS scores due to the constitutional herbal tea had no significant differences according to the Sasang constitution. Constitutional herbal tea may be used to reduce fatigue and improve health and has no adverse effect on either the kidney or the liver.

  9. Constitutional problems in the handling of plutonium

    International Nuclear Information System (INIS)

    Papier, H.J.

    1989-01-01

    In principle the decision between direct storage and reprocessing comes into the scope of regulation by the first or second power, resp., reserved for them according to the constitutional principle of necessity. The author thinks that a possibly increased hazard potential might result in increased protection requirements or protection measures as envisaged by the licensing preconditions of the Atomic Energy Law and those of other normative protection regulations. This is no issue of constitutional jurisdiction but of political intent and technical-economic capabilities whether or not certain technologies are precluded a prior or permitted and implemented at a safety level satisfying the specific constitutional protection requirements. (orig./HSCH) [de

  10. Proposals for the Reform of Constitutional Regulations on Public Finances

    OpenAIRE

    Tibor András Hetei

    2011-01-01

    The main purpose of this paper is to make specific proposals in the areas of public finance and the budget process in the context of the reform of the Hungarian Constitution. In preparing the proposals the author has reviewed the prevailing constitutional regulations as well as the relevant practice of the Constitutional Court, and examined and compared the constitutional schemes of European countries. The paper finds that a number of aspects of the constitutional regulation of public finance...

  11. Computing generalized Langevin equations and generalized Fokker-Planck equations.

    Science.gov (United States)

    Darve, Eric; Solomon, Jose; Kia, Amirali

    2009-07-07

    The Mori-Zwanzig formalism is an effective tool to derive differential equations describing the evolution of a small number of resolved variables. In this paper we present its application to the derivation of generalized Langevin equations and generalized non-Markovian Fokker-Planck equations. We show how long time scales rates and metastable basins can be extracted from these equations. Numerical algorithms are proposed to discretize these equations. An important aspect is the numerical solution of the orthogonal dynamics equation which is a partial differential equation in a high dimensional space. We propose efficient numerical methods to solve this orthogonal dynamics equation. In addition, we present a projection formalism of the Mori-Zwanzig type that is applicable to discrete maps. Numerical applications are presented from the field of Hamiltonian systems.

  12. A Federal Constitution for the European Union

    DEFF Research Database (Denmark)

    Sweeney, Richard J.

    2003-01-01

    A constitution is more likely to be accepted if it federalizes those issues that arewidely seen as needing complete harmonization. A constitution is more likely to endure if thefederal government does not have powers that are not vital to it but which may alienate somemember states to the point t...

  13. Democracy, Citizen Sovereignty and Constitutional Economics

    OpenAIRE

    Vanberg, Viktor J.

    2006-01-01

    This paper is an exercise in conceptual clarification. Its purpose is to explore the contribution that constitutional economics can make to the theory of democracy. Constitutional economics as the economics of rules is concerned with the study of how the choice of rules in the social, economic and political realm affects the nature of the processes of human interaction that evolve within these rules. The theory of democracy is concerned with institutionalorganizational problems of self-govern...

  14. Constitutive relation of concrete containing meso-structural characteristics

    Directory of Open Access Journals (Sweden)

    Li Guo

    Full Text Available A constitutive model of concrete is proposed based on the mixture theory of porous media within thermodynamic framework. By treating concrete as a multi-phase multi-component mixture, we constructed the constitutive functions for elastic, interfacial, and plastic strain energy respectively. A constitutive law of concrete accommodating internal micro-cracks and interfacial boundaries was established. The peak stress predicted with the developed model depends primarily on the volume ratio of aggregate, and the results explain very well reported experimental phenomena. The strain-stress curve under uniaxial loading was found in a good agreement with experimental data for concrete with three different mixing proportions. Keywords: Constitutive model of concrete, Mixture theory of porous media, Meso-structure, Interfacial energy

  15. Communicative Constitution of Organizations

    DEFF Research Database (Denmark)

    Schoeneborn, Dennis; Vasquez, Consuelo

    2017-01-01

    The notion of the communicative constitution of organizations (CCO) is at the center of a growing theoretical development within organizational communication studies. CCO scholarship is based on the idea that organization emerges in and is sustained and transformed by communication. This entry...

  16. The constitutive sofa cushion

    DEFF Research Database (Denmark)

    Hanghøj, Sara

    2009-01-01

    personal values materialize through a hand-made everyday artefact, and how can the artefact constitute action and self-perception? The empirical research and analysis concerns how a former textile crafts teacher's subjective values and professional identity materialize through a hand-woven sofa cushion...

  17. Development of kinetics equations from the Boltzmann equation; Etablissement des equations de la cinetique a partir de l'equation de Boltzmann

    Energy Technology Data Exchange (ETDEWEB)

    Plas, R.

    1962-07-01

    The author reports a study on kinetics equations for a reactor. He uses the conventional form of these equations but by using a dynamic multiplication factor. Thus, constants related to delayed neutrons are not modified by efficiency factors. The author first describes the theoretic kinetic operation of a reactor and develops the associated equations. He reports the development of equations for multiplication factors.

  18. Behavioral momentum theory: equations and applications.

    Science.gov (United States)

    Nevin, John A; Shahan, Timothy A

    2011-01-01

    Behavioral momentum theory provides a quantitative account of how reinforcers experienced within a discriminative stimulus context govern the persistence of behavior that occurs in that context. The theory suggests that all reinforcers obtained in the presence of a discriminative stimulus increase resistance to change, regardless of whether those reinforcers are contingent on the target behavior, are noncontingent, or are even contingent on an alternative behavior. In this paper, we describe the equations that constitute the theory and address their application to issues of particular importance in applied settings. The theory provides a framework within which to consider the effects of interventions such as extinction, noncontingent reinforcement, differential reinforcement of alternative behavior, and other phenomena (e.g., resurgence). Finally, the theory predicts some counterintuitive and potentially counterproductive effects of alternative reinforcement, and can serve as an integrative guide for intervention when its terms are identified with the relevant conditions of applied settings.

  19. Sasang constitutional medicine as a holistic tailored medicine.

    Science.gov (United States)

    Kim, Jong Yeol; Pham, Duong Duc

    2009-09-01

    Sasang constitutional medicine (SCM) is a unique traditional Korean therapeutic alternative form of medicine. Based on the Yin and Yang theory and on Confucianism, humans are classified into four constitutions. These differ in terms of (i) sensitivity to certain groups of herbs and medicines, (ii) equilibrium among internal organic functions, (iii) physical features and (iv) psychological characteristics. We propose that two main axes in the physiopathology of SCM (food intake/waste discharge and consuming/storing Qi and body fluids) are equivalent to the process of internal-external exchange and catabolism/anabolism in modern physiology, respectively. We then used this hypothesis to discuss the physiological and pathological principles of SCM. Constitution-based medicine is based on the theory that some medicinal herbs and remedies are only appropriate for certain constitutions and can cause adverse effects in others. The constitutional approach of SCM share the same vision as tailored medicine; an individualized therapy that can minimize the risk of adverse reaction while increasing the efficacy and an individualized self-regulation that can help prevent specific susceptible chronic disease and live healthily. There is still a long way to this goal for both SCM and tailored medicine, but we may benefit from systems approaches such as systems biology. We suggest that constitutional perspective of SCM and our hypothesis of two main processes may provide a novel insight for further studies.

  20. Sasang Constitutional Medicine as a Holistic Tailored Medicine

    Directory of Open Access Journals (Sweden)

    Jong Yeol Kim

    2009-01-01

    Full Text Available Sasang constitutional medicine (SCM is a unique traditional Korean therapeutic alternative form of medicine. Based on the Yin and Yang theory and on Confucianism, humans are classified into four constitutions. These differ in terms of (i sensitivity to certain groups of herbs and medicines, (ii equilibrium among internal organic functions, (iii physical features and (iv psychological characteristics. We propose that two main axes in the physiopathology of SCM (food intake/waste discharge and consuming/storing Qi and body fluids are equivalent to the process of internal–external exchange and catabolism/anabolism in modern physiology, respectively. We then used this hypothesis to discuss the physiological and pathological principles of SCM. Constitution-based medicine is based on the theory that some medicinal herbs and remedies are only appropriate for certain constitutions and can cause adverse effects in others. The constitutional approach of SCM share the same vision as tailored medicine; an individualized therapy that can minimize the risk of adverse reaction while increasing the efficacy and an individualized self-regulation that can help prevent specific susceptible chronic disease and live healthily. There is still a long way to this goal for both SCM and tailored medicine, but we may benefit from systems approaches such as systems biology. We suggest that constitutional perspective of SCM and our hypothesis of two main processes may provide a novel insight for further studies.

  1. THE CONSTITUTIONAL CONCEPTS OF THE REFORM TREATY (THE LISBON TREATY

    Directory of Open Access Journals (Sweden)

    Emilian Ciongaru

    2017-12-01

    Full Text Available The Lisbon Treaty also known as the Reform Treaty provides only an amendment of the treaties considered as fundamental, namely the Treaty on the European Union and the Treaty on the functioning of the European Union and is the result of the constitutional process triggered by the Laeken Declaration adopted by the European Council. The Lisbon Treaty is still built on the content of the European Constitution from which they eliminated the most controversial provisions, first of all the title of Constitution that might produce concern and panic among the European Union population through the symbolic power it contained, and for Romania this new treaty was the first it signed in quality of a Union member state. Even if does not bear the name of European Constitution, the Lisbon Treaty is a European Constitution for the following reasons: first it is a Constitution because it gathers together most of the fundamental elements of the Constitutional Treaty, even if it does not have the structure or the name thereof, and second the treaties after the Lisbon reform have become small constitutions from the operational viewpoint, they develop the functions of a constitution, limit power and organize the operation of the organization.

  2. The spirit of the constitution. The institutionalized unsociability in Greece

    Directory of Open Access Journals (Sweden)

    Savvas MAVRIDIS

    2017-08-01

    Full Text Available With this article attempts a comparison of the Greek Constitution of 1975, the constitutions of Germany, USA, Switzerland, Austria, France, UK and Italy on the issue of property relations and general interest, in order to highlight those notified differences relating to these communities and resulted in specific social situations. While the constitutions of the other countries, which are among the most representative democracies of the Western world, are characterized by an increased institutionalization of sociability, the Greek constitution on the issue of general interest takes an antisocial and, at best, neutral attitude. The convergence of the Greek constitution on this issue with the other constitutions is considered a prerequisite for overcoming the crisis and, more generally, for social development. This little effort hopes to contribute to a more social future formulation of the Greek constitution and a corresponding behaviour of Greek society.

  3. European constitution and EURATOM treaty

    International Nuclear Information System (INIS)

    Heller, W.

    2003-01-01

    The European Council held in Laeken in December 2001 had decided to call a convention preparing the next conference of the heads of state and government which, among other topics, was to deliberate the question of a fully formulated European constitution. Under the presidency of Giscard d'Estaing, all delegates to the European Convention on July 10, 2003 signed the draft treaty for a European constitution. This final document is the basis of the conference of the heads of state and government to begin in October 2003. On this occasion, the draft of a separate chapter on energy could well come up again for examination. This chapter had been introduced only at the end of the deliberations of the convention and adds to the competences of the EU institutions. Also the Euratom Treaty was a topic of the convention preparing the constitution. As the presidency felt that no specific issues had been raised in the Laeken declaration, it is proposed to adapt the Euratom Treaty to the new provisions of the constitution by adding a protocol. This would mean that the European Atomic Energy Community, for the time being, would retain its independent legal status. The contents would have to be examined at some later date. Consequently, the real discussion of the Euratom Treaty is yet to come. Also, the speedy completion of the single market for electricity would make it desirable for the Community to adopt a uniform, positive stance in the use of nuclear power at the best possible safety standards so as to ensure a level playing field. Current events entailing power failures in the United States and the United Kingdom have alerted the public to the problem of the continuity of power supply. This could well be the beginning of a new, unbiased, balanced energy discussion in a bigger Europe. (orig.)

  4. Hledání ztraceného básníka

    Czech Academy of Sciences Publication Activity Database

    Trávníček, Jiří; Krejčí, J.; Minařík, P.; Klíčová, E.

    2014-01-01

    Roč. 30, č. 7 (2014), s. 72-75 ISSN 1211-9938 Institutional support: RVO:68378068 Keywords : Reiner, Martin * Blatný, Ivan * Czech poet s * Czech prose Subject RIV: AJ - Letters, Mass-media, Audiovision

  5. Thermophoresis of a spherical particle: Modeling through moment-based, macroscopic transport equations

    Science.gov (United States)

    Padrino, Juan C.; Sprittles, James; Lockerby, Duncan

    2017-11-01

    Thermophoresis refers to the forces on and motions of objects caused by temperature gradients when these objects are exposed to rarefied gases. This phenomenon can occur when the ratio of the gas mean free path to the characteristic physical length scale (Knudsen number) is not negligible. In this work, we obtain the thermophoretic force on a rigid, heat-conducting spherical particle immersed in a rarefied gas resulting from a uniform temperature gradient imposed far from the sphere. To this end, we model the gas dynamics using the steady, linearized version of the so-called regularized 13-moment equations (R13). This set of equations, derived from the Boltzmann equation using the moment method, provides closures to the mass, momentum, and energy conservation laws in the form of constitutive, transport equations for the stress and heat flux that extends the Navier-Stokes-Fourier model to include rarefaction effects. Integration of the pressure and stress on the surface of the sphere leads to the net force as a function of the Knudsen number, dimensionless temperature gradient, and particle-to-gas thermal conductivity ratio. Results from this expression are compared with predictions from other moment-based models as well as from kinetic models. Supported in the UK by the Engineering and Physical Sciences Research Council (EP/N016602/1).

  6. Extended constitutive laws for lamellar phases

    Directory of Open Access Journals (Sweden)

    Chi-Deuk Yoo

    2013-10-01

    Full Text Available Classically, stress and strain rate in linear viscoelastic materials are related by a constitutive relationship involving the viscoelastic modulus G(t. The same constitutive law, within Linear Response Theory, relates currents of conserved quantities and gradients of existing conjugate variables, and it involves the autocorrelation functions of the currents in equilibrium. We explore the consequences of the latter relationship in the case of a mesoscale model of a block copolymer, and derive the resulting relationship between viscous friction and order parameter diffusion that would result in a lamellar phase. We also explicitly consider in our derivation the fact that the dissipative part of the stress tensor must be consistent with the uniaxial symmetry of the phase. We then obtain a relationship between the stress and order parameter autocorrelation functions that can be interpreted as an extended constitutive law, one that offers a way to determine them from microscopic experiment or numerical simulation.

  7. Resolution and Letter to Congress from the Constitutional Convention

    Science.gov (United States)

    Potter, Lee Ann

    2005-01-01

    This article explores the drafting of the United States Constitution. The United States Constitution is the longest-lasting written national constitution in the world. Its four parchment pages serve as the blueprint for a government under which more than 290 million Americans live. It holds great significance for the American people and for others…

  8. Constitutive relationships of hot stamping boron steel B1500HS based on the modified Arrhenius and Johnson–Cook model

    International Nuclear Information System (INIS)

    Li, Huiping; He, Lianfang; Zhao, Guoqun; Zhang, Lei

    2013-01-01

    Constitutive relationship of boron steel is one of the most necessary mathematical models in the numerical simulation of hot stamping; it describes the relationship of the flow stress with strain, strain rate and temperature. In order to attain the constitutive relationship of boron steel B1500HS, four types of samples with microstructure of austenite, ferrite+pearlite, bainite or martensite are prepared by the Gleeble 1500D thermo-mechanical simulator. Isothermal uniaxial tension testings for these specimens are performed at 20–900 °C at the strain rates of 0.01 s –1 , 0.1 s –1 , 1.0 s –1 and 10 s –1 by Gleeble 1500D, and the true stress–strain curves at the relative conditions are gained. The experimental results show that, the flow stress of samples with relative microstructure rises with the decrease of the deformation temperature, and with the increase of the strain rate. The modified Arrhenius model is used to describe the hot deformation of samples with austenite microstructure, and the modified Johnson–Cook model is used to describe the deformation process of samples with ferrite+pearlite, bainite or martensite microstructure. The constitutive equations depending on the strain, strain rate and temperature are attained by the regression analysis for the experimental data of flow stress, strain, strain rate, temperature, etc. The comparison of the computational data and the experimental results shows that, the computational data using the constitutive relationships are well consistent with the experimental data

  9. Constitutional collisions of criminal law

    Directory of Open Access Journals (Sweden)

    Sergey M. Inshakov

    2016-12-01

    Full Text Available Objective to identify and resolve conflicts between the norms of constitutional and criminal law which regulate the issue of legal liability of senior officials of the state. Methods formallogical systematic comparativelegal. Results the article analyzes the embodiment of the principle of citizensrsquo equality under the law regarding the criminal responsibility of the President of the Russian Federation as one of the segments of the elite right other criminal and legal conflicts are considered associated with the creation of conditions for derogation from the principle of equality. Basing on this analysis the means of overcoming collisions between the norms of constitutional and criminal law are formulated. Scientific novelty in the article for the first time it has been shown that in the Russian criminal law there are exceptions to the principle of citizensrsquo equality under the law relating to the President of the Russian Federation the conflicts are identified between the norms of constitutional and criminal law regulating the issue of legal liability of senior officials of the state ways of overcoming conflicts are suggested. Practical significance the main provisions and conclusions of the article can be used in research and teaching in the consideration of issues of senior state officialsrsquo criminal liability.

  10. Pinning down the Constitution: Interactively Teaching Congress's Power, Federalism, and Constitutional Interpretation

    Science.gov (United States)

    Emenaker, Ryan

    2014-01-01

    "Pin-the-Tail-on-the-Constitution" is an engaged-learning activity that has been conducted in 26 classes over the past four years. The activity teaches multiple themes commonly included in a variety of courses on American politics such as federalism, congressional powers, the role of the federal courts, and the relevance of the commerce…

  11. Constitutive Theories of Self-Knowledge and the Regress Problem ...

    African Journals Online (AJOL)

    ... on the other hand, hold that self-knowledge is constitutive of intentional states. That is, self-ascription is a necessary condition for being in a particular mental state. Akeel Bilgrami is a defender of the constitutive model. I argue that the constitutive model gives rise to a regress problem. This paper will focus on that problem ...

  12. Organic Law Of Judicial Guarantees And Constitutional Control

    Directory of Open Access Journals (Sweden)

    Ernesto López Freire

    2013-01-01

    Full Text Available This paper demonstrates the various unconstitutional and fallacies of the Organic Law of Judicial guarantees and Constitutional Control. For that, there will be a comprehensive collation between the mentioned law and the Constitution of the Republic of Ecuador and force. Through this analysis shows a lack of knowledge of Ecuadorian law or legal science by their authors. This study elucidated, inter alia, the inconsistencies in matters relating to the interpretation of constitutional provisions, full compensation, material and integral; challenge administrative acts, judicial unit.

  13. Simple equation method for nonlinear partial differential equations and its applications

    Directory of Open Access Journals (Sweden)

    Taher A. Nofal

    2016-04-01

    Full Text Available In this article, we focus on the exact solution of the some nonlinear partial differential equations (NLPDEs such as, Kodomtsev–Petviashvili (KP equation, the (2 + 1-dimensional breaking soliton equation and the modified generalized Vakhnenko equation by using the simple equation method. In the simple equation method the trial condition is the Bernoulli equation or the Riccati equation. It has been shown that the method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems.

  14. Study of nonlinear waves described by the cubic Schroedinger equation

    International Nuclear Information System (INIS)

    Walstead, A.E.

    1980-01-01

    The cubic Schroedinger equation (CSE) is ubiquitous as a model equation for the long-time evolution of finite-amplitude near-monochromatic dispersive waves. It incorporates the effects of the radiation field pressure on the constitutive properties of the supporting medium in a self-consistent manner. The properties of the uniformly transiating periodic wave solutions of the one-dimensional CSE are studied here. These (so-called cnoidal) waves are characterized by the values of four parameters. Whitham's averaged variational principle is used to derive a system of quasilinear evolution equations (the modulational equations) for the values of these parameters when they are slowly varying in space and time. Explicit expressions for the characteristic velocities of the modulational equations are obtained for the full set of cnoidal waves. Riemann invariants are obtained for several limits for the stable case, and growth rates are obtained for several limits, including the solitary wave chain, for the unstable case. The results for several nontrivial limiting cases agree with those obtained by independent methods by others. The dynamics of the CSE generalized to two spatial dimensions are studied for the unstable case. A large class of similarity solutions with cylindrical symmetry are obtained systematically using infinitesimal transformation group techniques. The methods are adapted to obtain the symmetries of the action functional of the CSE and to deduce nine integral invariants. A numerical study of the self-similar solutions reveals that they are modulationally unstable and that singularities dominate the dynamics of the CSE in two dimensions. The CSE is derived using perturbation theory for a specific problem in plasma physics: the evolution of the envelope of a near-monochromatic electromagnetic wave in a cold magnetized plasma. 13 figures, 2 tables

  15. Study of nonlinear waves described by the cubic Schroedinger equation

    Energy Technology Data Exchange (ETDEWEB)

    Walstead, A.E.

    1980-03-12

    The cubic Schroedinger equation (CSE) is ubiquitous as a model equation for the long-time evolution of finite-amplitude near-monochromatic dispersive waves. It incorporates the effects of the radiation field pressure on the constitutive properties of the supporting medium in a self-consistent manner. The properties of the uniformly transiating periodic wave solutions of the one-dimensional CSE are studied here. These (so-called cnoidal) waves are characterized by the values of four parameters. Whitham's averaged variational principle is used to derive a system of quasilinear evolution equations (the modulational equations) for the values of these parameters when they are slowly varying in space and time. Explicit expressions for the characteristic velocities of the modulational equations are obtained for the full set of cnoidal waves. Riemann invariants are obtained for several limits for the stable case, and growth rates are obtained for several limits, including the solitary wave chain, for the unstable case. The results for several nontrivial limiting cases agree with those obtained by independent methods by others. The dynamics of the CSE generalized to two spatial dimensions are studied for the unstable case. A large class of similarity solutions with cylindrical symmetry are obtained systematically using infinitesimal transformation group techniques. The methods are adapted to obtain the symmetries of the action functional of the CSE and to deduce nine integral invariants. A numerical study of the self-similar solutions reveals that they are modulationally unstable and that singularities dominate the dynamics of the CSE in two dimensions. The CSE is derived using perturbation theory for a specific problem in plasma physics: the evolution of the envelope of a near-monochromatic electromagnetic wave in a cold magnetized plasma. 13 figures, 2 tables.

  16. Spherocylindrical microplane constitutive model for shale and other anisotropic rocks

    Science.gov (United States)

    Li, Cunbao; Caner, Ferhun C.; Chau, Viet T.; Bažant, Zdeněk P.

    2017-06-01

    Constitutive equations for inelastic behavior of anisotropic materials have been a challenge for decades. Presented is a new spherocylindrical microplane constitutive model that meets this challenge for the inelastic fracturing behavior of orthotropic materials, and particularly the shale, which is transversely isotropic and is important for hydraulic fracturing (aka fracking) as well as many geotechnical structures. The basic idea is to couple a cylindrical microplane system to the classical spherical microplane system. Each system is subjected to the same strain tensor while their stress tensors are superposed. The spherical phase is similar to the previous microplane models for concrete and isotropic rock. The integration of stresses over spherical microplanes of all spatial orientations relies on the previously developed optimal Gaussian integration over a spherical surface. The cylindrical phase, which is what creates the transverse isotropy, involves only microplanes that are normal to plane of isotropy, or the bedding layers, and enhance the stiffness and strength in that plane. Unlike all the microplane models except the spectral one, the present one can reproduce all the five independent elastic constants of transversely isotropic shales. Vice versa, from these constants, one can easily calculate all the microplane elastic moduli, which are all positive if the elastic in-to-out-of plane moduli ratio is not too big (usually less than 3.75, which applies to all shales). Oriented micro-crack openings, frictional micro-slips and bedding plane behavior can be modeled more intuitively than with the spectral approach. Data fitting shows that the microplane resistance depends on the angle with the bedding layers non-monotonically, and compressive resistance reaches a minimum at 60°. A robust algorithm for explicit step-by-step structural analysis is formulated. Like all microplane models, there are many material parameters, but they can be identified sequentially

  17. Lunar magnetic anomalies detected by the Apollo substatellite magnetometers

    Science.gov (United States)

    Hood, L.L.; Coleman, P.J.; Russell, C.T.; Wilhelms, D.E.

    1979-01-01

    Properties of lunar crustal magnetization thus far deduced from Apollo subsatellite magnetometer data are reviewed using two of the most accurate presently available magnetic anomaly maps - one covering a portion of the lunar near side and the other a part of the far side. The largest single anomaly found within the region of coverage on the near-side map correlates exactly with a conspicuous, light-colored marking in western Oceanus Procellarum called Reiner Gamma. This feature is interpreted as an unusual deposit of ejecta from secondary craters of the large nearby primary impact crater Cavalerius. An age for Cavalerius (and, by implication, for Reiner Gamma) of 3.2 ?? 0.2 ?? 109 y is estimated. The main (30 ?? 60 km) Reiner Gamma deposit is nearly uniformly magnetized in a single direction, with a minimum mean magnetization intensity of ???7 ?? 10-2 G cm3/g (assuming a density of 3 g/cm3), or about 700 times the stable magnetization component of the most magnetic returned samples. Additional medium-amplitude anomalies exist over the Fra Mauro Formation (Imbrium basin ejecta emplaced ???3.9 ?? 109 y ago) where it has not been flooded by mare basalt flows, but are nearly absent over the maria and over the craters Copernicus, Kepler, and Reiner and their encircling ejecta mantles. The mean altitude of the far-side anomaly gap is much higher than that of the near-side map and the surface geology is more complex, so individual anomaly sources have not yet been identified. However, it is clear that a concentration of especially strong sources exists in the vicinity of the craters Van de Graaff and Aitken. Numerical modeling of the associated fields reveals that the source locations do not correspond with the larger primary impact craters of the region and, by analogy with Reiner Gamma, may be less conspicuous secondary crater ejecta deposits. The reason for a special concentration of strong sources in the Van de Graaff-Aitken region is unknown, but may be indirectly

  18. Recent advances in marching-on-in-time schemes for solving time domain volume integral equations

    KAUST Repository

    Sayed, Sadeed Bin; Ulku, Huseyin Arda; Bagci, Hakan

    2015-01-01

    Transient electromagnetic field interactions on inhomogeneous penetrable scatterers can be analyzed by solving time domain volume integral equations (TDVIEs). TDVIEs are constructed by setting the summation of the incident and scattered field intensities to the total field intensity on the volumetric support of the scatterer. The unknown can be the field intensity or flux/current density. Representing the total field intensity in terms of the unknown using the relevant constitutive relation and the scattered field intensity in terms of the spatiotemporal convolution of the unknown with the Green function yield the final form of the TDVIE. The unknown is expanded in terms of local spatial and temporal basis functions. Inserting this expansion into the TDVIE and testing the resulting equation at discrete times yield a system of equations that is solved by the marching on-in-time (MOT) scheme. At each time step, a smaller system of equations, termed MOT system is solved for the coefficients of the expansion. The right-hand side of this system consists of the tested incident field and discretized spatio-temporal convolution of the unknown samples computed at the previous time steps with the Green function.

  19. Recent advances in marching-on-in-time schemes for solving time domain volume integral equations

    KAUST Repository

    Sayed, Sadeed Bin

    2015-05-16

    Transient electromagnetic field interactions on inhomogeneous penetrable scatterers can be analyzed by solving time domain volume integral equations (TDVIEs). TDVIEs are constructed by setting the summation of the incident and scattered field intensities to the total field intensity on the volumetric support of the scatterer. The unknown can be the field intensity or flux/current density. Representing the total field intensity in terms of the unknown using the relevant constitutive relation and the scattered field intensity in terms of the spatiotemporal convolution of the unknown with the Green function yield the final form of the TDVIE. The unknown is expanded in terms of local spatial and temporal basis functions. Inserting this expansion into the TDVIE and testing the resulting equation at discrete times yield a system of equations that is solved by the marching on-in-time (MOT) scheme. At each time step, a smaller system of equations, termed MOT system is solved for the coefficients of the expansion. The right-hand side of this system consists of the tested incident field and discretized spatio-temporal convolution of the unknown samples computed at the previous time steps with the Green function.

  20. Gospel and constitutional imperatives: the right to life

    Directory of Open Access Journals (Sweden)

    S.P. Giles

    2011-06-01

    Full Text Available Gospel and constitutional imperatives: the right to life In the Republic of South Africa, Christians are called to live out gospel imperatives within the legal framework of the Constitution. Ethical issues about the right to life are considered from the perspectives of selected gospel and constitutional imperatives. Gospel imperatives impose themselves as a consequence of Christian discipleship. These are many and diverse, both explicit and implicit. Christian vocation, discipleship, witness and perseverance, are foundational and integral to the praxis of Christian daily living. These facets of Christian life are illustrated by the selected gospel imperatives, “Follow me” (Matt. 4:19 and synoptic parallels, “Love God, and your neighbour as yourself” (Matt. 22:34-40 and synoptic parallels, and “Take up your cross” (Matt. 10:38 and synoptic parallels. The central theoretical argument of this article is driven from a reformed ethical perspective. Gospel imperatives have priority over constitutional imperatives since gospel imperatives are of divine origin and constitutional imperatives of human origin. Acknowledgement of these priorities informs the Christian ethical perspective on the right to life and on abortion.

  1. Limits of verification by the Federal Constitutional Court

    International Nuclear Information System (INIS)

    Anon.

    1985-01-01

    The court of administration of Baden-Wuerttemberg passed a resolution on October 27,1983 - 10 S 1102/83 - dismissing the application to revoke the immediate implementation of the first partial construction permit for the joint nuclear power plant Neckar II. As the plaintiff thereupon lodged a complaint with the Federal Constitutional Court the resolution did not become effective immediately. However, the Federal Constitutional Court on October 1, 1984 decreed unanimously in accordance with the section 93a subsection 3 of the law on the Federal Constitutional Court - 1 BvR 231/84 -: ''The constitutional complaint lodged is not taken up for decision because its chances of success are nil.'' Thus the original decision of the court of administration of Baden-Wuerttemberg passed on October 27, 1983 was confirmed by the endorsement of its immediate implementation. (orig./HSCH) [de

  2. Public health and the Australian Constitution.

    Science.gov (United States)

    Reynolds, C

    1995-06-01

    The powers vested in the Commonwealth Government by the Constitution contain the basis of much public health law in Australia. Yet this is not often recognised; public health law is generally, and historically, seen as the states' responsibility. This article surveys the broad range of constitutional powers that the Commonwealth Government can rely upon to make public health laws. It considers areas of power specified in the Constitution, such as those with respect to external affairs and corporations. Decisions of the High Court have interpreted the various heads of power very broadly and have significantly enhanced the potential of the Commonwealth to pass detailed and far-reaching public health law. To this fact must be added the taxation arrangements in Australia and, with these, the very extensive control that the Commonwealth can exercise through its monopoly of major taxation sources. Its power to make financial arrangements can tie dependent states into specific policies (including public health policies) as a condition of the grants made to them. However, these broad powers may be limited in some important respects: the High Court is increasingly identifying rights and freedoms in the Constitution that may increasingly bring both state and Commonwealth public health law under challenge. Despite this possibility, the Commonwealth may prove to be our most significant source of public health law, and public health policy makers should recognise the full potential of its power to make such laws.

  3. Numerical Treatment of the Boltzmann Equation for Self-Propelled Particle Systems

    Directory of Open Access Journals (Sweden)

    Florian Thüroff

    2014-11-01

    Full Text Available Kinetic theories constitute one of the most promising tools to decipher the characteristic spatiotemporal dynamics in systems of actively propelled particles. In this context, the Boltzmann equation plays a pivotal role, since it provides a natural translation between a particle-level description of the system’s dynamics and the corresponding hydrodynamic fields. Yet, the intricate mathematical structure of the Boltzmann equation substantially limits the progress toward a full understanding of this equation by solely analytical means. Here, we propose a general framework to numerically solve the Boltzmann equation for self-propelled particle systems in two spatial dimensions and with arbitrary boundary conditions. We discuss potential applications of this numerical framework to active matter systems and use the algorithm to give a detailed analysis to a model system of self-propelled particles with polar interactions. In accordance with previous studies, we find that spatially homogeneous isotropic and broken-symmetry states populate two distinct regions in parameter space, which are separated by a narrow region of spatially inhomogeneous, density-segregated moving patterns. We find clear evidence that these three regions in parameter space are connected by first-order phase transitions and that the transition between the spatially homogeneous isotropic and polar ordered phases bears striking similarities to liquid-gas phase transitions in equilibrium systems. Within the density-segregated parameter regime, we find a novel stable limit-cycle solution of the Boltzmann equation, which consists of parallel lanes of polar clusters moving in opposite directions, so as to render the overall symmetry of the system’s ordered state nematic, despite purely polar interactions on the level of single particles.

  4. Book review: Advanced Introduction to Comparative Constitutional Law.

    Directory of Open Access Journals (Sweden)

    Ainhoa Martinez

    2016-12-01

    Full Text Available Tushnet presents a thoughtful introduction to the field of comparative constitutional law through a review of recent literature and an analysis of the key contemporary issues in constitutional design and structure. In the following lines a review of his book is presented.Book review of Mark Tushnet. Advanced Introduction to Comparative Constitutional Law. Cheltenham; Northampton: Edward Elgar Publishing, 2014. ISBN (Hb 978 1 78100 731 0 £58.50, ISBN (Pb 978 1 78347 351 9 £12.76.DOWNLOAD THIS PAPER FROM SSRN: https://ssrn.com/abstract=2887014

  5. 15 years of constitutional review in the Supreme Court of Estonia : systematized extracts of constitutional review judgments and rulings of the Supreme Court en banc and the Constitutional Review Chamber in 1993-2008 / Riigikohus ; toim. ja eess.: Ge

    Index Scriptorium Estoniae

    2009-01-01

    Sisaldab ka: The outset of judicial constitutional review / Rait Maruste. Judicial constitutional review at the turn of the century / Uno Lõhmus. Judicial constitutional review through the eyes of Chancellor of Justice / Eerik-Juhan Truuväli. The courts and the Supreme Court in concrete norm control / Madis Ernits

  6. Extended rate equations

    International Nuclear Information System (INIS)

    Shore, B.W.

    1981-01-01

    The equations of motion are discussed which describe time dependent population flows in an N-level system, reviewing the relationship between incoherent (rate) equations, coherent (Schrodinger) equations, and more general partially coherent (Bloch) equations. Approximations are discussed which replace the elaborate Bloch equations by simpler rate equations whose coefficients incorporate long-time consequences of coherence

  7. Deformation Characteristic and Constitutive Modeling of 2707 Hyper Duplex Stainless Steel under Hot Compression

    Directory of Open Access Journals (Sweden)

    Huabing Li

    2016-09-01

    Full Text Available Hot deformation behavior and microstructure evolution of 2707 hyper duplex stainless steel (HDSS were investigated through hot compression tests in the temperature range of 900–1250 °C and strain rate range of 0.01–10 s−1. The results showed that the flow behavior strongly depended on strain rate and temperature, and flow stress increased with increasing strain rate and decreasing temperature. At lower temperatures, many precipitates appeared in ferrite and distributed along the deformation direction, which could restrain processing of discontinuous dynamic recrystallization (DRX because of pinning grain boundaries. When the temperature increased to 1150 °C, the leading softening behaviors were dynamic recovery (DRV in ferrite and discontinuous DRX in austenite. When the temperature reached 1250 °C, softening behavior was mainly DRV in ferrite. The increase of strain rate was conducive to the occurrence of discontinuous DRX in austenite. A constitutive equation at peak strain was established and the results indicated that 2707 HDSS had a higher Q value (569.279 kJ·mol−1 than other traditional duplex stainless steels due to higher content of Cr, Mo, Ni, and N. Constitutive modeling considering strain was developed to model the hot deformation behavior of 2707 HDSS more accurately, and the correlation coefficient and average absolute relative error were 0.992 and 5.22%, respectively.

  8. Constitutive modelling of creep-ageing behaviour of peak-aged aluminium alloy 7050

    Directory of Open Access Journals (Sweden)

    Yang Yo-Lun

    2015-01-01

    Full Text Available The creep-ageing behaviour of a peak-aged aluminium alloy 7050 was investigated under different stress levels at 174 ∘C for up to 8 h. Interrupted creep tests and tensile tests were performed to investigate the influences of creep-ageing time and applied stress on yield strength. The mechanical testing results indicate that the material exhibits an over-ageing behaviour which increases with the applied stress level during creep-ageing. As creep-ageing time approaches 8 h, the material's yield strength under different stress levels gradually converge, which suggests that the difference in mechanical properties under different stress conditions can be minimised. This feature can be advantageous in creep-age forming to the formed components such that uniformed mechanical properties across part area can be achieved. A set of constitutive equations was calibrated using the mechanical test results and the alloy-specific material constants were obtained. A good agreement is observed between the experimental and calibrated results.

  9. A phenomenological constitutive model for low density polyurethane foams

    International Nuclear Information System (INIS)

    Neilsen, M.K.; Morgan, H.S.; Krieg, R.D.

    1987-04-01

    Results from a series of hydrostatic and triaxial compression tests which were performed on polyurethane foams are presented in this report. These tests indicate that the volumetric and deviatoric parts of the foam behavior are strongly coupled. This coupling behavior could not be captured with any of several commonly used plasticity models. Thus, a new constitutive model was developed. This new model was based on a decomposition of the foam response into two parts: (1) response of the polymer skeleton, and (2) response of the air inside the cells. The air contribution was completely volumetric. The new constitutive model was implemented in two finite element codes, SANCHO and PRONTO. Results from a series of analyses completed with these codes indicated that the new constitutive model captured all of the foam behaviors that had been observed in the experiments. Finally, a typical dynamic problem was analyzed using the new constitutive model and other constitutive models to demonstrate differences between the models. Results from this series of analyses indicated that the new constitutive model generated displacement and acceleration predictions that were between predictions obtained using the other models. This result was expected. 9 refs., 45 figs., 4 tabs

  10. “People”, constitutions and politics in Antioquia, 1810-1877

    Directory of Open Access Journals (Sweden)

    Renzo Ramírez Bacca

    2014-07-01

    Full Text Available This article analyzes the term people which is used in the provincial constitutions of Antioquia and Colombia. The interest lies on presenting their representations and usage in different phases of the Colombian political and constitutional history. The intention is to understand its correlation with the electoral and participative citizenship practice with respect to the State, and also to point out contradictions between different discourses (the constitutional and the political party ones around the people and its actors: women, artisans and farmers. This is a hermeneutic understanding with a historicist focus which, in turn, develops a diachronic analysis based on constitutionals texts and primary sources.

  11. Nonequilibrium Equation of State in Suspensions of Active Colloids

    Directory of Open Access Journals (Sweden)

    Félix Ginot

    2015-01-01

    Full Text Available Active colloids constitute a novel class of materials composed of colloidal-scale particles locally converting chemical energy into motility, mimicking micro-organisms. Evolving far from equilibrium, these systems display structural organizations and dynamical properties distinct from thermalized colloidal assemblies. Harvesting the potential of this new class of systems requires the development of a conceptual framework to describe these intrinsically nonequilibrium systems. We use sedimentation experiments to probe the nonequilibrium equation of state of a bidimensional assembly of active Janus microspheres and conduct computer simulations of a model of self-propelled hard disks. Self-propulsion profoundly affects the equation of state, but these changes can be rationalized using equilibrium concepts. We show that active colloids behave, in the dilute limit, as an ideal gas with an activity-dependent effective temperature. At finite density, increasing the activity is similar to increasing adhesion between equilibrium particles. We quantify this effective adhesion and obtain a unique scaling law relating activity and effective adhesion in both experiments and simulations. Our results provide a new and efficient way to understand the emergence of novel phases of matter in active colloidal suspensions.

  12. Thermodynamics and kinetics of the glass transition: A generic geometric approach

    International Nuclear Information System (INIS)

    Gutzow, I.; Ilieva, D.; Babalievski, F.; Yamakov, V.

    2000-01-01

    A generic phenomenological theory of the glass transition is developed in the framework of a quasilinear formulation of the thermodynamics of irreversible processes. Starting from one of the basic principles of this science in its approximate form given by de Donder's equation, after a change of variables the temperature dependence of the structural parameter ξ(T), the thermodynamic potentials ΔG(tilde sign)(T), the thermodynamic functions and the time of molecular relaxation τ of vitrifying systems is constructed. In doing so, a new effect in the ΔG(tilde sign)(T) course is observed. The analysis of the higher derivatives of the thermodynamic potential, and especially the nullification of the second derivative of the configurational specific heats ΔC(tilde sign) p (T) of the vitrifying liquid defines glass transition temperature T(tilde sign) g and leads directly to the basic dependence of glass transition kinetics: the Frenkel-Kobeko-Reiner equation. The conditions guaranteeing the fulfillment of this equation specify the temperature dependence of the activation energy U(T,ξ(tilde sign)) for viscous flow and give a natural differentiation of glass formers into fragile and strong liquids. The effect of thermal prehistory on the temperature dependence of both thermodynamic functions and kinetic coefficients is established by an appropriate separation of de Donder's equation. (c) 2000 American Institute of Physics

  13. A constitutional economics perspective on soft paternalism

    OpenAIRE

    Schnellenbach, Jan

    2015-01-01

    Using a framework that distinguishes short-term consumer preferences, individual reflective preferences and political preferences, we discuss from a constitutional economics perspective whether individuals find it in their common constitutional interest to endow representatives and bureaucrats with the competence to impose soft paternalist policies. The focus is specifically on soft paternalist policies, because these often work with non-transparent 'nudges' that are considered as manipulativ...

  14. Mathematical and physical aspects of controlling the exact solutions of the 3D Gross-Pitaevskii equation

    International Nuclear Information System (INIS)

    Fedele, Renato; Jovanovic, Dusan; De Nicola, Sergio; Eliasson, Bengt; Shukla, Padma K.

    2010-01-01

    The possibility of the decomposition of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) into a pair of coupled Schroedinger-type equations, is investigated. It is shown that, under suitable mathematical conditions, it is possible to construct the exact controlled solutions of the 3D GPE from the solutions of a linear 2D Schroedinger equation coupled with a 1D nonlinear Schroedinger equation (the transverse and longitudinal components of the GPE, respectively). The coupling between these two equations is the functional of the transverse and the longitudinal profiles. The applied method of nonlinear decomposition, called the controlling potential method (CPM), yields the full 3D solution in the form of the product of the solutions of the transverse and longitudinal components of the GPE. It is shown that the CPM constitutes a variational principle and sets up a condition on the controlling potential well. Its physical interpretation is given in terms of the minimization of the (energy) effects introduced by the control. The method is applied to the case of a parabolic external potential to construct analytically an exact BEC state in the form of a bright soliton, for which the quantitative comparison between the external and controlling potentials is presented.

  15. Initiating the judicial review in the European model of constitutional justice

    OpenAIRE

    Stojanović Dragan

    2014-01-01

    Judicial review is the core competence of the constitutional judicature in Europe, which is largely shaped by the Austrian and German models of constitutional justice. In that context, the issue of initiating the constitutional review of legislation is extremely important. Depending on the subject who is authorized to initiate this proceeding, the constitutional review may be twofold: the abstract control and the incidental control. The former type of constitutional review is generally initia...

  16. Constitutionalism and conflict in Ternate, North Maluku, Indonesia

    NARCIS (Netherlands)

    Hermkens, A.K.

    2010-01-01

    Allegedly the oldest in Indonesia, and to some even beyond, the constitution treasured in the Kedaton (traditional palace) of the Sultan of Ternate (North Maluku, Indonesia) constitutes a dividing line between North and South Ternate in terms of government, ethnicity, and, spirituality. Moreover, it

  17. Gender and the Constitution

    Science.gov (United States)

    Ginsburg, Ruth Bader

    1975-01-01

    In discussing the constitutional aspects of the sex-role debate in the U.S. the author traces the tradition, compares the present criterion of equal protection to the equal rights argument, and analyzes the equality principle with reference to affirmative action and to childbearing and childrearing, supporting the proposed equal rights amendment.…

  18. The Constitutional Court in light of interpretive decisions in normative control proceedings

    Directory of Open Access Journals (Sweden)

    Stojanović Dragan

    2016-01-01

    Full Text Available In a legal system based on the principle of the separation of powers, constitutional judicature is necessarily (given the nature of its social function at the intersection of law and politics. Thus, constitutional judiciary is required to preserve political neutrality, particularly in relation to political (legislative and executive authorities. The paper analyzes the principal issues pertaining to constitutional court interpretation, particularly in light of observing the principle of the separation of powers that the constitutional judiciary is bound to abide by and considering the role of the constitutional court as an institution standing at the intersection of law and politics. Every constitutional court is required to be politically neutral and independent from daily politics, which is the major factor in delineating not only the overall boundaries of the constitutional control of the normative framework but also in ensuring the independent and unbiased activity of the constitutional court in the process of interpreting the Constitution and the laws. The constitutional control function shall not be politicized, and it must be exercised only through legal reasoning. Consequently, in the process of constitutional interpretation, the Constitutional Court of Serbia has to develop and consistently pursue a doctrine of self-restraint, thus refraining from politically-driven assessment which is the exclusive duty of political authorities. A closer examination of the doctrine of self-restraint in recent constitutional practice shows that the most prominent elements of this doctrine are relatively new interpretative constructions and legal formulations of constitutional court, which reinforce not only the political neutrality of the constitutional judiciary but also its role as 'the negative legislator'. Yet, some of these constructions may be challenged because their excessive and often inadequate application has resulted in a kind of 'self

  19. Irradiated stainless steel material constitutive model for use in the performance evaluation of PWR pressure vessel internals

    Energy Technology Data Exchange (ETDEWEB)

    Rashid, J.Y.; Dunham, R.S. [ANATECH (United States); Demma, A. [Electric Power Research Institute - EPRI (United States)

    2011-07-01

    Demonstration of component functionality requires analytical simulations of reactor internals behavior. Towards that aim, EPRI has undertaken the development of irradiated material constitutive model and damage criteria for use in global and local finite-element based functionality analysis methodology. The constitutive behavioral regimes of irradiated stainless steel types 316 and 304 materials included in the model consist of: elastic-plastic material response considering irradiation hardening of the stress-strain curve, irradiation creep, stress relaxation, and void swelling. IASCC and degradation of ductility with irradiation are the primary damage mechanisms considered in the model. The material behavior model development consists of two parts: the first part is a user-material subroutine that can interface with a general-purpose finite element computer program to adapt it to the special-purpose of functionality analysis of reactor internals. The second part is a user utility in the form of Excel Spread sheets that permit users to extract a given property, e.g. the elastic-plastic stress-strain curve, creep curve, or void-swelling curve, as function of the relevant independent variables. The development of the model takes full advantage of the significant work that has been undertaken within EPRI's Material Reliability Program (MRP) to improve the knowledge of the material properties of irradiated stainless steels. Data from EPRI's MRP database have been utilized to develop equations that characterize the yield strength, ultimate tensile strength, uniform elongation, total elongation, reduction in area, void swelling and irradiation creep of stainless steels in a PWR environment. It is noted that, while the development of the model's equations has been statistically faithful to the material database, approximations were introduced in the model to ensure appropriate conservatism in the model's application consistently with accepted

  20. Perspective of the Human Body in Sasang Constitutional Medicine

    Directory of Open Access Journals (Sweden)

    Junhee Lee

    2009-01-01

    Full Text Available The Sasang constitutional medicine (SCM, a medical tradition originating from Korea, is distinguished from the traditional Chinese medicine in its philosophical background, theoretical development and especially, the fundamental rationale that analyzes the structure and function of the human body within a quadrifocal scheme. In SCM, the structure of the body is comprehended within the Sasang quadrifocal scheme, and the function of the body is understood within the context of the energy-fluid metabolism and the water-food metabolism controlled by the four main organs (lung, spleen, liver and kidney. Also, the concept of Seong-Jeong is used to explain the structural and functional variations between different constitutional types that arise from the constitutional variations in organ system scheme, which are in turn caused by deviations in the constitutional Seong-Jeong. Therefore, understanding the SCM perspective of the human body is essential in order to fully appreciate the advantages of the constitutional typological system (which focuses on individual idiosyncrasies found in SCM.

  1. Constitutional reform processes and political parties: principles for practice

    OpenAIRE

    Vliet, van, M.; Wahiu, W.; Magolowondo, A.

    2012-01-01

    This publication provides a set of guiding principles for constitutional reform on the basis of practical experiences of constitutional reform processes in selected countries: Bolivia, Ghana, Indonesia, Iraq, Kenya, Malawi, Zimbabwe and South Africa. The focus is on the role of political parties in constitution-building processes. The publication shows that although country-specific reform processes may be unique in terms of objectives, context, popular involvement, and achievements, they go ...

  2. Controversial constitutive TSHR activity: patients, physiology, and in vitro characterization.

    Science.gov (United States)

    Huth, S; Jaeschke, H; Schaarschmidt, J; Paschke, R

    2014-06-01

    G protein-coupled receptors constitute a large family of transmembrane receptors, which activate cellular responses by signal transmission and regulation of second messenger metabolism after ligand binding. For several of these receptors it is known that they also signal ligand-independently. The G protein-coupled thyroid stimulating hormone receptor (TSHR) is characterized by a high level of constitutive activity in the wild type state. However, little is known yet concerning the physiological relevance of the constitutive wild type TSHR activity. Certainly, knowledge of the physiological relevance of constitutive wild type receptor activity is necessary to better understand thyroid physiology and it is a prerequisite for the development of better therapies for nonautoimmune hyperthyroidism and thyroid cancer. Based on a literature search regarding all published TSHR mutations, this review covers several mutations which are clearly associated with a hyperthyroidism-phenotype, but interestingly show a lack of constitutive activity determined by in vitro characterization. Possible reasons for the observed discrepancies between clinical phenotypes and in vitro characterization results for constitutive TSHR activity are reviewed. All current in vitro characterization methods for constitutive TSHR mutations are "preliminary attempts" and may well be revised by more comprehensive and even better approaches. However, a standardized approach for the determination of constitutive activity can help to identify TSHR mutations for which the investigation of additional signaling mechanisms would be most interesting to find explanations for the current clinical phenotype/in vitro discrepancies and thereby also define suitable methods to explore the physiological relevance of constitutive wild type TSHR activity. © Georg Thieme Verlag KG Stuttgart · New York.

  3. Social pacts and Constitutional Justice: A comparative approach between Korea and Colombia.

    Directory of Open Access Journals (Sweden)

    Rodrigo González Quintero

    2011-12-01

    Full Text Available During the last quarter of the twentieth century, new constitutions were adopted in South Korea and Colombia and these documents established constitutional courts. Thus, under specific circumstances of institutional crisis, two societies and their leaders embraced the task of overcoming said crisis through the enactment of a new constitution. The establishment of constitutional courts entailed the validity towards the future of the reached constitutional consensus,as the successful way to surpass the prior crisis. The new constitutions at our countries are perceived as the reformulation of the social compact, and the constitutional courts play a constant and noteworthy function as they actualize said democratic-constitutional compact.

  4. The application of section 8(3) of the constitution in the development of customary law values in South Africa's new constitutional dispensation

    OpenAIRE

    Ntlama, Nomthandazo

    2012-01-01

    The constitutional recognition of customary law alongside common law in the Constitution of the Republic of South Africa, 1996 is highly commendable. It also raises the question of whether or not the recognition was undertaken out of genuine respect for customary law or merely forgotten in section 8(3) of the Constitution. It is argued that the exclusion of customary law from the provision of the section is nothing more than the advancement of the dominant status enjoyed by common law, as was...

  5. Valuation In The Constitutional Era

    Directory of Open Access Journals (Sweden)

    Elmien du Plessis

    2015-12-01

    Full Text Available The Constitution brought about a new compensation regime for expropriations. Compensation for expropriation must now be "just and equitable". Whereas before the Constitution came into force market value played a central role in compensation for expropriation, market value is now only one factor or aspect of compensation that the court needs to take into account. Yet we find that courts tend to focus on market value and to still employ the valuation methods used to calculate market value. This article argues that the methods used to calculate the market value, once thought to be objective, are not as objective as was believed. While it is impossible to give judges specific tools for the assessment of market value, this article provides guidelines on how the calculation of compensation should be approached.

  6. Generation of exact solutions to the Einstein field equations for homogeneous space--time

    International Nuclear Information System (INIS)

    Hiromoto, R.E.

    1978-01-01

    A formalism is presented capable of finding all homogeneous solutions of the Einstein field equations with an arbitrary energy-stress tensor. Briefly the method involves the classification of the four-dimensional Lie algebra over the reals into nine different broad classes, using only the Lorentz group. Normally the classification of Lie algebras means that one finds all essentially different solutions of the Jacobi identities, i.e., there exists no nonsingular linear transformation which transforms two sets of structure constants into the other. This approach is to utilize the geometrical considerations of the homogeneous spacetime and field equations to be solved. Since the set of orthonormal basis vectors is not only endowed with a Minkowskian metric, but also constitutes the vector space of our four-dimensional Lie algebras, the Lie algebras are classified against the Lorentz group restricts the linear group of transformations, denoting the essentially different Lie algebras, into nine different broad classes. The classification of the four-dimensional Lie algebras represents the unification of various methods previously introduced by others. Where their methods found only specific solutions to the Einstein field equations, systematic application of the nine different classes of Lie algebras guarantees the extraction of all solutions. Therefore, the methods of others were extended, and their foundations of formalism which goes beyond the present literature of exact homogeneous solutions to the Einstein field equations is built upon

  7. Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation

    Directory of Open Access Journals (Sweden)

    Hamidreza Rezazadeh

    2014-05-01

    Full Text Available In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.. So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreover, its asymptotic stability and statistical concepts like expectation and variance of solutions are discussed. Finally, the attained solutions of these S.D.E.s compared with exact solution of corresponding differential equations.

  8. The Application of Section 8(3 of the Constitution in the Development of Customary Law Values in South Africa's New Constitutional Dispensation

    Directory of Open Access Journals (Sweden)

    N Ntlama

    2012-03-01

    Full Text Available The constitutional recognition of customary law alongside common law in the Constitution of the Republic of South Africa, 1996 is highly commendable. It also raises the question of whether or not the recognition was undertaken out of genuine respect for customary law or merely forgotten in section 8(3 of the Constitution. It is argued that the exclusion of customary law from the provision of the section is nothing more than the advancement of the dominant status enjoyed by common law, as was the case before the dawn of democracy. This argument is limited to the application of section 8(3 and the jurisprudence of the Constitutional Court, without focusing on the shortcomings of the latter in relation to the remedies provided in the resolution of disputes arising from customary law.

  9. Instrumented anvil-on-rod impact experiments for validating constitutive strength model for simulating transient dynamic deformation response of metals

    International Nuclear Information System (INIS)

    Martin, M.; Shen, T.; Thadhani, N.N.

    2008-01-01

    Instrumented anvil-on-rod impact experiments were performed to access the applicability of this approach for validating a constitutive strength model for dynamic, transient-state deformation and elastic-plastic wave interactions in vanadium, 21-6-9 stainless steel, titanium, and Ti-6Al-4V. In addition to soft-catching the impacted rod-shaped samples, their transient deformation states were captured by high-speed imaging, and velocity interferometry was used to record the sample back (free) surface velocity and monitor elastic-plastic wave interactions. Simulations utilizing AUTODYN-2D hydrocode with Steinberg-Guinan constitutive equation were used to generate simulated free surface velocity traces and final/transient deformation profiles for comparisons with experiments. The simulations were observed to under-predict the radial strain for bcc vanadium and fcc steel, but over-predict the radial strain for hcp titanium and Ti-6Al-4V. The correlations illustrate the applicability of the instrumented anvil-on-rod impact test as a method for providing robust model validation based on the entire deformation event, and not just the final deformed state

  10. Quasi-constitutional change without intent : A response to Richard Albert

    NARCIS (Netherlands)

    Passchier, Reijer

    2017-01-01

    Recently, Buffalo Law Review published Richard Albert’s article on “quasi-constitutional amendments.” These are, in Albert’s words, “sub-constitutional changes that do not possess the same legal status as a constitutional amendment, that are formally susceptible to statutory repeal or revision, but

  11. THE EMERGING INTERNATIONAL CONSTITUTIONAL ORDER ...

    African Journals Online (AJOL)

    Dr Tanya du Plessis

    CFI) affirmed ... primarily include the value system of the international legal order, meaning norms of ... the existence of such a traditional constitutional demos. Europe's ..... between the African Development Bank (BAD) and one of its employees,.

  12. THE CONSTITUTIONAL PRINCIPLE OF EQUALITY - LEGAL SIGNIFICANCE AND SOCIAL IMPLICATIONS -

    Directory of Open Access Journals (Sweden)

    Marius ANDREESCU

    2017-12-01

    Full Text Available The equality in human rights and obligations, the equality of citizens before the law are fundamental categories of the theories on social democracy but also conditions of the lawful state, without which constitutional democracy cannot be conceived. In Romanian Constitution, this principle is consecrated in the form of equality of the citizens before the law and public authorities. There are also particular aspects of this principle consecrated in the Constitution. The constitutional principle of equality requires that equal treatment be applied to equal situations. This social and legal reality implies numerous interferences between the principle of equality and other constitutional principles. In this study, by using theoretical and jurisprudential arguments, we intend to demonstrate that, in relation to contemporary social reality, equality, as a constitutional principle, is a particular aspect of the principle of proportionality. The latter one expresses in essence the ideas of: fairness, justice, reasonableness and fair appropriateness of state decisions to the facts and legitimate aims proposed.

  13. Two Ways to Examine Differential Constitutive Equations: Initiated on Steady or Initiated on Unsteady (LAOS Shear Characteristics

    Directory of Open Access Journals (Sweden)

    Jana Zelenkova

    2017-06-01

    Full Text Available The exponential Phan–Tien and Tanner (PTT, Giesekus, Leonov, and modified extended Pom–Pom (mXPP differential constitutive models are evaluated in two ways: with regard to steady shear characteristics and with regard to large amplitude oscillatory shear characteristics of a solution of poly(ethylene oxide in dimethyl sulfoxide. Efficiency of the models with nonlinear parameters optimized with respect to steady shear measurements is evaluated by their ability to describe large amplitude oscillatory shear (LAOS characteristics. The reciprocal problem is also analyzed: The nonlinear parameters are optimized with respect to the LAOS measurements, and the models are confronted with the steady shear characteristics. In this case, optimization is based on the LAOS measurements and equal emphasis is placed on both real and imaginary parts of the stress amplitude. The results show that the chosen models are not adequately able to fit the LAOS characteristics if the optimization of nonlinear parameters is based on steady shear measurements. It follows that the optimization of nonlinear parameters is much more responsible if it is carried out with respect to the LAOS data. In this case, when the optimized parameters are used for a description of steady shear characteristics, efficiency of the individual models as documented differs.

  14. Constitutional obligations of a person and a citizen

    Directory of Open Access Journals (Sweden)

    Alexey Yu. Ogurtsov

    2011-01-01

    Full Text Available The constitution of the Russian Federation does not contain the list of obligations, but theoretically each legal right is supposed to correspond to a legal obligation. Such conformity is achieved by means of attaching obligations not only by Constitution, but by the branch legislation either.

  15. A generalization of the simplest equation method and its application to (3+1)-dimensional KP equation and generalized Fisher equation

    International Nuclear Information System (INIS)

    Zhao, Zhonglong; Zhang, Yufeng; Han, Zhong; Rui, Wenjuan

    2014-01-01

    In this paper, the simplest equation method is used to construct exact traveling solutions of the (3+1)-dimensional KP equation and generalized Fisher equation. We summarize the main steps of the simplest equation method. The Bernoulli and Riccati equation are used as simplest equations. This method is straightforward and concise, and it can be applied to other nonlinear partial differential equations

  16. UBVRI PHOTOMETRIC STANDARD STARS AROUND THE CELESTIAL EQUATOR: UPDATES AND ADDITIONS

    International Nuclear Information System (INIS)

    Landolt, Arlo U.

    2009-01-01

    New broadband UBVRI photoelectric observations on the Johnson-Kron-Cousins photometric system have been made of 202 stars around the sky, and centered at the celestial equator. These stars constitute both an update of and additions to a previously published list of equatorial photometric standard stars. The list is capable of providing, for both celestial hemispheres, an internally consistent homogeneous broadband standard photometric system around the sky. When these new measurements are included with those previously published by Landolt (1992), the entire list of standard stars in this paper encompasses the magnitude range 8.90 < V < 16.30, and the color index range -0.35 < (B - V) < +2.30.

  17. Reflections on the Establishment of Constitutional Government in Eastern Europe.

    Science.gov (United States)

    Varat, Jonathan D.

    Establishing constitutional government involves not simply the creation of a written document that purports to create the political structure of a nation and guarantee rights to its people, but "constitutionalism" in the sense of meaningful and effective adherence to constitutional norms of democratic organization and the protection of…

  18. [Chinese constitution research and the practice of 4P medical model].

    Science.gov (United States)

    Wang, Ji; Wang, Qi

    2012-05-01

    The aim of modern medicine is transforming from disease to health. Thus the medical model of 4P was proposed in recent years. 4P includes preventive, predictive, personalized, and participatory medical model. In constitution theory of Chinese medicine, there are three main ideas. The first one is: constitutions can be divided to nine types in the Chinese population. Prevention and treatment of disease can be divided according to the constitutional type. This reflects personalized or individualized of 4P. The second one is: certain constitution is correlated to certain disease. So constitution differentiation can be used to predict the occurrence of any kind disease. The third one is: Disease can be prevented through regulating correlated constitutions. And during the course of constitution differentiation, the object of service or patients can participate in the whole course. In summary, the research of Chinese medical constitution embodies the application and practice of 4P medical model. And it provided reference for studying and developing other subjects under the present medical model.

  19. Study on the Influence of the Work Hardening Models Constitutive Parameters Identification in the Springback Prediction

    International Nuclear Information System (INIS)

    Oliveira, M.C.; Menezes, L. F.; Alves, J.L.; Chaparro, B.M.

    2005-01-01

    The main goal of this work is to determine the influence of the work hardening model in the numerical prediction of springback. This study will be performed according with the specifications of the first phase of the 'Benchmark 3' of the Numisheet'2005 Conference: the 'Channel Draw'. Several work hardening constitutive models are used in order to allow a better description of the different material mechanical behavior. Two are classical pure isotropic hardening models described by a power law (Swift) or a Voce type saturation equation. Those two models were also combined with a non-linear (Lemaitre and Chaboche) kinematic hardening rule. The final one is the Teodosiu microstructural hardening model. The study is performed for two commonly used steels of the automotive industry: mild (DC06) and dual phase (DP600) steels. The mechanical characterization, as well as the constitutive parameters identification of each work hardening models, was performed by LPMTM, based on an appropriate set of experimental data such as uniaxial tensile tests, monotonic and Bauschinger simple shear tests and orthogonal strain path tests, all at various orientations with respect to the rolling direction. All the simulations were carried out with the CEMUC's home code DD3IMP (contraction of 'Deep Drawing 3-D IMPlicit code')

  20. Constitutional law and international law at the turn of the century

    Directory of Open Access Journals (Sweden)

    JA Frowein

    1998-11-01

    Full Text Available Constitutional law and international law operate in simultaneous conjunction and reciprocal tension. Both fields seem to have overcome the great challenges of destruction and neglect in the course of the 20th century.Both after World War I and World War II the world experienced new waves of constitution making. In both cases the current German constitutions (the Weimar Constitution of 1919 and the Grundgesetz of 1949 were influential.Characteristic of constitution-making in this century, is the final victory of liberal constitutions based on the rule of law, the Rechtsstaat, fundamental rights, meaningful control of public powers and the establishment of constitutional courts.Following the destruction of World War II, the notion of the Sozialstaat emerged strongly in Germany. In contrast to the Constitution of the United States of America, the principle of the responsibility of the state for social justice has emerged in almost all new constitutions, including Russia, Poland, South Africa, Spain, Italy and Portugal.Where courts are given the mandate to interpret bills of rights, fundamental rights have been developed into foundation stones of the legal system. The presence in a Bill of Rights of restrictive clauses, is important for its analysis. Generally restrictive clauses in new constitutions try to limit the possibilities of restriction.The importance of constitutional rules establishing and legitimizing the political organs, must not be overlooked. Of particular importance is the degree of control over the head of state, a positive attitude among political actors towards the constitution and the protection of the interests of minorities in a democratic system.In the field of Public International Law much of Kant's ideal of an international confederation of peace has been realized. Since 1990 the United Nation's Security Council has shown the potential of becoming a directorate for the community of nations.International law has also been

  1. 42 CFR 23.28 - What events constitute default?

    Science.gov (United States)

    2010-10-01

    ... 42 Public Health 1 2010-10-01 2010-10-01 false What events constitute default? 23.28 Section 23.28 Public Health PUBLIC HEALTH SERVICE, DEPARTMENT OF HEALTH AND HUMAN SERVICES PERSONNEL NATIONAL HEALTH... default? The following events will constitute defaults of the loan agreement: (a) Failure to make full...

  2. Determination of brazed joint constitutive law by inverse method

    International Nuclear Information System (INIS)

    Lovato, G.; Moret, F.; Gallo, P. le; Cailletaud, G.; Pilvin, P.

    1993-01-01

    An important parameter often neglected for the calculation of residual stresses in brazed ceramic/metal assemblies is the joint constitutive law. In situ camber measurements on a model system (axisymmetric TZM/InCuSil ABA/316L samples) performed using a special vertical dilatometer during the whole brazing thermal cycle are compared with results of FEM calculations based on published filler metal constitutive laws. A strong disagreement is observed. Actual constitutive law of the joint is determined from these measurements using a numerical inverse method. Calculated displacements are fully consistent with experimental ones. True solidification temperature of the joint is determined. The identified constitutive law of the joint exhibits a low flow stress from solidification temperature to 320 C. (orig.)

  3. Modernity, Rationality and Constitutional Law in Muslim-Majority Countries

    DEFF Research Database (Denmark)

    Abat Ninet, Antoni

    Are Islamic law, human rights and constitutionalism compatible? In answering this question, this paper first discusses the concept of modernity (understood in terms of rationality and standardization), analysing its abrupt implementation in the MENA countries and the role that the first modern...... constitutions played in institutionalising a new sort of dominion in the newly established states. Against this background, the paper discusses the relationship between constitutionalism and Shari’a law, presenting this as a clash between two competing normative visions that are conceptually difficult...... to reconcile and which each claim exclusivity and hierarchical superiority. The paper advocates for a deconstruction of the ideas of human rights and constitutionalism in order to allow for the incorporation of elements of Muslim traditions, thus challenging the understanding of human rights...

  4. Jonathan's Constitutional Conference in Nigeria

    African Journals Online (AJOL)

    ian

    2013-10-01

    Oct 1, 2013 ... Adeniyi S. Basiru is an independent researcher and a PhD candidate ... constitution-making are fundamentally the exclusive reserve of the elites, ..... agenda must be situated against the background of events that heralded his.

  5. Ivor Jennings's Constitutional Legacy beyond the Occidental-Oriental Divide

    OpenAIRE

    Malagodi, M.

    2015-01-01

    Sir W. Ivor Jennings (1903–1965) was one of Britain's most prominent constitutional law scholars of the twentieth century. He is mostly famed for his work in the 1930s on English Public Law. In 1941, Jennings, however, moved to Sri Lanka, progressively becoming involved in both an academic and professional capacity with constitutional processes across the decolonizing world in the early stages of the Cold War. This article provides an alternative account of Jennings's constitutional legacy to...

  6. Exact and analytic solutions of the Ernst equation governing axially symmetric stationary vacuum gravitational fields

    International Nuclear Information System (INIS)

    Baxter, Mathew; Van Gorder, Robert A

    2013-01-01

    We obtain solutions to a transformation of the axially symmetric Ernst equation, which governs a class of exact solutions of Einstein's field equations. Physically, the equation serves as a model of axially symmetric stationary vacuum gravitational fields. By an application of the method of homotopy analysis, we are able to construct approximate analytic solutions to the relevant boundary value problem in the case where exact solutions are not possible. The results presented constitute a solution for a complicated nonlinear and singular initial value problem. Through appropriate selection of the auxiliary linear operator and convergence control parameter, we are able to obtain low order approximations which minimize residual error over the problem domain. The benefit to such approach is that we obtain very accurate approximations after computing very few terms, hence the computational efficiency is high. Finally, an exact solution is provided in a special case, and this corresponds to the analytical solutions obtained in the more general case. The approximate solutions agree qualitatively with the exact solutions. (paper)

  7. Analysis of wave equation in electromagnetic field by Proca equation

    International Nuclear Information System (INIS)

    Pamungkas, Oky Rio; Soeparmi; Cari

    2017-01-01

    This research is aimed to analyze wave equation for the electric and magnetic field, vector and scalar potential, and continuity equation using Proca equation. Then, also analyze comparison of the solution on Maxwell and Proca equation for scalar potential and electric field, both as a function of distance and constant wave number. (paper)

  8. Comparison of Kernel Equating and Item Response Theory Equating Methods

    Science.gov (United States)

    Meng, Yu

    2012-01-01

    The kernel method of test equating is a unified approach to test equating with some advantages over traditional equating methods. Therefore, it is important to evaluate in a comprehensive way the usefulness and appropriateness of the Kernel equating (KE) method, as well as its advantages and disadvantages compared with several popular item…

  9. Derivation of the phase field equations from the thermodynamic extremal principle

    International Nuclear Information System (INIS)

    Svoboda, J.; Fischer, F.D.; McDowell, D.L.

    2012-01-01

    Thermodynamics employs quantities that characterize the state of the system and provides driving forces for system evolution. These quantities can be applied by means of the thermodynamic extremal principle to obtain models and consequently constitutive equations for the evolution of the thermodynamic systems. The phase field method is a promising tool for simulation of the microstructure evolution in complex systems but introduces several parameters that are not standard in thermodynamics. The purpose of this paper is to show how the phase field method equations can be derived from the thermodynamic extremal principle, allowing the common treatment of the phase field parameters together with standard thermodynamic parameters in future applications. Fixed values of the phase field parameters may, however, not guarantee fixed values of thermodynamic parameters. Conditions are determined, for which relatively stable values of the thermodynamic parameters are guaranteed during phase field method simulations of interface migration. Finally, analytical relations between the thermodynamic and phase field parameters are found and verified for these simulations. A slight dependence of the thermodynamic parameters on the driving force is determined for the cases examined.

  10. Integral equations

    CERN Document Server

    Moiseiwitsch, B L

    2005-01-01

    Two distinct but related approaches hold the solutions to many mathematical problems--the forms of expression known as differential and integral equations. The method employed by the integral equation approach specifically includes the boundary conditions, which confers a valuable advantage. In addition, the integral equation approach leads naturally to the solution of the problem--under suitable conditions--in the form of an infinite series.Geared toward upper-level undergraduate students, this text focuses chiefly upon linear integral equations. It begins with a straightforward account, acco

  11. Partial Differential Equations

    CERN Document Server

    1988-01-01

    The volume contains a selection of papers presented at the 7th Symposium on differential geometry and differential equations (DD7) held at the Nankai Institute of Mathematics, Tianjin, China, in 1986. Most of the contributions are original research papers on topics including elliptic equations, hyperbolic equations, evolution equations, non-linear equations from differential geometry and mechanics, micro-local analysis.

  12. Nonlinear evolution equations

    CERN Document Server

    Uraltseva, N N

    1995-01-01

    This collection focuses on nonlinear problems in partial differential equations. Most of the papers are based on lectures presented at the seminar on partial differential equations and mathematical physics at St. Petersburg University. Among the topics explored are the existence and properties of solutions of various classes of nonlinear evolution equations, nonlinear imbedding theorems, bifurcations of solutions, and equations of mathematical physics (Navier-Stokes type equations and the nonlinear Schrödinger equation). The book will be useful to researchers and graduate students working in p

  13. FMTLxLyLz DIMENSIONAL EQUAT DIMENSIONAL EQUATION ...

    African Journals Online (AJOL)

    eobe

    plant made of 12mm thick steel plate was used in de steel plate ... water treatment plant. ... ameters affecting filtration processes were used to derive an equation usin ..... system. However, in deriving the equation onl terms are incorporated.

  14. The road to democracy: The development of constitutionalism in Serbia 1869-1903

    Directory of Open Access Journals (Sweden)

    Bataković Dušan T.

    2007-01-01

    Full Text Available After the swiftly abolished liberal Constitution of 1835 and the imposed 'Turkish' one of 1838 (imposed by the Russians and Ottomans, guarantors of Serbia's autonomy granted in 1830, to limit the princely power, the development of constitutionalism in modern Serbia went through several phases. As elsewhere in the Balkans, constitutions usually resulted from a compromise between the ruler and the elites rather than from the will of the people. The 1868 Constitution drew to an extent upon the early nineteenth-century German constitutional monarchies, but, under pressure from the politically mobilized population, the 1888 Constitution, proposed by the Radical Party in response to the egalitarian aspirations of the nation's agrarian majority, adopted a French constitutional model - with a unicameral system and frequent coalition governments. Shaped on the model of the Belgian Constitution of 1831, which in its turn was a modified version of the French Charte of 1830, it restored a French influence, expressed for the first time in the 1835 Constitution. The 1888 Constitution was passed by the Grand National Assembly with its five-sixth majority of Radicals, representatives of the agrarian majority. It was soon annulled by the coup d'état of 1894 and the Court-imposed Constitution of 1869 was reinstituted. The Constitution of 1901 was an attempt to introduce a bicameral system as a means of upholding the influential role of the ruler, while limiting that of the Radical Party, which had enjoyed an ample electoral support since the 1888 Constitution. After the assassination in 1903 of the last Obrenović ruler king Alexander, and his wife, queen Draga, the liberal Constitution of 1888 with minor modifications was reinstituted. Under this Constitution - which is commonly known as the 1903 Constitution and which, during the democratic reign of king Peter I Karđorđević, was no longer challenged - Serbian democracy remained fragile, because there was no

  15. Kinetic equations for an unstable plasma; Equations cinetiques d'un plasma instable

    Energy Technology Data Exchange (ETDEWEB)

    Laval, G; Pellat, R [Commissariat a l' Energie Atomique, Fontenay-aux-Roses (France). Centre d' Etudes Nucleaires

    1968-07-01

    In this work, we establish the plasma kinetic equations starting from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy of equations. We demonstrate that relations existing between correlation functions may help to justify the truncation of the hierarchy. Then we obtain the kinetic equations of a stable or unstable plasma. They do not reduce to an equation for the one-body distribution function, but generally involve two coupled equations for the one-body distribution function and the spectral density of the fluctuating electric field. We study limiting cases where the Balescu-Lenard equation, the quasi-linear theory, the Pines-Schrieffer equations and the equations of weak turbulence in the random phase approximation are recovered. At last we generalise the H-theorem for the system of equations and we define conditions for irreversible behaviour. (authors) [French] Dans ce travail nous etablissons les equations cinetiques d'un plasma a partir des equations de la recurrence de Bogoliubov, Born, Green, Kirkwood et Yvon. Nous demontrons qu'entre les fonctions de correlation d'un plasma existent des relations qui permettent de justifier la troncature de la recurrence. Nous obtenons alors les equations cinetiques d'un plasma stable ou instable. En general elles ne se reduisent pas a une equation d'evolution pour la densite simple, mais se composent de deux equations couplees portant sur la densite simple et la densite spectrale du champ electrique fluctuant. Nous etudions le cas limites ou l'on retrouve l'equation de Balescu-Lenard, les equations de la theorie quasi-lineaire, les equations de Pines et Schrieffer et les equations de la turbulence faible dans l'approximation des phases aleatoires. Enfin, nous generalisons le theoreme H pour ce systeme d'equations et nous precisons les conditions d'evolution irreversible. (auteurs)

  16. RECEPTING THE PRINCIPLE OF SUPREMACY OF CONSTITUTION ON THE NEW PENAL CODE

    Directory of Open Access Journals (Sweden)

    Marius ANDREESCU

    2016-07-01

    Full Text Available The supremacy of Constitution has as main consequence the compliance of entire law with the constitutional norms. Guaranteeing of the observance of this principle is essential for the rule of law, is primarily an attribute of the Constitutional Court, but also an obligation of the legislator to receive by texts adopted, within its content and form, the constitutional norms. Entering into force of the new criminal codes generated a significant jurisprudence of the Constitutional Court on the verification of constitutionality of some regulations in the Criminal Code and Criminal Procedure Code. Through this study we intend to analyze the following key issues: a how were the constitutional principles and values embodied in some criminal and criminal procedural norms of the new codes; b the effects of Constitutional Court decisions in the process of constitutionalizing of the criminal law; c applying into judicial activities of the Constitutional Court decisions, particularly those through which the new Criminal Code regulations were found unconstitutional.

  17. The Constitution's Prescription for Freedom.

    Science.gov (United States)

    Peach, Lucinda

    1986-01-01

    Examines how the framers of the Constitution came to choose our system of government, how that system was designed to function, and how the separation of powers has served to maintain our democracy despite attempts to violate it. (JDH)

  18. Is it possible to protect constitutional rights through simple procedural law

    International Nuclear Information System (INIS)

    Dolde, K.P.

    1982-01-01

    In the administration of justice and in legal literature of the Federal Republic of Germany increasingly more emphasis has been placed on the significance of procedural rights for the realization of basic civil rights, as they were defined in the constitution. Especially in the decision concerning the nuclear power plant at Muehlheim-Kaerlich, the Federal Constitutional Court has stressed the protection of constitutional rights by hearing the case in conjunction with the question of licensing of large industrial plants. Relevant to the protection of basic civil and constitutional rights are, according to the court, not only those regulations as prescribed by the constitution, but also those which, according to the will of the legislature, principally guarantee a constitutional right. The protection of basic rights is thus also guaranteed by civil rights, and not only through the constitution. In the opinion of the author, this will cause serious repercussions which should make corrections of this type of administration of justice necessary. (WBI) [de

  19. equate: An R Package for Observed-Score Linking and Equating

    Directory of Open Access Journals (Sweden)

    Anthony D. Albano

    2016-10-01

    Full Text Available The R package equate contains functions for observed-score linking and equating under single-group, equivalent-groups, and nonequivalent-groups with anchor test(s designs. This paper introduces these designs and provides an overview of observed-score equating with details about each of the supported methods. Examples demonstrate the basic functionality of the equate package.

  20. Relationships among Constitution, Stress, and Discomfort in the First Trimester

    Directory of Open Access Journals (Sweden)

    Hsiao-Ling Wang

    2012-01-01

    trimester of pregnancy. We adopted a descriptive and correlational research design and collected data from 261 pregnant women during their first trimester in southern Taiwan using structured questionnaires. Results showed that (1 stress was significantly and positively correlated with Yang-Xu, Yin-Xu, and Tan-Shi-Yu-Zhi constitutions, respectively; (2 Yin-Xu and Tan-Shi-Yu-Zhi constitutions had significant correlations with all symptoms of discomfort, while Yang-Xu had significant correlations with all symptoms of discomfort except for “running nose”; (3 Tan-Shi-Yu-Zhi constitution and stress were two indicators for “fatigue”; Tan-Shi-Yu-Zhi was the indicator for “nausea”; Yang-Xu and Yin-Xu were indicators for “frequent urination.” Our findings also indicate that stress level affects constitutional changes and that stress and constitutional change affect the incidence of discomfort. This research can help healthcare professionals observe these discomforts and provide individualized care for pregnant women, to nurture pregnant women into neutral-type constitution, minimize their levels of discomfort, and promote the health of the fetus and the mother.