Braiding Parameters of Medical Silk Braided Suture
Institute of Scientific and Technical Information of China (English)
张佩华; 吴建华
2001-01-01
The relationships between braiding parameters and properties of medical silk braided suture are investigated. Experimental results indicate that the main factors affecting the suture properties include the proportion of core silk and shell silk, braiding density and braiding tension. The results show that the braiding technology significantly influences the suture properties and the optimal braiding parameters were obtained by using the regression method.
Bökstedt, Marcel
2016-01-01
We study a novel type of braid groups on a closed orientable surface $\\Sigma$. These are fundamental groups of certain manifolds that are hybrids between symmetric products and configuration spaces of points on $\\Sigma$; a class of examples arises naturally in gauge theory, as moduli spaces of vortices in toric fibre bundles over $\\Sigma$. The elements of these braid groups, which we call divisor braids, have coloured strands that are allowed to intersect according to rules specified by a graph $\\Gamma$. In situations where there is more than one strand of each colour, we show that the corresponding braid group admits a metabelian presentation as a central extension of the free Abelian group $H_1(\\Sigma;\\mathbb{Z})^{\\oplus r}$, where $r$ is the number of colours, and describe its Abelian commutator. This computation relies crucially on producing a link invariant (of closed divisor braids) in the three-manifold $S^1 \\times \\Sigma $ for each graph $\\Gamma$. We also describe the von Neumann algebras associated t...
Unprovability results involving braids
Carlucci, Lorenzo; Weiermann, Andreas
2007-01-01
We construct long sequences of braids that are descending with respect to the standard order of braids (``Dehornoy order''), and we deduce that, contrary to all usual algebraic properties of braids, certain simple combinatorial statements involving the braid order are true, but not provable in the subsystems ISigma1 or ISigma2 of the standard Peano system.
Fibonacci numbers and positive braids
Ashraf, Rehana; Riasat, Ayesha
2010-01-01
The paper contains enumerative combinatorics for positive braids, square free braids, and simple braids, emphasizing connections with classical Fibonacci sequence. The simple subgraph of the Cayley graph of the braid group is analyzed in the final part.
Gebhardt, Volker
2011-01-01
We present an algorithm to generate positive braids of a given length as words in Artin generators with a uniform probability. The complexity of this algorithm is polynomial in the number of strands and in the length of the generated braids. As a byproduct, we describe a finite state automaton accepting the language of lexicographically minimal representatives of positive braids that has the minimal possible number of states, and we prove that its number of states is exponential in the number of strands.
On braid monodromy factorizations
Energy Technology Data Exchange (ETDEWEB)
Kharlamov, V M [Institut de Recherche Matematique Avanee Universite Louis Pasteur et CNRS 7 rue Rene Descartes (France); Kulikov, Vik S [Steklov Mathematical Institute, Russian Academy of Sciences (Russian Federation)
2003-06-30
We introduce and develop a language of semigroups over the braid groups to study the braid monodromy factorizations (bmf's) of plane algebraic curves and other related objects. As an application, we give a new proof of Orevkov's theorem on the realization of bmf's over a disc by algebraic curves and show that the complexity of such a realization cannot be bounded in terms of the types of factors of the bmf. We also prove that the type of a bmf distinguishes Hurwitz curves with singularities of inseparable type up to H-isotopy and J-holomorphic cuspidal curves in CP{sup 2} up to symplectic isotopy.
Probability and (Braiding) Statistics
2016-01-01
Given recent progress in the realization of Majorana zero modes in semiconducting nanowires with proximity-induced superconductivity, a crucial next step is to attempt an experimental demonstration of the predicted braiding statistics associated with the Majorana mode. Such a demonstration should, in principle, confirm that observed zero-bias anomalies are indeed indicative of the presence of anyonic Majorana zero modes. Moreover, such a demonstration would be a breakthrough at the level of f...
Generalized braided Hopf algebras
Institute of Scientific and Technical Information of China (English)
LU Zhong-jian; FANG Xiao-li
2009-01-01
The concept of (f, σ)-pair (B, H)is introduced, where B and H are Hopf algebras. A braided tensor category which is a tensor subcategory of the category HM of left H-comodules through an (f, σ)-pair is constructed. In particularly, a Yang-Baxter equation is got. A Hopf algebra is constructed as well in the Yetter-Drinfel'd category HHYD by twisting the multiplication of B.
Bicharacters, braids and Jacobi identity
Rozansky, L
1996-01-01
For an abelian group G we consider braiding in a category of G-graded modules $M^{kG}$ given by a bicharacter \\chi on G. For $(G,\\chi)$-bialgebra A in $M^{kG}$ an analog of Lie bracket is defined. This bracket is determined by a linear map $E\\in\\End(A)$ and n-ary operations $\\Omega^{n}_{E}$ on A. Our result states that if $E(1)=0,E^{2}=0$ and $\\Omega^{3}_{E}=0$ then a braided Jacobi identity holds and the linear map E is a braided derivation of a braided Lie algebra.
Kummer covers and braid monodromy
Bartolo, Enrique Artal; Ortigas-Galindo, Jorge
2012-01-01
In this work we describe a method to reconstruct the braid monodromy of the preimage of a curve by a Kummer cover. This method is interesting, since it combines two techniques, namely, the reconstruction of a highly non-generic braid monodromy with a systematic method to go from a non-generic to a generic braid monodromy. This "generification" method is independent from Kummer covers and can be applied in more general circumstances since non generic braid monodromies appear more naturally and are oftentimes much easier to compute. Explicit examples are computed using these techniques.
Dynnikov coordinates on virtual braid groups
Bardakov, Valerij G; Wiest, Bert
2011-01-01
We define Dynnikov coordinates on virtual braid groups. We prove that they are faithful invariants of virtual 2-braids, and present evidence that they are also very powerful invariants for general virtual braids.
Gonzalez-Meneses, Juan
2010-01-01
These are Lecture Notes of a course given by the author at the French-Spanish School "Tresses in Pau", held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be used to show results in braid groups. Using these techniques we provide several proofs of well known results in braid groups, namely the correctness of Artin's presentation, that the braid group is torsion free, or that its center is generated by the full twist. We also recall some solutions of the word and conjugacy problems, and that roots of a braid are always conjugate. We also describe the centralizer of a given braid. Most proofs are classical ones, using modern terminology. I have chosen those which I find simpler or more beautiful.
Group theory analysis of braided geometry structures
Institute of Scientific and Technical Information of China (English)
FENG Wei; MA Wensuo
2005-01-01
The braided geometry structures are analyzed with point groups and space groups for which the continuous yarn of the braided preforms is segmented and expressed in some special symbols. All structures of braided material are described and classified with group theory, and new braiding methods are found. The group theory analysis lays the theoretical foundation for optimizing material performance.
Twisted conjugacy in braid groups
González-Meneses, Juan
2011-01-01
In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids $u,v\\in B_n$ and an automorphism $\\phi \\in Aut (B_n)$, decides whether $v=(\\phi (x))^{-1}ux$ for some $x\\in B_n$. As a corollary, we deduce that each group of the form $B_n \\rtimes H$, a semidirect product of the braid group $B_n$ by a torsion-free hyperbolic group $H$, has solvable conjugacy problem.
Cable Braid Electromagnetic Penetration Model.
Energy Technology Data Exchange (ETDEWEB)
Warne, Larry K. [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States); Langston, William L. [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States); Basilio, Lorena I. [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States); Johnson, W. A. [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
2015-06-01
The model for penetration of a wire braid is rigorously formulated. Integral formulas are developed from energy principles and reciprocity for both self and transfer immittances in terms of potentials for the fields. The detailed boundary value problem for the wire braid is also setup in a very efficient manner; the braid wires act as sources for the potentials in the form of a sequence of line multipoles with unknown coefficients that are determined by means of conditions arising from the wire surface boundary conditions. Approximations are introduced to relate the local properties of the braid wires to a simplified infinite periodic planar geometry. This is used in a simplified application of reciprocity to be able to treat nonuniform coaxial geometries including eccentric interior coaxial arrangements and an exterior ground plane.
Reducible braids and Garside theory
Gonzalez-Meneses, Juan
2010-01-01
We show that reducible braids which are, in a Garside-theoretical sense, as simple as possible within their conjugacy class, are also as simple as possible in a geometric sense. More precisely, if a braid belongs to a certain subset of its conjugacy class which we call the stabilized set of sliding circuits, and if it is reducible, then its reducibility is geometrically obvious: it has a round or almost round reducing curve. Moreover, for any given braid, an element of its stabilized set of sliding circuits can be found using the well-known cyclic sliding operation. This leads to a polynomial time algorithm for deciding the Nielsen-Thurston type of any braid, modulo one well-known conjecture on the speed of convergence of the cyclic sliding operation.
Institute of Scientific and Technical Information of China (English)
LIU Guo-hua; ZHANG Pei-hua; WANG Wen-zu; FENG Xun-wei; LIU Hong-feng
2004-01-01
A biodegradable nerve regeneration conduit has been developed by the regular braided technique on a spindle-braiding machine. The geometry property indexes of braided nerve conduit consist of pitch, density, wall thickness and porosity etc. In this article, the influences of the braiding parameters i.e. the linear density of yarn, gear ratio and spindle number of the braiding machine on these geometry property indexes of nerve conduit were discussed from which the optimal braiding parameters were obtained.
Genetic braid optimization: A heuristic approach to compute quasiparticle braids
McDonald, Ross B.; Katzgraber, Helmut G.
2013-02-01
In topologically protected quantum computation, quantum gates can be carried out by adiabatically braiding two-dimensional quasiparticles, reminiscent of entangled world lines. Bonesteel [Phys. Rev. Lett.10.1103/PhysRevLett.95.140503 95, 140503 (2005)], as well as Leijnse and Flensberg [Phys. Rev. B10.1103/PhysRevB.86.104511 86, 104511 (2012)], recently provided schemes for computing quantum gates from quasiparticle braids. Mathematically, the problem of executing a gate becomes that of finding a product of the generators (matrices) in that set that approximates the gate best, up to an error. To date, efficient methods to compute these gates only strive to optimize for accuracy. We explore the possibility of using a generic approach applicable to a variety of braiding problems based on evolutionary (genetic) algorithms. The method efficiently finds optimal braids while allowing the user to optimize for the relative utilities of accuracy and/or length. Furthermore, when optimizing for error only, the method can quickly produce efficient braids.
Braiding Knots in Contact 3-Manifolds
Pavelescu, Elena
2009-01-01
We show that a transverse link in a contact structure supported by an open book decomposition can be transversely braided. We also generalize Markov's theorem on when the closures of two braids represent (transversely) isotopic links.
Permutation Analysis of Track and Column Braiding
Institute of Scientific and Technical Information of China (English)
李毓陵; 丁辛; 胡良剑
2004-01-01
The positions of braiding carrier in track and column braiding are represented by a diagrammatic braiding plan and a corresponding lattice-array is defined. A set is then formed so that the permutation analysis can be performed to represent the movement of carriers in a braiding process. The process of 4-step braiding is analyzed as an example to describe the application of the proposed method by expressing a braiding cycle as a product of disjoint cycles. As a result, a mapping relation between the disjoint cycles and the movement of carriers is deduced. Following the same analysis principles, a process of 8-step braiding and the corresponding initial state of the lattice-array is developed. A successful permutation analysis to the process manifests the general suitability of the proposed method.
Abstract commensurators of braid groups
Leininger, Christopher J; Margalit, Dan
2005-01-01
Let B_n be the braid group on n strands, with n at least 4, and let Mod(S) be the extended mapping class group of the sphere with n+1 punctures. We show that the abstract commensurator of B_n is isomorphic to a semidirect product of Mod(S) with a group we refer to as the transvection subgroup, Tv(B_n). We also show that Tv(B_n) is itself isomorphic to a semidirect product of an infinite dimensional rational vector space with the multiplicative group of nonzero rational numbers.
A yarn interaction model for circular braiding
Ravenhorst, van J.H.; Akkerman, R.
2016-01-01
Machine control data for the automation of the circular braiding process has been generated using previously published mathematical models that neglect yarn interaction. This resulted in a significant deviation from the required braid angle at mandrel cross-sectional changes, likely caused by an inc
Emergent Braided Matter of Quantum Geometry
Directory of Open Access Journals (Sweden)
Sundance Bilson-Thompson
2012-03-01
Full Text Available We review and present a few new results of the program of emergent matter as braid excitations of quantum geometry that is represented by braided ribbon networks. These networks are a generalisation of the spin networks proposed by Penrose and those in models of background independent quantum gravity theories, such as Loop Quantum Gravity and Spin Foam models. This program has been developed in two parallel but complimentary schemes, namely the trivalent and tetravalent schemes. The former studies the braids on trivalent braided ribbon networks, while the latter investigates the braids on tetravalent braided ribbon networks. Both schemes have been fruitful. The trivalent scheme has been quite successful at establishing a correspondence between braids and Standard Model particles, whereas the tetravalent scheme has naturally substantiated a rich, dynamical theory of interactions and propagation of braids, which is ruled by topological conservation laws. Some recent advances in the program indicate that the two schemes may converge to yield a fundamental theory of matter in quantum spacetime.
Matrix Algorithm for Braiding Simulation of Three-Dimensional Four-Step Braided Composites
Directory of Open Access Journals (Sweden)
Xin Ma
2016-01-01
Full Text Available This paper proposes a new kind of computational approach of three-dimensional (3D braiding simulation based on matrix theory and symbol operation, which is suitable for batch integral calculation. The approach can be used to calculate braiding matrix at any step. Different braiding matrices fully reflect yarn carrier position changes. Using the braiding matrix calculation, the approach can provide data for storing yarn carrier paths, also termed braiding paths. The 3D braiding paths study was conducted to better visualization and thereby analyse the carrier’s movement characteristics and principles of operation. Finally, a program was designed to provide a reference for the mathematical model in further research.
Experimental investigation of braided fabric forming
Wang, Peng; Soulat, Damien; Legrand, Xavier; Zemni, Lilia; Jacquot, Pierre-Baptiste
2016-10-01
Woven and braided textile structures are largely used as the composite reinforcements. Forming of the continuous fibre reinforcements and thermoplastic resin commingled yarns can be performed at room temperature. The "cool" forming stage is well-controlled and more economical compared to thermoforming. Many studies have been addressed for carbon and glass fibres / thermoplastic commingled yarns reinforced composite forming for woven structure. On the contrary, few research works has deal with the natural fibre reinforced textile forming and none concerns the braided fabrics forming. In this present work, the Flax/Polyamide 12 commingled yarns are used to produce braided fabric and then to analyze their deformability behaviour.
Detecting coherent structures using braids
Allshouse, Michael R
2011-01-01
The detection of coherent structures is an important problem in fluid dynamics, particularly in geophysical applications. For instance, knowledge of how regions of fluid are isolated from each other allows prediction of the ultimate fate of oil spills. Existing methods detect Lagrangian coherent structures, which are barriers to transport, by examining the stretching field as given by finite-time Lyapunov exponents. These methods are very effective when the velocity field is well-determined, but in many applications only a small number of flow trajectories are known, for example when dealing with oceanic float data. We introduce a topological method for detecting invariant regions based on a small set of trajectories. In the method we regard the two-dimensional trajectory data as a braid in three dimensions, with time being the third coordinate. Invariant regions then correspond to trajectories that travel together and do not entangle other trajectories. We detect these regions by examining the growth of hypo...
Braided magnetic fields: equilibria, relaxation and heating
Pontin, D I; Russell, A J B; Hornig, G
2015-01-01
We examine the dynamics of magnetic flux tubes containing non-trivial field line braiding (or linkage), using mathematical and computational modelling. The key results obtained from recent modelling efforts are summarised, in the context of testable predictions for the laboratory. We discuss the existence of braided force-free equilibria, and demonstrate that for a field anchored at perfectly-conducting plates, these equilibria exist and contain current sheets whose thickness scales inversely with the braid complexity - as measured for example by the topological entropy. By contrast, for a periodic domain braided exact equilibria typically do not exist, while approximate equilibria contain thin current sheets. In the presence of resistivity, reconnection is triggered at the current sheets and a turbulent relaxation ensues. We discuss the properties of this relaxation, and in particular the existence of constraints that may mean that the final state is not the linear force-free field predicted by Taylor's hypo...
Infinitesimal 2-braidings and differential crossed modules
Cirio, Lucio S
2013-01-01
We categorify the notion of an infinitesimal braiding in a linear strict symmetric monoidal category, leading to the notion of a (strict) infinitesimal 2-braiding in a linear symmetric strict monoidal 2-category. We describe the associated categorification of the 4-term relation, leading to six categorified relations. We prove that any infinitesimal 2-braiding gives rise to a flat and fake flat 2-connection in the configuration space of $n$ undistinguishable particles in the complex plane, hence to a categorification of the Knizhnik-Zamolodchikov connection. We discuss infinitesimal 2-braidings in a category naturally assigned to every differential crossed module, leading to the notion of a quasi-invariant tensor in a differential crossed module. Finally we prove that quasi-invariant tensors exist in the differential crossed module associated to the string Lie-2-algebra.
Symmetric centres of braided monoidal categories
Institute of Scientific and Technical Information of China (English)
无
2000-01-01
This paper introduces the concept of‘symmetric centres' of braided monoidal categories. Let H be a Hopf algebra with bijective antipode over a field k. We address the symmetric centre of the Yetter-Drinfel'd module category HH(yD) and show that a left Yetter-Drinfel'd module M belongs to the symmetric centre of HH(yD) if and only if M is trivial. We also study the symmetric centres of categories of representations of quasitriangular Hopf algebras and give a sufficient and necessary condition for the braid of H(M) to induce the braid of (H(H)(A),(○)A,A,φ,l,r), or equivalently, the braid of (A#H(H),(○)A,A,φ,l,r), where A is a quantum commutative H-module algebra.
Modelling planform changes of braided rivers
Jagers, Hendrik Reinhard Albert
2003-01-01
This study has focused on modelling techniques to predict planform changes of braided rivers and their relation with state-of-the-art knowledge on the physical processes and the availability of model input data
The Braid-Based Bit Commitment Protocol
Institute of Scientific and Technical Information of China (English)
WANG Li-cheng; CAO Zhen-fu; CAO Feng; QIAN Hai-feng
2006-01-01
With recent advances of quantum computation, new threats have closed in upon to the classical public key cryptosystems. In order to build more secure bit commitment schemes, this paper gave a survey of the new coming braid-based cryptography and then brought forward the first braid-based bit commitment protocol. The security proof manifests that the proposed protocol is computationally binding and information-theoretically hiding.Furthermore, the proposed protocol is also invulnerable to currently known quantum attacks.
Self-diagnosing braided composite rod
Fangueiro, Raúl; Zdraveva, E.; Pereira, Cristiana Gonilho; Ferreira, A; Lanceros-Méndez, S.
2010-01-01
This paper presents the development of a braided reinforced composite rod (BCR) able to both reinforce and monitor the stress state of concrete structures. Carbon fibers have been used as sensing and reinforcing materials along with glass fiber. Various composites rods have been produced using an author patented technique based on a modified conventional braiding machine. The materials investigated were prepared with different carbon fiber content as follows: BCR2 (77% glass/23...
Braided rings a scattering billiard model
Bénet, L
1999-01-01
We introduce a billiard scattering model consisting of two non-overlapping rotating discs in the context of the formation and structural properties of planetary rings. We show that due to the arrangement of the symmetric periodic orbits, stable orbits are found which in the configuration space lead to the appearance of patterns qualitatively similar to planetary rings. Rings associated with different stability regions are naturally braided; different braids may overlap displaying features similar to clumps. Erosion mechanisms within the model are discussed.
Minimal Braid in Applied Symbolic Dynamics
Institute of Scientific and Technical Information of China (English)
张成; 张亚刚; 彭守礼
2003-01-01
Based on the minimal braid assumption, three-dimensional periodic flows of a dynamical system are reconstructed in the case of unimodal map, and their topological structures are compared with those of the periodic orbits of the Rossler system in phase space through the numerical experiment. The numerical results justify the validity of the minimal braid assumption which provides a suspension from one-dimensional symbolic dynamics in the Poincare section to the knots of three-dimensional periodic flows.
In Vitro Degradation of Polyglycolide/Chitosan Hybrid Braids
Institute of Scientific and Technical Information of China (English)
YUAN Xiaoyan; ZHANG Qingwei; WANG Yonglin; YAO Kangde
2005-01-01
Hybrid braids of polyglycolide (PGA) and chitosan were prepared by the three-yarn braiding method from PGA and chitosan fiber bundles. These braids were in vitro degraded by incubating them in phosphate buffered saline (PBS) at pH 7.4 and 37 ℃ for 5 weeks. Results suggested that PGA/chitosan hybrid braids degraded significantly. Scanning electron micrographs showed that chitosan fibers in the PGA/chitosan hybrid braid with about 750% PGA in weight (PGA75/chitosan) were shaped into gel-like after 5 weeks, but those in the hybrid braid with about 250% PGA in weight (PGA25/chitosan) did not change. After 5 weeks, the ultimate tensile loads of PGA and PGA75/chitosan braids lost almost completely, but those of chitosan and PGA25/chitosan braids remained around 14 N. The PGA/chitosan hybrid braids with higher initial ultimate tensile load would have potential applications in tendon/ligament tissue reconstruction.
Internal Strain Measurement in 3D Braided Composites Using Co-braided Optical Fiber Sensors
Institute of Scientific and Technical Information of China (English)
Shenfang YUAN; Rui HUANG; Yunjiang RAO
2004-01-01
3D braided composite technology has stimulated a great deal of interest in the world at large. But due to the threedimensional nature of these kinds of composites, coupled with the shortcomings of currently-adopted experimental test methods, it is difficult to measure the internal parameters of this materials, hence causes it difficult to understand the material performance. A new method is introduced herein to measure the internal strain of braided composite materials using co-braided fiber optic sensors. Two kinds of fiber optic sensors are co-braided into 3D braided composites to measure internal strain. One of these is the Fabry-Parrot (F-P) fiber optic sensor; the other is the polarimetric fiber optic sensor. Experiments are conducted to measure internal strain under tension, bending and thermal environments in the 3D carbon fiber braided composite specimens, both locally and globally. Experimental results show that multiple fiber optic sensors can be braided into the 3D braided composites to measure the internal parameters, providing a more accurate measurement method and leading to a better understanding of these materials.
Equilibrium theory for braided elastic filaments
van der Heijden, Gert
Motivated by supercoiling of DNA and other filamentous structures, we formulate a theory for equilibria of 2-braids, i.e., structures formed by two elastic rods winding around each other in continuous contact and subject to a local interstrand interaction. Unlike in previous work no assumption is made on the shape of the contact curve. Rather, this shape is found as part of the solution. The theory is developed in terms of a moving frame of directors attached to one of the strands with one of the directors pointing to the position of the other strand. The constant-distance constraint is automatically satisfied by the introduction of what we call braid strains. The price we pay is that the potential energy involves arclength derivatives of these strains, thus giving rise to a second-order variational problem. The Euler-Lagrange equations for this problem give balance equations for the overall braid force and moment referred to the moving frame as well as differential equations that can be interpreted as effective constitutive relations encoding the effect that the second strand has on the first as the braid deforms under the action of end loads. Simple analytical cases are discussed first and used as starting solutions in parameter continuation studies to compute classes of both open and closed (linked or knotted) braid solutions.
On Vassiliev invariants of braid groups of the sphere
Kaabi, N
2012-01-01
We construct a universal Vassiliev invariant for braid groups of the sphere and the mapping class groups of the sphere with $n$ punctures. The case of a sphere is different from the classical braid groups or braids of oriented surfaces of genus strictly greater than zero, since Vassiliev invariants in a group without 2-torsion do not distinguish elements of braid group of a sphere.
Integrated Design for Manufacturing of Braided Preforms for Advanced Composites Part I: 2D Braiding
Gao, Yan Tao; Ko, Frank K.; Hu, Hong
2013-12-01
This paper presents a 2D braiding design system for advanced textile structural composites was based on dynamic models. A software package to assist in the design of braided preform manufacturing has been developed. The package allows design parameters (machine speeds, fiber volume fraction, tightness factor, etc.) to be easily obtained and the relationships between said parameters to be demonstrated graphically. The fabirc geometry model (FGM) method was adopted to evaluate the mechanical properties of the composites. Experimental evidence demonstrates the success of the use of dynamic models in the design software for the manufacture of braided fabric preforms.
Statistical Model of the 3-D Braided Composites Strength
Institute of Scientific and Technical Information of China (English)
XIAO Laiyuan; ZUO Weiwei; CAI Ganwei; LIAO Daoxun
2007-01-01
Based on the statistical model for the tensile statistical strength of unidirectional composite materials and the stress analysis of 3-D braided composites, a new method is proposed to calculate the tensile statistical strength of the 3-D braided composites. With this method, the strength of 3-D braided composites can be calculated with very large accuracy, and the statistical parameters of 3-D braided composites can be determined. The numerical result shows that the tensile statistical strength of 3-D braided composites can be predicted using this method.
Braid equivalence in 3-manifolds with rational surgery description
Diamantis, Ioannis; Lambropoulou, Sofia
2013-01-01
In this paper we describe braid equivalence for knots and links in a 3-manifold $M$ obtained by rational surgery along a framed link in $S^3$. We first prove a sharpened version of the Reidemeister theorem for links in $M$. We then give geometric formulations of the braid equivalence via mixed braids in $S^3$ using the $L$-moves and the braid band moves. We finally give algebraic formulations in terms of the mixed braid groups $B_{m,n}$ using cabling and the techniques of parting and combing ...
Ferrofluids, complex particle dynamics and braid description
Energy Technology Data Exchange (ETDEWEB)
Skjeltorp, A.T. E-mail: arne.skjeltorp@ife.no; Clausen, Sigmund; Helgesen, Geir
2001-05-01
Finely divided magnetic matter is important in many areas of science and technology. A special sub-class of systems are made up of freely moving particles suspended in a carrier liquid where the magnetic interactions play an important role in the actual structure formation and dynamical behaviour. These include ferrofluids, which are colloids of magnetic particles dispersed in carrier fluids, magnetic micro-beads, which are micrometer sized plastic beads loaded with iron oxide, and nonmagnetic particles dispersed in ferrofluids, forming the so-called 'magnetic holes'. How, in a simple and forceful way, is it possible to characterise the dynamics of systems with several moving components like dispersed magnetic particles subjected to external magnetic fields? The methods based on the theory of braids may provide the answer. Braid theory is a sub-field of mathematics known as topology. It involves classifying different ways of tracing curves in space. The topological description of braids thus provides a simple and concise language for describing the dynamics of a system of moving particles as if they perform a complicated dance as they move about one another, and the braid encodes the choreography of this dance.
Iadecola, Thomas; Schuster, Thomas; Chamon, Claudio
2016-08-01
Many topological phenomena first proposed and observed in the context of electrons in solids have recently found counterparts in photonic and acoustic systems. In this work, we demonstrate that non-Abelian Berry phases can arise when coherent states of light are injected into "topological guided modes" in specially fabricated photonic waveguide arrays. These modes are photonic analogues of topological zero modes in electronic systems. Light traveling inside spatially well-separated topological guided modes can be braided, leading to the accumulation of non-Abelian phases, which depend on the order in which the guided beams are wound around one another. Notably, these effects survive the limit of large photon occupation, and can thus also be understood as wave phenomena arising directly from Maxwell's equations, without resorting to the quantization of light. We propose an optical interference experiment as a direct probe of this non-Abelian braiding of light.
Braid group representation on quantum computation
Energy Technology Data Exchange (ETDEWEB)
Aziz, Ryan Kasyfil, E-mail: kasyfilryan@gmail.com [Department of Computational Sciences, Bandung Institute of Technology (Indonesia); Muchtadi-Alamsyah, Intan, E-mail: ntan@math.itb.ac.id [Algebra Research Group, Bandung Institute of Technology (Indonesia)
2015-09-30
There are many studies about topological representation of quantum computation recently. One of diagram representation of quantum computation is by using ZX-Calculus. In this paper we will make a diagrammatical scheme of Dense Coding. We also proved that ZX-Calculus diagram of maximally entangle state satisfies Yang-Baxter Equation and therefore, we can construct a Braid Group representation of set of maximally entangle state.
Geometric representations of the braid groups
Castel, Fabrice
2011-01-01
We show that the morphisms from the braid group with n strands in the mapping class group of a surface with a possible non empty boundary, assuming that its genus is smaller or equal to n/2 are either cyclic morphisms (their images are cyclic groups), or transvections of monodromy morphisms (up to multiplication by an element in the centralizer of the image, the image of a standard generator of the braid group is a Dehn twist, and the images of two consecutive standard generators are two Dehn twists along two curves intersecting in one point). As a corollary, we determine the endomorphisms, the injective endomorphisms, the automorphisms and the outer automorphism group of the following groups: the braid group with n strands where n is greater than or equal to 6, and the mapping class group of any surface of genus greater or equal than 2. For each statement involving the mapping class group, we study both cases: when the boundary is fixed pointwise, and when each boundary component is fixed setwise. We will al...
Creep Test of Polymer-matrix 3-D Braided Composites
Institute of Scientific and Technical Information of China (English)
无
2006-01-01
The long-term creep behavior of polymer-matrix 3-D braided composites was studied by using the tensile creep test method, and the effect of braiding structure, braiding angle and fiber volume fraction were discussed. The creep curve appears as expected, and can be defimed two phases,namely, the primary phase and the secondary phase. For each sample, strain increases with time rapidly, and then the strain rate decreases and appears to approach a constant rate of change (steady-state creep). The experiment results show that the creep resistant properties are improved while the braiding angle decreases or the fiber volume fraction increases, and that the five-directional braiding structure offers better creep resistant properties than the fourdirectional braiding structure.
Institute of Scientific and Technical Information of China (English)
Xianghua LI; Xiaohui LIU; Shenfang YUAN
2008-01-01
The experimental characterization of three-dimensional (3-D) braided composites is extremely important for their design and analysis. Because of their desirable attributes and outstanding performance, optical fiber sensors (OFSs) can be embedded to mon-itor mechanical properties of textile composites. This paper discusses two techniques to incorporate different OFSs into 3-D braided composite preforms. The oper-ating principle of various sensor systems is first con-ducted. Experiments using Michelson interferometers, FBG sensors, and micro-bend sensors are performed to verify the concept of the proposed method. Strain curves of various OFSs tests are finally compared, and they all exhibit good linearity.
A Categorical Model for the Virtual Braid Group
Kauffman, Louis H.; Lambropoulou, Sofia
2011-01-01
This paper gives a new interpretation of the virtual braid group in terms of a strict monoidal category SC that is freely generated by one object and three morphisms, two of the morphisms corresponding to basic pure virtual braids and one morphism corresponding to a transposition in the symmetric group. The key to this approach is to take pure virtual braids as primary. The generators of the pure virtual braid group are abstract solutions to the algebraic Yang-Baxter equation. This point of v...
On reduction curves and Garside properties of braids
Gonzalez-Meneses, Juan
2010-01-01
In this paper we study the reduction curves of a braid, and how they can be used to decompose the braid into simpler ones in a precise way, which does not correspond exactly to the decomposition given by Thurston theory. Then we study how a cyclic sliding (which is a particular kind of conjugation) affects the normal form of a braid with respect to the normal forms of its components. Finally, using the above methods, we provide the example of a family of braids whose sets of sliding circuits (hence ultra summit sets) have exponential size with respect to the number of strands and also with respect to the canonical length.
Validation of the physical modeling approach for braided rivers
Rosatti, Giorgio
2002-12-01
Laboratory channels are often used to study the complexity of braiding mechanisms for the advantages with respect to field studies. Nevertheless, the extensive use of experimental data raises the question of how representative laboratory braided channels are as compared to real braided rivers. This study verifies to what extent laboratory braided patterns reproduce the main features of braided rivers. Experimental data display isotropic and anisotropic scaling of braided patterns, state-space plot of total widths, anisotropic scaling of islands, and statistical distribution of island areas that are similar to those observed in real rivers. Moreover, the data reveals scaling in the perimeter-area relation. These results support both the reliability of experimental braided channels as physical models of braided rivers and also the possibility of investigating some aspects of braiding in the laboratory that are difficult to address in the field. The lack of preferential scales in island characteristics suggests that other phenomena must play a key role in generating island shapes besides classical sediment transport-based mechanisms which tend to select well-defined length scales.
The Pure Virtual Braid Group Is Quadratic
Lee, Peter
2011-01-01
If an augmented algebra K over Q is filtered by powers of its augmentation ideal I, the associated graded algebra gr_I K need not in general be quadratic: although it is generated in degree 1, its relations may not be generated by homogeneous relations of degree 2. In this paper we give a criterion which is equivalent to gr_I K being quadratic. We apply this criterion to the group algebra of the pure virtual braid group (also known as the quasi-triangular group), and show that the corresponding associated graded algebra is quadratic.
Unraveling "Braid": Puzzle Games and Storytelling in the Imperative Mood
Arnott, Luke
2012-01-01
"Unraveling Braid" analyzes how unconventional, non-linear narrative fiction can help explain the ways in which video games signify. Specifically, this essay looks at the links between the semiotic features of Jonathan Blow's 2008 puzzle-platform video game Braid and similar elements in Georges Perec's 1978 novel "Life A User's Manual," as well as…
Braids as a representation space of SU(5)
Cartin, Daniel
2015-01-01
The Standard Model of particle physics provides very accurate predictions of phenomena occurring at the sub-atomic level, but the reason for the choice of symmetry group and the large number of particles considered elementary, is still unknown. Along the lines of previous preon models positing a substructure to explain these aspects, Bilson-Thompson showed how the first family of elementary particles is realized as the crossings of braids made of three strands, with charges resulting from twists of those strands with certain conditions; in this topological model, there are only two distinct neutrino states. Modeling the particles as braids implies these braids must be the representation space of a Lie algebra, giving the symmetries of the Standard Model. In this paper, this representation is made explicit, obtaining the raising operators associated with the Lie algebra of $SU(5)$, one of the earliest grand unified theories. Because the braids form a group, the action of these operators are braids themselves, ...
River channel patterns: Braided, meandering, and straight
Leopold, Luna B.; Wolman, M. Gordon
1957-01-01
Channel pattern is used to describe the plan view of a reach of river as seen from an airplane, and includes meandering, braiding, or relatively straight channels. Natural channels characteristically exhibit alternating pools or deep reaches and riffles or shallow reaches, regardless of the type of pattern. The length of the pool or distance between riffles in a straight channel equals the straight line distance between successive points of inflection in the wave pattern of a meandering river of the same width. The points of inflection are also shallow points and correspond to riffles in the straight channel. This distance, which is half the wavelength of the meander, varies approximately as a linear function of channel width. In the data we analysed the meander wavelength, or twice the distance between successive riffles, is from 7 to 12 times the channel width. It is concluded that the mechanics which may lead to meandering operate in straight channels. River braiding is characterized by channel division around alluvial islands. The growth of an island begins as the deposition of a central bar which results from sorting and deposition of the coarser fractions of the load which locally cannot be transported. The bar grows downstream and in height by continued deposition on its surface, forcing the water into the flanking channels, which, to carry the flow, deepen and cut laterally into the original banks. Such deepening locally lowers the water surface and the central bar emerges as an island which becomes stabilized by vegetation. Braiding was observed in a small river in a laboratory. Measurements of the adjustments of velocity, depth, width, and slope associated with island development lead to the conclusion that braiding is one of the many patterns which can maintain quasi-equilibrium among discharge, load, and transporting ability. Braiding does not necessarily indicate an excess of total load. Channel cross section and pattern are ultimately controlled by
Quilts central extensions, braid actions, and finite groups
2000-01-01
Quilts are 2-complexes used to analyze actions and subgroups of the 3-string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensions, braid actions, and finite groups. Most results have not previously appeared in a widely available form, and many results appear in print for the first time. This monograph is accessible to graduate students, as a substantial amount of background material is included. The methods and results may be relevant to researchers interested in infinite groups, moonshine, central extensions, triangle groups, dessins d'enfants, and monodromy actions of braid groups.
Vassiliev invariants; 1, braid groups and rational homotopy theory
Funar, L
1995-01-01
We get a detailed account of Vassiliev type invariants starting with Chen's theory of iterated integrals and Malcev's completion of discrete groups. The canonical injection of the group of pure braids into its completion is identified with the universal Kontsevich-Vassiliev invariant.Further we discuss the extension of this morphism to the whole braid group and the multiplication law for the last one.
A Categorical Model for the Virtual Braid Group
Kauffman, Louis H
2011-01-01
This paper gives a new interpretation of the virtual braid group in terms of a tensor category with generating diagrams that are abstract strings or connections between pairs of strands in an identity braid, and elements corresponding to virtual crossings that generate the symmetric group. The point of this categorical formulation of the virtual braid groups is that we see how these groups form a natural extension of the symmetric groups by formal elements that satisfy the algebraic Yang-Baxter equation. The category we desribe is a natural structure for an algebraist interested in exploring formal properties of the algebraic Yang-Baxter equation, and it is directly related to more topological points of view about virtual links and virtual braids. We discuss a generalization of the virtual braiding formalism to braided tensor categories that can be used for obtaining invariants of knots and links via Hopf algebras. The invariants we obtain are invariants of rotational virtual knots and links, where the term r...
Topological chaos, braiding and bifurcation of almost-cyclic sets
Grover, Piyush; Ross, Shane D.; Stremler, Mark A.; Kumar, Pankaj
2012-12-01
In certain two-dimensional time-dependent flows, the braiding of periodic orbits provides a way to analyze chaos in the system through application of the Thurston-Nielsen classification theorem (TNCT). We expand upon earlier work that introduced the application of the TNCT to braiding of almost-cyclic sets, which are individual components of almost-invariant sets [Stremler et al., "Topological chaos and periodic braiding of almost-cyclic sets," Phys. Rev. Lett. 106, 114101 (2011)]. In this context, almost-cyclic sets are periodic regions in the flow with high local residence time that act as stirrers or "ghost rods" around which the surrounding fluid appears to be stretched and folded. In the present work, we discuss the bifurcation of the almost-cyclic sets as a system parameter is varied, which results in a sequence of topologically distinct braids. We show that, for Stokes' flow in a lid-driven cavity, these various braids give good lower bounds on the topological entropy over the respective parameter regimes in which they exist. We make the case that a topological analysis based on spatiotemporal braiding of almost-cyclic sets can be used for analyzing chaos in fluid flows. Hence, we further develop a connection between set-oriented statistical methods and topological methods, which promises to be an important analysis tool in the study of complex systems.
Braids as a representation space of SU(5)
Energy Technology Data Exchange (ETDEWEB)
Cartin, Daniel, E-mail: cartin@naps.edu [Naval Academy Preparatory School, 440 Meyerkord Avenue, Newport, Rhode Island 02841-1519 (United States)
2015-06-15
The standard model of particle physics provides very accurate predictions of phenomena occurring at the sub-atomic level, but the reason for the choice of symmetry group and the large number of particles considered elementary is still unknown. Along the lines of previous preon models positing a substructure to explain these aspects, Bilson-Thompson showed how the first family of elementary particles is realized as the crossings of braids made of three strands, with charges resulting from twists of those strands with certain conditions; in this topological model, there are only two distinct neutrino states. Modeling the particles as braids implies these braids must be the representation space of a Lie algebra, giving the symmetries of the standard model. In this paper, this representation is made explicit, obtaining the raising operators associated with the Lie algebra of SU(5), one of the earliest grand unified theories. Because the braids form a group, the action of these operators are braids themselves, leading to their identification as gauge bosons. Possible choices for the other two families are also given. Although this realization of particles as braids is lacking a dynamical framework, it is very suggestive, especially when considered as a natural method of adding matter to loop quantum gravity.
Braids as a representation space of SU(5)
Cartin, Daniel
2015-06-01
The standard model of particle physics provides very accurate predictions of phenomena occurring at the sub-atomic level, but the reason for the choice of symmetry group and the large number of particles considered elementary is still unknown. Along the lines of previous preon models positing a substructure to explain these aspects, Bilson-Thompson showed how the first family of elementary particles is realized as the crossings of braids made of three strands, with charges resulting from twists of those strands with certain conditions; in this topological model, there are only two distinct neutrino states. Modeling the particles as braids implies these braids must be the representation space of a Lie algebra, giving the symmetries of the standard model. In this paper, this representation is made explicit, obtaining the raising operators associated with the Lie algebra of SU(5), one of the earliest grand unified theories. Because the braids form a group, the action of these operators are braids themselves, leading to their identification as gauge bosons. Possible choices for the other two families are also given. Although this realization of particles as braids is lacking a dynamical framework, it is very suggestive, especially when considered as a natural method of adding matter to loop quantum gravity.
EXPERIMENTS OF THREE-DIMENSIONAL FLOW STRUCTURE IN BRAIDED RIVERS
Institute of Scientific and Technical Information of China (English)
HUA Zu-lin; GU Li; CHU Ke-jian
2009-01-01
The braided river is a typical river pattern in nature, but there is a paucity of comprehensive data set describing the three-dimensional flow field in the braided river. A physical model experiment was used to study the flow characteristics in the typical braided river with a mid-bar between two anabranches. In the experiment, two kinds of mid-bar with the ratios of its length to maximal width of 3 and 5 were considered. Moreover, the mid-bar could be moved to adjust the width of two anabranches. The detailed measurements of velocity were conducted using an acoustic Doppler velocimeter over a grid defined throughout the whole braided river region, including the bifurcation, two anabranches and the confluence. In two kinds of mid-bar braided models, a separation zone was observed in the anabranch of the model in which the ratio of length to maximal width of mid-bar is 3, however the separation zone was not found in another model in which the ratio is 5. In addition, the opposite secondary cells were observed at the bend apex of anabranch in two models, and different longitudinal velocity distributions in the entrance region of anabranch account for this opposite flow structure. Finally, turbulent kinetic energy were shown and compared in different situations. The high turbulence occurs at the place with strong shear, especially at the boundary of the separation zone and the high velocity passing flow.
Virtual optimization of self-expandable braided wire stents.
De Beule, Matthieu; Van Cauter, Sofie; Mortier, Peter; Van Loo, Denis; Van Impe, Rudy; Verdonck, Pascal; Verhegghe, Benedict
2009-05-01
At present, the deployment of self-expandable braided stents has become a common and widely used minimally invasive treatment for stenotic lesions in the cardiovascular, gastrointestinal and respiratory system. To improve these revascularization procedures (e.g. increase the positioning accuracy) the optimal strategy lies in the further development of the stent design. In the context of optimizing braided stent designs, computational models can provide an excellent research tool complementary to analytical models. In this study, a finite element based modelling strategy is proposed to investigate and optimize the mechanics of braided stents. First a geometrical and finite element model of a braided Urolume endoprosthesis was built with the open source pyFormex design tool. The results of the reference simulation of the Urolume stent are in close agreement with both analytical and experimental data. Subsequently, a simplex-based design optimization algorithm automatically adjusts the reference Urolume geometry to facilitate precise positioning by reducing the foreshortening with 20% while maintaining the radial stiffness. Therefore, the proposed modelling strategy appears to be a promising optimization methodology in braided stent design.
A braided monoidal category for free super-bosons
Runkel, Ingo
2012-01-01
The chiral conformal field theory of free super-bosons is generated by weight one currents whose mode algebra is the affinisation of an abelian Lie super-algebra h with non-degenerate super-symmetric pairing. The mode algebras of a single free boson and of a single pair of symplectic fermions arise for even|odd dimension 1|0 and 0|2 of h, respectively. In this paper, the representations of the untwisted mode algebra of free super-bosons are equipped with a tensor product, a braiding, and an associator. In the symplectic fermion case, i.e. if h is purely odd, the braided monoidal structure is extended to representations of the Z/2Z-twisted mode algebra. The tensor product is obtained by computing spaces of vertex operators. The braiding and associator are determined by explicit calculations from three- and four-point conformal blocks.
Noncommutative independence from the braid group $B_\\infty$
Gohm, Rolf
2008-01-01
We introduce `braidability' as a new symmetry for (infinite) sequences of noncommutative random variables related to representations of the braid group $B_\\infty$. It provides an extension of exchangeability which is tied to the symmetric group $S_\\infty$. Our key result is that braidability implies spreadability and thus conditional independence, according to the noncommutative extended de Finetti theorem (of C. K\\"{o}stler). This endows the braid groups $B_n$ with a new intrinsic (quantum) probabilistic interpretation. We underline this interpretation by a braided extension of the Hewitt-Savage Zero-One Law. Furthermore we use the concept of product representations of endomorphisms (of R. Gohm) with respect to certain Galois type towers of fixed point algebras to show that braidability produces triangular towers of commuting squares and noncommutative Bernoulli shifts. As a specific case we study the left regular representation of $B_\\infty$ and the irreducible subfactor with infinite Jones index in the non...
Feasibility evaluation of the monolithic braided ablative nozzle
Director, Mark N.; McPherson, Douglass J., Sr.
1992-02-01
The feasibility of the monolithic braided ablative nozzle was evaluated as part of an independent research and development (IR&D) program complementary to the National Aeronautics and Space Administration/Marshall Space Flight Center (NASA/MSFC) Low-Cost, High-Reliability Case, Insulation and Nozzle for Large Solid Rocket Motors (LOCCIN) Program. The monolithic braided ablative nozzle is a new concept that utilizes a continuous, ablative, monolithic flame surface that extends from the nozzle entrance, through the throat, to the exit plane. The flame surface is fabricated using a Through-the-Thickness braided carbon-fiber preform, which is impregnated with a phenolic or phenolic-like resin. During operation, the braided-carbon fiber/resin material ablates, leaving the structural backside at temperatures which are sufficiently low to preclude the need for any additional insulative materials. The monolithic braided nozzle derives its potential for low life cycle cost through the use of automated processing, one-component fabrication, low material scrap, low process scrap, inexpensive raw materials, and simplified case attachment. It also has the potential for high reliability because its construction prevents delamination, has no nozzle bondlines or leak paths along the flame surface, is amenable to simplified analysis, and is readily inspectable. In addition, the braided construction has inherent toughness and is damage-tolerant. Two static-firing tests were conducted using subscale, 1.8 - 2.0-inch throat diameter, hardware. Tests were approximately 15 seconds in duration, using a conventional 18 percent aluminum/ammonium perchlorate propellant. The first of these tests evaluated the braided ablative as an integral backside insulator and exit cone; the second test evaluated the monolithic braided ablative as an integral entrance/throat/exit cone nozzle. Both tests met their objectives. Radial ablation rates at the throat were as predicted, approximately 0.017 in
Investigation on the Thermal Conductivity of 3-Dimensional and 4-Directional Braided Composites
Institute of Scientific and Technical Information of China (English)
Liu Zhenguo; Zhang Haiguo; Lu Zixing; Li Diansen
2007-01-01
It is vital to choose a factual and reasonable micro-structural model of braided composites for improving the calculating precision of thermal property of 3-D braided composites by finite element method (FEM). On the basis of new microstructure model of braided composites proposed recently, the model of FEM calculation for thermal conductivity of 3-dimennsional and 4-directional braided composites is set up in this paper. The curves of coefficient of effective thermal conductivity versus fiber volume ratio and interior braiding angle are obtained. Furthermore, comparing the results of FEM with the available experimental data, the reasonability and veracity of calculation are confirmed at the same time.
Quasiparticle operators with non-abelian braiding statistics
Cabra, D C; Rossini, G L; Cabra, Daniel C.; Moreno, Enrique F.; Rossini, Gerardo L.
1998-01-01
We study the gauge invariant fermions in the fermion coset representation of $SU(N)_k$ Wess-Zumino-Witten models which create, by construction, the physical excitations (quasiparticles) of the theory. We show that they provide an explicit holomorphic factorization of $SU(N)_k$ WZW primaries and satisfy non-abelian braiding relations.
The braid index of complicated DNA polyhedral links.
Directory of Open Access Journals (Sweden)
Xiao-Sheng Cheng
Full Text Available The goal of this paper is to determine the braid index of two types of complicated DNA polyhedral links introduced by chemists and biologists in recent years. We shall study it in a more broad context and actually consider so-called Jaeger's links (more general Traldi's links which contain, as special cases, both four types of simple polyhedral links whose braid indexes have been determined and the above two types of complicated DNA polyhedral links. Denote by b(L and c(L the braid index and crossing number of an oriented link L, respectively. Roughly speaking, in this paper, we prove that b(L = c(L/2 + 1 for any link L in a family including Jaeger's links and contained in Traldi's links, which is obtained by combining the MFW inequality and an Ohyama's result on upper bound of the braid index. Our result may be used to to characterize and analyze the structure and complexity of DNA polyhedra and entanglement in biopolymers.
From the braided to the usual Yang-Baxter relation
Fioravanti, D; Fioravanti, Davide; Rossi, Marco
2001-01-01
Quantum monodromy matrices coming from a theory of two coupled (m)KdV equations are modified in order to satisfy the usual Yang-Baxter relation. As a consequence, a general connection between braided and {\\it unbraided} (usual) Yang-Baxter algebras is derived and also analysed.
Effect of Landau level mixing on braiding statistics.
Simon, Steven H
2008-03-21
We examine the effect of Landau level mixing on the braiding statistics of quasiparticles of Abelian and non-Abelian quantum Hall states. While path dependent geometric phases can perturb the Abelian part of the statistics, we find that the non-Abelian properties remain unchanged to an accuracy that is exponentially small in the distance between quasiparticles.
Processing and performance of nanophased braided carbon/epoxy composites
Energy Technology Data Exchange (ETDEWEB)
Hosur, Mahesh V., E-mail: hosur@tuskegee.ed [Center for Advanced Materials, Tuskegee University, Tuskegee, AL 36088 (United States); Islam, Md. Mazedul; Jeelani, Shaik [Center for Advanced Materials, Tuskegee University, Tuskegee, AL 36088 (United States)
2010-04-15
A systematic study has been carried out to investigate mechanical properties of 2D nanophased braided carbon/epoxy composites. SC-15 epoxy with three types of braided fabrics: +-45 deg., 0/+-45 deg., and 0/+-60 deg. was used to fabricate composite laminates using vacuum assisted resin infusion molding (VARIM) process. Low-velocity impact (LVI), ultrasonic nondestructive evaluation (NDE) and 3-point bend flexure studies were carried out on biaxial and triaxial braided samples. Impact parameters like peak load and absorbed energy were calculated. All the LVI tested samples were then subjected to ultrasonic c-scan testing to determine the damage size. From the results it was seen that laminates sustained the impact load without any damage at 10 J, a little damage at 20 J and more damage at 30 J. From the ultrasonic tests it was seen that the biaxial +-45 deg. laminates had lowest damage. Flexural test showed the highest flexural strength and stiffness for triaxial 0 deg./+-45 deg. An investigation was also carried out to improve the properties of the braided laminates by introducing Nanomer I-28E nanoclay, a surface modified montmorillonite mineral, into SC-15 epoxy matrix. Different weight percentages of nanoclay were dispersed in SC-15 epoxy. Highest properties were obtained for samples with 1% by weight of nanoclay reinforcement.
Modeling of Moisture Diffusion in Carbon Braided Composites
Directory of Open Access Journals (Sweden)
S. Laurenzi
2008-01-01
Full Text Available In this study, we develop a methodology based on finite element analysis to predict the weight gain of carbon braided composite materials exposed to moisture. The analysis was based on the analogy between thermal conduction and diffusion processes, which allowed for a commercial code for finite element analysis to be used. A detailed finite element model using a repetitive unit cell (RUC was developed both for bundle and carbon braided composites. Conditioning tests were performed to estimate the diffusivity of both the resin and composite. When comparing numerical and experimental results, it was observed that the procedure introduces an average error of 20% and a maximum error of 31% if the RUC is assumed to be isotropic. On the other hand, the average error does not exceed 10% and the maximum error is less than 20% when the material is considered as orthotropic. The procedure is independent of the particular fiber architecture and can be extended to other composites.
Relative Yetter-Drinfeld modules and comodules over braided groups
Energy Technology Data Exchange (ETDEWEB)
Zhu, Haixing, E-mail: zhuhaixing@163.com, E-mail: haxing.zhu@njfu.edu.cn [College of Economics and Management, Nanjing Forestry University, 210037 Nanjing (China)
2015-04-15
Let H{sub 1} be a quantum group and f : H{sub 1}⟶H{sub 2} a Hopf algebra homomorphism. Assume that B is some braided group obtained by Majid’s transmutation process. We first show that there is a tensor equivalence between the category of comodules over the braided group B and that of relative Yetter-Drinfeld modules. Next, we prove that the Drinfeld centers of the two categories mentioned above are equivalent to the category of modules over some quantum double, namely, the category of ordinary Yetter-Drinfeld modules over some Radford’s biproduct Hopf algebra. Importantly, the above results not only hold for a finite dimensional quantum group but also for an infinite dimensional one.
Duality Theorem and Drinfeld Double in Braided Tensor Categories
Institute of Scientific and Technical Information of China (English)
Shouchuan Zhang
2003-01-01
Let (C, ( ), I, C) be a braided tensor category. For a finite Hopf algebra H in c with CH, H = C-1 H,H, the duality theorem is shown, i.e.,(R#H)#H^* ≌ R( ) (H-( )H^*)as algebras in C. Also, it is proved that the Drinfeld double (D(H), [b]) is a quasi-triangular Hopf algebra in c.
Wireless majorana fermions: from magnetic tunability to braiding (Conference Presentation)
Fatin, Geoffrey L.; Matos-Abiague, Alex; Scharf, Benedikt; Zutic, Igor
2016-10-01
In condensed-matter systems Majorana bound states (MBSs) are emergent quasiparticles with non-Abelian statistics and particle-antiparticle symmetry. While realizing the non-Abelian braiding statistics under exchange would provide both an ultimate proof for MBS existence and the key element for fault-tolerant topological quantum computing, even theoretical schemes imply a significant complexity to implement such braiding. Frequently examined 1D superconductor/semiconductor wires provide a prototypical example of how to produce MBSs, however braiding statistics are ill-defined in 1D and complex wire networks must be used. By placing an array of magnetic tunnel junctions (MTJs) above a 2D electron gas formed in a semiconductor quantum well grown on the surface of an s-wave superconductor, we have predicted the existence of highly tunable zero-energy MBSs and have proposed a novel scheme by which MBSs could be exchanged [1]. This scheme may then be used to demonstrate the states' non-Abelian statistics through braiding. The underlying magnetic textures produced by MTJ array provides a pseudo-helical texture which allows for highly-controllable topological phase transitions. By defining a local condition for topological nontriviality which takes into account the local rotation of magnetic texture, effective wire geometries support MBS formation and permit their controlled movement in 2D by altering the shape and orientation of such wires. This scheme then overcomes the requirement for a network of physical wires in order to exchange MBSs, allowing easier manipulation of such states. [1] G. L. Fatin, A. Matos-Abiague, B. Scharf, and I. Zutic, arXiv:1510.08182, preprint.
Noncommutative Independence in the Infinite Braid and Symmetric Group
Gohm, Rolf
2011-01-01
This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows to derive factorization properties from symmetries. We explain some of the main ideas of this approach and work out a constructive procedure to use in applications. Finally we illustrate the method by applying it to the theory of group characters.
Noncommutative Independence from the Braid Group {mathbb{B}_{infty}}
Gohm, Rolf; Köstler, Claus
2009-07-01
We introduce ‘braidability’ as a new symmetry for infinite sequences of noncommutative random variables related to representations of the braid group {mathbb{B}_{infty}} . It provides an extension of exchangeability which is tied to the symmetric group {mathbb{S}_{infty}} . Our key result is that braidability implies spreadability and thus conditional independence, according to the noncommutative extended de Finetti theorem [Kös08]. This endows the braid groups {mathbb{B}n} with a new intrinsic (quantum) probabilistic interpretation. We underline this interpretation by a braided extension of the Hewitt-Savage Zero-One Law. Furthermore we use the concept of product representations of endomorphisms [Goh04] with respect to certain Galois type towers of fixed point algebras to show that braidability produces triangular towers of commuting squares and noncommutative Bernoulli shifts. As a specific case we study the left regular representation of {mathbb{B}_{infty}} and the irreducible subfactor with infinite Jones index in the non-hyperfinite I I 1-factor L {(mathbb{B}_{infty})} related to it. Our investigations reveal a new presentation of the braid group {mathbb{B}_{infty}} , the ‘square root of free generator presentation’ {mathbb{F}^{1/2}_{infty}} . These new generators give rise to braidability while the squares of them yield a free family. Hence our results provide another facet of the strong connection between subfactors and free probability theory [GJS07]; and we speculate about braidability as an extension of (amalgamated) freeness on the combinatorial level.
Topological Chaos and Periodic Braiding of Almost-Cyclic Sets
2011-01-01
In certain (2 + 1)-dimensional dynamical systems, the braiding of periodic orbits provides a framework for analyzing chaos in the system through application of the Thurston-Nielsen classification theorem. Periodic orbits generated by the dynamics can behave as physical obstructions that "stir" the surrounding domain and serve as the basis for this topological analysis. We provide evidence that, even in the absence of periodic orbits, almost-cyclic regions identified using a transfer operator ...
Characterization of Triaxial Braided Composite Material Properties for Impact Simulation
Roberts, Gary D.; Goldberg, Robert K.; Biniendak, Wieslaw K.; Arnold, William A.; Littell, Justin D.; Kohlman, Lee W.
2009-01-01
The reliability of impact simulations for aircraft components made with triaxial braided carbon fiber composites is currently limited by inadequate material property data and lack of validated material models for analysis. Improvements to standard quasi-static test methods are needed to account for the large unit cell size and localized damage within the unit cell. The deformation and damage of a triaxial braided composite material was examined using standard quasi-static in-plane tension, compression, and shear tests. Some modifications to standard test specimen geometries are suggested, and methods for measuring the local strain at the onset of failure within the braid unit cell are presented. Deformation and damage at higher strain rates is examined using ballistic impact tests on 61- by 61- by 3.2-mm (24- by 24- by 0.125-in.) composite panels. Digital image correlation techniques were used to examine full-field deformation and damage during both quasi-static and impact tests. An impact analysis method is presented that utilizes both local and global deformation and failure information from the quasi-static tests as input for impact simulations. Improvements that are needed in test and analysis methods for better predictive capability are examined.
Development of braided drug-loaded nanofiber sutures
Energy Technology Data Exchange (ETDEWEB)
Hu Wen [School of Materials Science and Engineering, Tongji University, 1239 Siping Road, Shanghai 200092 (China); Huang Zhengming [School of Aerospace Engineering and Applied Mechanics, Tongji University, 1239 Siping Road, Shanghai 200092 (China); Liu Xiangyang, E-mail: huangzm@tongji.edu.cn [Department of Physics, National University of Singapore, 2 Science Drive 3, 117542 (Singapore)
2010-08-06
The objectives of this work are twofold. Firstly, while most work on electrospinning is limited to the development of only functional materials, a structural application of electrospun nanofibers is explored. Secondly, a drug-loaded tissue suture is fabricated and its various properties are characterized. Braided drug-loaded nanofiber sutures are obtained by combining an electrospinning process with a braiding technique followed by a coating procedure. Two different electrospinning techniques, i.e. blend and coaxial electrospinning, to incorporate a model drug cefotaxime sodium (CFX-Na) into poly(L-lactic acid) (PLLA) nanofibers have been applied and compared with each other. Properties of the braided drug-loaded sutures are characterized through a variety of methods including SEM, TEM and tensile testing. The results show that the nanofibers had a preferable micromorphology. The drug was incorporated into the polymer nanofibers homogeneously, with no cross-linking. The nanofibers maintained their fibrous structures. An in vitro release study indicates that the drug-loaded nanofibers fabricated by blend electrospinning and coaxial electrospinning had a different drug release behavior. An inhibition zone experiment shows that both sutures obtained from the nanofibers of the different electrospinning techniques had favorable antibacterial properties. The drug-loaded sutures had preferable histological compatibility performance compared with commercial silk sutures in an in vivo comparative study.
Mechanical modeling of self-expandable stent fabricated using braiding technology.
Kim, Ju Hyun; Kang, Tae Jin; Yu, Woong-Ryeol
2008-11-14
The mechanical behavior of a stent is one of the important factors involved in ensuring its opening within arterial conduits. This study aimed to develop a mechanical model for designing self-expandable stents fabricated using braiding technology. For this purpose, a finite element model was constructed by developing a preprocessing program for the three-dimensional geometrical modeling of the braiding structure inside stents, and validated for various stents with different braiding structures. The constituent wires (Nitinol) in the braided stents were assumed to be superelastic material and their mechanical behavior was incorporated into the finite element software through a user material subroutine (VUMAT in ABAQUS) employing a one-dimensional superelastic model. For the verification of the model, several braided stents were manufactured using an automated braiding machine and characterized focusing on their compressive behavior. It was observed that the braided stents showed a hysteresis between their loading and unloading behavior when a compressive load was applied to the braided tube. Through the finite element analysis, it was concluded that the current mechanical model can appropriately predict the mechanical behavior of braided stents including such hysteretic behavior, and that the hysteresis was caused by the slippage between the constituent wires and their superelastic property.
DETERMINATION OF INTERNAL STRAIN IN 3-D BRAIDED COMPOSITES USING OPTIC FIBER STRAIN SENSORS
Institute of Scientific and Technical Information of China (English)
YuanShenfang; HuangRui; LiXianghua; LiuXiaohui
2004-01-01
A reliable understanding of the properties of 3-D braided composites is of primary importance for proper utilization of these materials. A new method is introduced to study the mechanical performance of braided composite materials using embedded optic fiber sensors. Experimental research is performed to devise a method of incorporating optic fibers into a 3-D braided composite structure. The efficacy of this new testing method is evaluated on two counts. First,the optical performance of optic fibers is studied before and after incorporated into 3-D braided composites, as well as after completion of the manufacturing process for 3-D braided composites,to validate the ability of the optic fiber to survive the manufacturing process. On the other hand,the influence of incorporated optic fiber on the original braided composite is also researched by tension and compression experiments. Second, two kinds of optic fiber sensors are co-embedded into 3-D braided composites to evaluate their respective ability to measure the internal strain.Experimental results show that multiple optic fiber sensors can be co-braided into 3-D braided composites to determine their internal strain which is difficult to be fulfilled by other current existing methods.
Entangling qubits by Heisenberg spin exchange and anyon braiding
Zeuch, Daniel
As the discovery of quantum mechanics signified a revolution in the world of physics more than one century ago, the notion of a quantum computer in 1981 marked the beginning of a drastic change of our understanding of information and computability. In a quantum computer, information is stored using quantum bits, or qubits, which are described by a quantum-mechanical superposition of the quantum states 0 and 1. Computation then proceeds by acting with unitary operations on these qubits. These operations are referred to as quantum logic gates, in analogy to classical computation where bits are acted on by classical logic gates. In order to perform universal quantum computation it is, in principle, sufficient to carry out single-qubit gates and two-qubit gates, where the former act on individual qubits and the latter, acting on two qubits, are used to entangle qubits with each other. The present thesis is divided into two main parts. In the first, we are concerned with spin-based quantum computation. In a spin-based quantum computer, qubits are encoded into the Hilbert space spanned by spin-1/2 particles, such as electron spins trapped in semiconductor quantum dots. For a suitable qubit encoding, turning on-and-off, or "pulsing,'' the isotropic Heisenberg exchange Hamiltonian JSi · Sj allows for universal quantum computation and it is this scheme, known as exchange-only quantum computation, which we focus on. In the second part of this thesis, we consider a topological quantum computer in which qubits are encoded using so-called Fibonacci anyons, exotic quasiparticle excitations that obey non-Abelian statistics, and which may emerge in certain two-dimensional topological systems such as fractional quantum-Hall states. Quantum gates can then be carried out by moving these particles around one another, a process that can be viewed as braiding their 2+1 dimensional worldlines. The subject of the present thesis is the development and theoretical understanding of
A complete topological invariant for braided magnetic fields
Yeates, A R
2013-01-01
A topological flux function is introduced to quantify the topology of magnetic braids: non-zero line-tied magnetic fields whose field lines all connect between two boundaries. This scalar function is an ideal invariant defined on a cross-section of the magnetic field, whose integral over the cross-section yields the relative magnetic helicity. Recognising that the topological flux function is an action in the Hamiltonian formulation of the field line equations, a simple formula for its differential is obtained. We use this to prove that the topological flux function uniquely characterises the field line mapping and hence the magnetic topology. A simple example is presented.
Yang-Baxter Systems, Algebra Factorizations and Braided Categories
Directory of Open Access Journals (Sweden)
Florin F. Nichita
2013-09-01
Full Text Available The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Baxter’s work. Later, Vladimir Drinfeld, Vaughan F. R. Jones and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. After a short review on this equation and the Yang-Baxter systems, we consider the problem of constructing algebra factorizations from Yang-Baxter systems. Our sketch of proof uses braided categories. Other problems are also proposed.
Yang-Baxter Systems, Algebra Factorizations and Braided Categories
2013-01-01
The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Baxter’s work. Later, Vladimir Drinfeld, Vaughan F. R. Jones and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. After a short review on this equation and the Yang-Baxter systems, we consider the problem of constructing algebra factorizations from Yang-Baxter systems. Our sketch of proof uses braided categories. Other problems are also proposed.
Topological chaos and periodic braiding of almost-cyclic sets.
Stremler, Mark A; Ross, Shane D; Grover, Piyush; Kumar, Pankaj
2011-03-18
In certain (2+1)-dimensional dynamical systems, the braiding of periodic orbits provides a framework for analyzing chaos in the system through application of the Thurston-Nielsen classification theorem. Periodic orbits generated by the dynamics can behave as physical obstructions that "stir" the surrounding domain and serve as the basis for this topological analysis. We provide evidence that, even in the absence of periodic orbits, almost-cyclic regions identified using a transfer operator approach can reveal an underlying structure that enables topological analysis of chaos in the domain.
COMPATIBILITY AND PHASE BEHAVIOR OF PS/SBR BLENDS Ⅱ. TORSIONAL BRAID ANALYSIS
Institute of Scientific and Technical Information of China (English)
DAI Yingkun; FENG Zhiliu
1990-01-01
The compatibility and phase behavior of PS/SBR blends was studied with torsional braid analysis technique. The technique used in this study for preparation of braids was first developed by one of the authors, which gives more precise phase diagram as compared to other conventional methods.The results obtained are in good agreement with those obtained in our previous work.
Complete braided adsorbent for marine testing to demonstrate 3g-U/kg-adsorbent
Energy Technology Data Exchange (ETDEWEB)
Janke, Chris [ORNL; Yatsandra, Oyola [ORNL; Mayes, Richard [ORNL; none,; Gill, Gary [PNNL; Li-Jung, Kuo [PNNL; Wood, Jordana [PNNL; Sadananda, Das [ORNL
2014-04-30
ORNL has manufactured four braided adsorbents that successfully demonstrated uranium adsorption capacities ranging from 3.0-3.6 g-U/kg-adsorbent in marine testing at PNNL. Four new braided and leno woven fabric adsorbents have also been prepared by ORNL and are currently undergoing marine testing at PNNL.
First-order differential calculi over multi-braided quantum groups
Durdevic, M
1996-01-01
A differential calculus of the first order over multi-braided quantum groups is developed. In analogy with the standard theory, left/right-covariant and bicovariant differential structures are introduced and investigated. Furthermore, antipodally covariant calculi are studied. The concept of the *-structure on a multi-braided quantum group is formulated, and in particular the structure of left-covariant *-covariant calculi is analyzed. A special attention is given to differential calculi covariant with respect to the action of the associated braid system. In particular it is shown that the left/right braided-covariance appears as a consequence of the left/right-covariance relative to the group action. Braided counterparts of all basic results of the standard theory are found.
A Study on the EM Leakage Arising from Braided Shielding Cable
Institute of Scientific and Technical Information of China (English)
ZHANG Hong-xin; L(U) Ying-hua; BAO Yong-fang; L(U) Jian-gang
2005-01-01
To investigate the electromagnetic leakage caused by braided shielding cable, the finite-difference formulation of braided shielding cable for both the inner shield-conductor circuit and outer shield-ground circuit are proposed. Then, the current in shield-ground circuit induced by the transmitting signal in the cable is computed in time-domain, and the shielding effectiveness of braided shield against trapezoid signals is studied. Further more, the video EM leakage in far zone is calculated. At last, the information leakage caused by EM radiation of braided cable is intercepted and recovered using the simulation platform. It is proved that EM radiation of braided cable can give rise to information leakage. It is a key factor that should be concerned in the information secure field.
First investigation of spider silk as a braided microsurgical suture.
Kuhbier, Joern W; Reimers, Kerstin; Kasper, Cornelia; Allmeling, Christina; Hillmer, Anja; Menger, Björn; Vogt, Peter M; Radtke, Christine
2011-05-01
Inhibition of axonal outgrowth accompanied by neuroma formation appears in microsurgical nerve repair as reaction to common microsuture materials like silk, nylon, or polyglycolic acid. In contrast, recent findings revealed advantages of spider silk fibers in guiding Schwann cells in nerve regeneration. Here, we asked if we could braid microsutures from native spider silk fibers. Microsutures braided of native spider dragline silk were manufactured, containing either 2 × 15 or 3 × 10 single fibres strands. Morphologic appearance was studied and tensile strength and stress-strain ratio (SSR) were calculated. The constructed spider silk sutures showed a median thickness of 25 μm, matching the USP definition of 10-0. Maximum load and tensile strength for both spider silk microsutures were significantly more than 2-fold higher than for nylon suture; SSR was 1.5-fold higher. All values except elasticity were higher in 3 × 10 strand sutures compared to 2 × 15 strand sutures, but not significantly. In this pilot study, we demonstrate the successful manufacture of microsutures from spider silk. With regards to the mechanical properties, these sutures were superior to nylon sutures. As spider silk displays high biocompatibility in nerve regeneration, its usage in microsurgical nerve repair should be considered.
Factorization of differential expansion for antiparallel double-braid knots
Morozov, A.
2016-09-01
Continuing the quest for exclusive Racah matrices, which are needed for evaluation of colored arborescent-knot polynomials in Chern-Simons theory, we suggest to extract them from a new kind of a double-evolution — that of the antiparallel double-braids, which is a simple two-parametric family of two-bridge knots, generalizing the one-parametric family of twist knots. In the case of rectangular representations R = [ r s ] we found an evidence that the corresponding differential expansion miraculously factorizes and can be obtained from that for the twist knots. This reduces the problem of rectangular exclusive Racah to constructing the answers for just a few twist knots. We develop a recent conjecture on the structure of differential expansion for the simplest members of this family (the trefoil and the figure-eight knot) and provide the exhaustive answer for the first unknown case of R = [33]. The answer includes HOMFLY of arbitrary twist and double-braid knots and Racah matrices overline{S} and S — what allows to calculate [33]-colored polynomials for arbitrary arborescent (double-fat) knots. For generic rectangular representations fully described are only the contributions of the single-floor pyramids. One step still remains to be done.
Macro Scale Independently Homogenized Subcells for Modeling Braided Composites
Blinzler, Brina J.; Goldberg, Robert K.; Binienda, Wieslaw K.
2012-01-01
An analytical method has been developed to analyze the impact response of triaxially braided carbon fiber composites, including the penetration velocity and impact damage patterns. In the analytical model, the triaxial braid architecture is simulated by using four parallel shell elements, each of which is modeled as a laminated composite. Currently, each shell element is considered to be a smeared homogeneous material. The commercial transient dynamic finite element code LS-DYNA is used to conduct the simulations, and a continuum damage mechanics model internal to LS-DYNA is used as the material constitutive model. To determine the stiffness and strength properties required for the constitutive model, a top-down approach for determining the strength properties is merged with a bottom-up approach for determining the stiffness properties. The top-down portion uses global strengths obtained from macro-scale coupon level testing to characterize the material strengths for each subcell. The bottom-up portion uses micro-scale fiber and matrix stiffness properties to characterize the material stiffness for each subcell. Simulations of quasi-static coupon level tests for several representative composites are conducted along with impact simulations.
Multi-Scale Modeling of an Integrated 3D Braided Composite with Applications to Helicopter Arm
Zhang, Diantang; Chen, Li; Sun, Ying; Zhang, Yifan; Qian, Kun
2017-01-01
A study is conducted with the aim of developing multi-scale analytical method for designing the composite helicopter arm with three-dimensional (3D) five-directional braided structure. Based on the analysis of 3D braided microstructure, the multi-scale finite element modeling is developed. Finite element analysis on the load capacity of 3D five-directional braided composites helicopter arm is carried out using the software ABAQUS/Standard. The influences of the braiding angle and loading condition on the stress and strain distribution of the helicopter arm are simulated. The results show that the proposed multi-scale method is capable of accurately predicting the mechanical properties of 3D braided composites, validated by the comparison the stress-strain curves of meso-scale RVCs. Furthermore, it is found that the braiding angle is an important factor affecting the mechanical properties of 3D five-directional braided composite helicopter arm. Based on the optimized structure parameters, the nearly net-shaped composite helicopter arm is fabricated using a novel resin transfer mould (RTM) process.
Origins of massive-type sandstones in braided river systems
Martin, Charlotte A. L.; Turner, Brian R.
1998-07-01
This study details largely ignored massive-type, predominantly structureless sandstones preserved within braided fluvial successions of Carboniferous to Triassic age. Architectural element analysis reveals that these sediments were deposited within sand-dominated perennial systems of low braiding index. Cross-stratified braid bar deposits are interbedded with, and laterally equivalent to geometrically distinct, largely structureless massive-type sandbodies identified as two separate architectural elements: channel-like (SMC) and sheet-like (SMS). Sub-divisions within these broad categories define six geometric units which are texturally distinct from each other and from the structured sediments of the same lithological unit. Since massive-type sandstone elements have many features in common with the deposits of highly concentrated, laminar sediment/water flows, they are interpreted in terms of similar depositional processes. SMC elements form elongate channel-like features which trend both at high angles to, and parallel with, the palaeoflow of host fluvial channels. The lower bounding surfaces of SMC elements may be either erosive or non-erosive, and describe symmetrical cross-sections with margins dipping debris flows related to fluvial bank and/or bar collapse. SMS elements form sandsheets up to 8 m in thickness which may be traced >250 m parallel and transverse to the fluvial palaeoflow direction established from cross-stratified sandstones of adjacent architectural elements. The basal surface of SMS elements may either be undulose (where the sandbodies are termed SMSU) or erosional (where they are termed SMSE). Internally SMSU elements preserve parallel laminae marginal to basal scours, diffuse sweeping laminae, isolated cross-sets and water escape structures. The SMSU sediments are compositionally identical to the structured sandstones with which they are associated and are interpreted as the result of deposition from highly concentrated stream flows
Self-consistent treatment of electrostatics in molecular DNA braiding through external forces.
Lee, Dominic J
2014-06-01
In this paper we consider a physical system in which two DNA molecules braid about each other. The distance between the two molecular ends, on either side of the braid, is held at a distance much larger than supercoiling radius of the braid. The system is subjected to an external pulling force, and a moment that induces the braiding. In a model, developed for understanding such a system, we assume that each molecule can be divided into a braided and unbraided section. We also suppose that the DNA is nicked so that there is no constraint of the individual linking numbers of the molecules. Included in the model are steric and electrostatic interactions, thermal fluctuations of the braided and unbraided sections of the molecule, as well as the constraint on the braid linking (catenation) number. We compare two approximations used in estimating the free energy of the braided section. One is where the amplitude of undulations of one molecule with respect to the other is determined only by steric interactions. The other is a self-consistent determination of the mean-squared amplitude of these undulations. In this second approximation electrostatics should play an important role in determining this quantity, as suggested by physical arguments. We see that if the electrostatic interaction is sufficiently large there are indeed notable differences between the two approximations. We go on to test the self-consistent approximation-included in the full model-against experimental data for such a system, and we find good agreement. However, there seems to be a slight left-right-handed braid asymmetry in some of the experimental results. We discuss what might be the origin of this small asymmetry.
Elastic mesh braided worm robot for locomotive endoscopy.
Manwell, Thomas; Vítek, Tomáš; Ranzani, Tommaso; Menciassi, Arianna; Althoefer, Kaspar; Liu, Hongbin
2014-01-01
This paper presents a new design of worm robot whose body is constructed using a novel crimped elastic mesh braid inspired by the earthworm. The proposed worm robot is intended for inspection within the human body via natural orifices. The design and fabrication procedure of the worm robot are given in the paper. The imitation of peristalsis, used by natural worms, is used to control the worm robot for the purpose of producing motion while causing minimal trauma to biological tissue. The forward locomotive function of the worm robot has been tested on both a flat surface and in a rubber tube. It is shown that the worm robot is capable of propagating forwards for both test conditions in a form similar to the earthworm. The test results indicate the proposed worm robot design has promising application for natural tube inspection, like the colon and the esophagus.
Factorization of differential expansion for antiparallel double-braid knots
Morozov, A
2016-01-01
Continuing the quest for exclusive Racah matrices, which are needed for evaluation of colored arborescent-knot polynomials in Chern-Simons theory, we suggest to extract them from a new kind of a double-evolution -- that of the antiparallel double-braids, which is a simple two-parametric family of two-bridge knots, generalizing the one-parametric family of twist knots. In the case of rectangular representations $R=[r^s]$ we found an evidence that the corresponding differential expansion miraculously factorizes and can be obtained from that for the twist knots. This reduces the problem of rectangular exclusive Racah to constructing the answers for just a few twist knots. We develop a recent conjecture on the structure of differential expansion for the simplest members of this family -- the trefoil and the figure-eight knot,-- but manage to guess the full answer only for contributions of single-floor pyramids. One step still remains to be done.
Systematically Generated Two-Qubit Braids for Fibonacci Anyons
Zeuch, Daniel; Carnahan, Caitlin; Bonesteel, N. E.
We show how two-qubit Fibonacci anyon braids can be generated using a simple iterative procedure which, in contrast to previous methods, does not require brute force search. Our construction is closely related to that of, but with the new feature that it can be used for three-anyon qubits as well as four-anyon qubits. The iterative procedure we use, which was introduced by Reichardt, generates sequences of three-anyon weaves that asymptotically conserve the total charge of two of the three anyons, without control over the corresponding phase factors. The resulting two-qubit gates are independent of these factors and their length grows as log 1/ ɛ, where ɛ is the error, which is asymptotically better than the Solovay-Kitaev method.
Two dimensional hydrodynamic modeling of a high latitude braided river
Humphries, E.; Pavelsky, T.; Bates, P. D.
2014-12-01
Rivers are a fundamental resource to physical, ecologic and human systems, yet quantification of river flow in high-latitude environments remains limited due to the prevalence of complex morphologies, remote locations and sparse in situ monitoring equipment. Advances in hydrodynamic modeling and remote sensing technology allow us to address questions such as: How well can two-dimensional models simulate a flood wave in a highly 3-dimensional braided river environment, and how does the structure of such a flood wave differ from flow down a similar-sized single-channel river? Here, we use the raster-based hydrodynamic model LISFLOOD-FP to simulate flood waves, discharge, water surface height, and velocity measurements over a ~70 km reach of the Tanana River in Alaska. In order to use LISFLOOD-FP a digital elevation model (DEM) fused with detailed bathymetric data is required. During summer 2013, we surveyed 220,000 bathymetric points along the study reach using an echo sounder system connected to a high-precision GPS unit. The measurements are interpolated to a smooth bathymetric surface, using Topo to Raster interpolation, and combined with an existing five meter DEM (Alaska IfSAR) to create a seamless river terrain model. Flood waves are simulated using varying complexities in model solvers, then compared to gauge records and water logger data to assess major sources of model uncertainty. Velocity and flow direction maps are also assessed and quantified for detailed analysis of braided channel flow. The most accurate model output occurs with using the full two-dimensional model structure, and major inaccuracies appear to be related to DEM quality and roughness values. Future work will intercompare model outputs with extensive ground measurements and new data from AirSWOT, an airborne analog for the Surface Water and Ocean Topography (SWOT) mission, which aims to provide high-resolution measurements of terrestrial and ocean water surface elevations globally.
Institute of Scientific and Technical Information of China (English)
无
2008-01-01
Based on unit cell model,the 3D 4-directional braided composites can be simplified as unidirectional composites with different local axial coordinate system and the compliance matrix of unidirectional composites can be defined utilizing the bridge model.The total stiffness matrix of braided composites can be obtained by the volume average stiffness of unidirectional composites with different local axial coordinate system and the engineering elastic constants of braided composites were computed further.Based on the iso-strain assumption and the bridge model,the stress distribution of fiber bundle and matrix of different unidirectional composites can be determined and the tensile strength of 3D 4-directional braided composites was predicted by means of the Hoffman's failure criterion for the fiber bundle and Mises' failure criterion for the matrix.
Software for Computing, Archiving, and Querying Semisimple Braided Monoidal Category Data
Energy Technology Data Exchange (ETDEWEB)
2016-08-04
This software package collects various open source and freely available codes and algorithms to compute and archive the categorical data for certain semisimple braided monoidal categories. In particular, it computes the data for of group theoretical categories for academic research.
DAMAGE MECHANISM ANALYSIS OF 2D 1 × 1 BRAIDED COMPOSITES UNDER UNIDIRECTIONAL TENSION
Institute of Scientific and Technical Information of China (English)
张超; 许希武; 陈康
2013-01-01
Coupling with the periodical displacement boundary condition ,a representative volume element (RVE) model is established to simulate the progressive damage behavior of 2D 1 × 1 braided composites under unidirection-al tension by using the nonlinear finite element method .Tsai-Wu failure criterion with various damage modes and Mises criterion are considered for predicting damage initiation and progression of yarns and matrix .The anisotropic damage model for yarns and the isotropic damage model for matrix are used to simulate the microscopic damage propagation of 2D 1 × 1 braided composites .Murakami′s damage tensor is adopted to characterize each damage mode .In the simulation process ,the damage mechanisms are revealed and the tensile strength of 2D 1 × 1 braided composites is predicted from the calculated average stress-average strain curve . Numerical results show good agreement with experimental data ,thus the proposed simulation method is verified for damage mechanism analysis of 2D braided composites .
NASA Invention of the year Award - 2004. The revolutionary unique braided carbon-fiber thermal barr
2005-01-01
NASA Invention of the year Award - 2004. The revolutionary unique braided carbon-fiber thermal barrier is designed to with stand the extreme temperature environments in current and future solid rocket motors with application to industrial equipment
Guastaferro, Kate; Miller, Katy; Shanley Chatham, Jenelle R.; Whitaker, Daniel J.; McGilly, Kate; Lutzker, John R.
2017-01-01
An effective approach in early intervention for children and families, including child maltreatment prevention, is home-based services. Though several evidence-based programs exist, they are often grouped together, despite having different foci. This paper describes an ongoing cluster randomized trial systematically braiding two evidence-based home-based models, SafeCare® and Parents as Teachers (PAT)®, to better meet the needs of families at-risk. We describe the methodology for braiding model implementation and curriculum, specifically focusing on how structured qualitative feedback from pilot families and providers was used to create the braided curriculum and implementation. Systematic braiding of two models at the implementation and curriculum levels is a mechanism that has the potential to meet the more comprehensive needs of families at-risk for maltreatment. PMID:27870760
Mechanical and analytical screening of braided composites for transport fuselage applications
Fedro, Mark J.; Gunther, Christian; Ko, Frank K.
1991-01-01
The mechanics of materials progress in support of the goal of understanding the application of braided composites in a transport aircraft fuselage are summarized. Composites consisting of both 2-D and 3-D braid patterns are investigated. Both consolidation of commingled graphite/PEEK and resin transfer molding of graphite-epoxy braided composite processes are studied. Mechanical tests were used to examine unnotched tension, open hole tension, compression, compression after impact, in-plane shear, out-of-plane tension, bearing, and crippling. Analytical methods are also developed and applied to predict the stiffness and strengths of test specimens. A preliminary study using the test data and analytical results is performed to assess the applicability of braided composites to a commercial aircraft fuselage.
Generalized virtual braid groups, quasi-shuffle product and quantum groups
Fang, Xin
2013-01-01
We introduce in this paper the generalized virtual braid group on n strands GVB_n, generalizing simultaneously the braid groups and their virtual versions. A Mastumoto-Tits type section lifting shuffles in a symmetric group S_n to the monoid associated to GVB_n is constructed, which is then applied to characterize the quantum quasi-shuffle product. A family of representations of GVB_n is constructed using quantum groups.
Evaluation of Braided Stiffener Concepts for Transport Aircraft Wing Structure Applications
Deaton, Jerry W.; Dexter, H. Benson (Editor); Markus, Alan; Rohwer, Kim
1995-01-01
Braided composite materials have potential for application in aircraft structures. Stiffeners, wing spars, floor beams, and fuselage frames are examples where braided composites could find application if cost effective processing and damage requirements are met. Braiding is an automated process for obtaining near-net shape preforms for fabrication of components for structural applications. Previous test results on braided composite materials obtained at NASA Langley indicate that damage tolerance requirements can be met for some applications. In addition, the braiding industry is taking steps to increase the material through-put to be more competitive with other preform fabrication processes. Data are presented on the compressive behavior of three braided stiffener preform fabric constructions as determined from individual stiffener crippling test and three stiffener wide panel tests. Stiffener and panel fabrication are described and compression data presented for specimens tested with and without impact damage. In addition, data are also presented on the compressive behavior of the stitched stiffener preform construction currently being used by McDonnell Douglas Aerospace in the NASA ACT wing development program.
Braiding of submarine channels controlled by aspect ratio similar to rivers
Foreman, Brady Z.; Lai, Steven Y. J.; Komatsu, Yuhei; Paola, Chris
2015-09-01
The great majority of submarine channels formed by turbidity and density currents are meandering in planform; they consist of a single, sinuous channel that transports a turbid, dense flow of sediment from submarine canyons to ocean floor environments. Braided turbidite systems consisting of multiple, interconnected channel threads are conspicuously rare. Furthermore, such systems may not represent the spontaneous planform instability of true braiding, but instead result from erosive processes or bathymetric variability. In marked contrast to submarine environments, both meandering and braided planforms are common in fluvial systems. Here we present experiments of subaqueous channel formation conducted at two laboratory facilities. We find that density currents readily produce a braided planform for flow aspect ratios of depth to width that are similar to those that produce river braiding. Moreover, we find that stability model theory for river planform morphology successfully describes submarine channels in both experiments and the field. On the basis of these observations, we propose that the rarity of braided submarine channels is explained by the generally greater flow depths in submarine systems, which necessitate commensurately greater widths to achieve the required aspect ratio, along with feedbacks among flow thickness, suspended sediment concentration and channel relief that induce greater levee deposition rates and limit channel widening.
Meso-Scale Damage Simulation of 3D Braided Composites under Quasi-Static Axial Tension
Zhang, Chao; Mao, Chunjian; Zhou, Yexin
2017-01-01
The microstructure of 3D braided composites is composed of three phases: braiding yarn, matrix and interface. In this paper, a representative unit-cell (RUC) model including these three phases is established. Coupling with the periodical boundary condition, the damage behavior of 3D braided composites under quasi-static axial tension is simulated by using finite element method based on this RUC model. An anisotropic damage model based on Murakami damage theory is proposed to predict the damage evolution of yarns and matrix; a damage-friction combination interface constitutive model is adopted to predict the interface debonding behavior. A user material subroutine (VUMAT) involving these damage models is developed and implemented in the finite element software ABAQUS/Explicit. The whole process of damage evolution of 3D braided composites under quasi-static axial tension with typical braiding angles is simulated, and the damage mechanisms are revealed in detail in the simulation process. The tensile strength properties of the braided composites are predicted from the calculated stress-strain curves. Numerical results agree with the available experiment data and thus validates the proposed damage analysis model. The effects of certain material parameters on the predicted stress-strain responses are also discussed by numerical parameter study.
Theory of equilibria of elastic braids with applications to DNA supercoiling
van der Heijden, Gert; Starostin, Eugene
2014-03-01
Motivated by supercoiling of DNA and other filamentous structures, we formulate a new theory for equilibria of 2-braids, i.e., structures formed by two elastic rods winding around each other in continuous contact and subject to a local interstrand interaction. Unlike in previous work no assumption is made on the shape of the contact curve. Rather, this shape is solved for. The theory is developed in terms of a moving frame of directors attached to one of the strands with one of the directors pointing to the position of the other strand. The constant-distance constraint is automatically satisfied by the introduction of what we call braid strains. The price we pay is that the potential energy involves arclength derivatives of these strains, thus giving rise to a second-order variational problem. The Euler-Lagrange equations for this problem give balance equations for the overall braid force and moment referred to the moving frame as well as differential equations that can be interpreted as effective constitutive relations encoding the effect that the second strand has on the first as the braid deforms under the action of end loads. Both open braid and closed braid solutions (links and knots) are computed and current applications to DNA supercoiling are discussed. Research supported by EPSRC and HFSP.
Modeling of Failure for Analysis of Triaxial Braided Carbon Fiber Composites
Goldberg, Robert K.; Littell, Justin D.; Binienda, Wieslaw K.
2010-01-01
In the development of advanced aircraft-engine fan cases and containment systems, composite materials are beginning to be used due to their low weight and high strength. The design of these structures must include the capability of withstanding impact loads from a released fan blade. Relatively complex triaxially braided fiber architectures have been found to yield the best performance for the fan cases. To properly work with and design these structures, robust analytical tools are required that can be used in the design process. A new analytical approach models triaxially braided carbon fiber composite materials within the environment of a transient dynamic finite-element code, specifically the commercially available transient dynamic finite-element code LS-DYNA. The geometry of the braided composites is approximated by a series of parallel laminated composites. The composite is modeled by using shell finite elements. The material property data are computed by examining test data from static tests on braided composites, where optical strain measurement techniques are used to examine the local strain variations within the material. These local strain data from the braided composite tests are used along with a judicious application of composite micromechanics- based methods to compute the stiffness properties of an equivalent unidirectional laminated composite required for the shell elements. The local strain data from the braided composite tests are also applied to back out strength and failure properties of the equivalent unidirectional composite. The properties utilized are geared towards the application of a continuum damage mechanics-based composite constitutive model available within LS-DYNA. The developed model can be applied to conduct impact simulations of structures composed of triaxially braided composites. The advantage of this technology is that it facilitates the analysis of the deformation and damage response of a triaxially braided polymer matrix
Cater, Christopher; Xiao, Xinran; Goldberg, Robert K.; Kohlman, Lee W.
2015-01-01
A combined experimental and analytical approach was performed for characterizing and modeling triaxially braided composites with a modified subcell modeling strategy. Tensile coupon tests were conducted on a [0deg/60deg/-60deg] braided composite at angles of 0deg, 30deg, 45deg, 60deg and 90deg relative to the axial tow of the braid. It was found that measured coupon strength varied significantly with the angle of the applied load and each coupon direction exhibited unique final failures. The subcell modeling approach implemented into the finite element software LS-DYNA was used to simulate the various tensile coupon test angles. The modeling approach was successful in predicting both the coupon strength and reported failure mode for the 0deg, 30deg and 60deg loading directions. The model over-predicted the strength in the 90deg direction; however, the experimental results show a strong influence of free edge effects on damage initiation and failure. In the absence of these local free edge effects, the subcell modeling approach showed promise as a viable and computationally efficient analysis tool for triaxially braided composite structures. Future work will focus on validation of the approach for predicting the impact response of the braided composite against flat panel impact tests.
Fusion and braiding in finite and affine Temperley-Lieb categories
Gainutdinov, A M
2016-01-01
Finite Temperley-Lieb (TL) algebras are diagram-algebra quotients of (the group algebra of) the famous Artin's braid group $B_N$, while the affine TL algebras arise as diagram algebras from a generalized version of the braid group. We study asymptotic `$N\\to\\infty$' representation theory of these quotients (parametrized by $q\\in\\mathbb{C}^{\\times}$) from a perspective of braided monoidal categories. Using certain idempotent subalgebras in the finite and affine algebras, we construct infinite `arc' towers of the diagram algebras and the corresponding direct system of representation categories, with terms labeled by $N\\in\\mathbb{N}$. The corresponding direct-limit category is our main object of studies. For the case of the finite TL algebras, we prove that the direct-limit category is abelian and highest-weight at any $q$ and endowed with braided monoidal structure. The most interesting result is when $q$ is a root of unity where the representation theory is non-semisimple. The resulting braided monoidal catego...
Aligned-Braided Nanofibrillar Scaffold with Endothelial Cells Enhances Arteriogenesis.
Nakayama, Karina H; Hong, Guosong; Lee, Jerry C; Patel, Jay; Edwards, Bryan; Zaitseva, Tatiana S; Paukshto, Michael V; Dai, Hongjie; Cooke, John P; Woo, Y Joseph; Huang, Ngan F
2015-07-28
The objective of this study was to enhance the angiogenic capacity of endothelial cells (ECs) using nanoscale signaling cues from aligned nanofibrillar scaffolds in the setting of tissue ischemia. Thread-like nanofibrillar scaffolds with porous structure were fabricated from aligned-braided membranes generated under shear from liquid crystal collagen solution. Human ECs showed greater outgrowth from aligned scaffolds than from nonpatterned scaffolds. Integrin α1 was in part responsible for the enhanced cellular outgrowth on aligned nanofibrillar scaffolds, as the effect was abrogated by integrin α1 inhibition. To test the efficacy of EC-seeded aligned nanofibrillar scaffolds in improving neovascularization in vivo, the ischemic limbs of mice were treated with EC-seeded aligned nanofibrillar scaffold; EC-seeded nonpatterned scaffold; ECs in saline; aligned nanofibrillar scaffold alone; or no treatment. After 14 days, laser Doppler blood spectroscopy demonstrated significant improvement in blood perfusion recovery when treated with EC-seeded aligned nanofibrillar scaffolds, in comparison to ECs in saline or no treatment. In ischemic hindlimbs treated with scaffolds seeded with human ECs derived from induced pluripotent stem cells (iPSC-ECs), single-walled carbon nanotube (SWNT) fluorophores were systemically delivered to quantify microvascular density after 28 days. Near infrared-II (NIR-II, 1000-1700 nm) imaging of SWNT fluorophores demonstrated that iPSC-EC-seeded aligned scaffolds group showed significantly higher microvascular density than the saline or cells groups. These data suggest that treatment with EC-seeded aligned nanofibrillar scaffolds improved blood perfusion and arteriogenesis, when compared to treatment with cells alone or scaffold alone, and have important implications in the design of therapeutic cell delivery strategies.
Finite Element Model for Failure Study of Two-Dimensional Triaxially Braided Composite
Li, Xuetao; Binienda, Wieslaw K.; Goldberg, Robert K.
2010-01-01
A new three-dimensional finite element model of two-dimensional triaxially braided composites is presented in this paper. This meso-scale modeling technique is used to examine and predict the deformation and damage observed in tests of straight sided specimens. A unit cell based approach is used to take into account the braiding architecture as well as the mechanical properties of the fiber tows, the matrix and the fiber tow-matrix interface. A 0 deg / plus or minus 60 deg. braiding configuration has been investigated by conducting static finite element analyses. Failure initiation and progressive degradation has been simulated in the fiber tows by use of the Hashin failure criteria and a damage evolution law. The fiber tow-matrix interface was modeled by using a cohesive zone approach to capture any fiber-matrix debonding. By comparing the analytical results to those obtained experimentally, the applicability of the developed model was assessed and the failure process was investigated.
Directory of Open Access Journals (Sweden)
Kathleen Hennecke
Full Text Available Repair success for injuries to the flexor tendon in the hand is often limited by the in vivo behaviour of the suture used for repair. Common problems associated with the choice of suture material include increased risk of infection, foreign body reactions, and inappropriate mechanical responses, particularly decreases in mechanical properties over time. Improved suture materials are therefore needed. As high-performance materials with excellent tensile strength, spider silk fibres are an extremely promising candidate for use in surgical sutures. However, the mechanical behaviour of sutures comprised of individual silk fibres braided together has not been thoroughly investigated. In the present study, we characterise the maximum tensile strength, stress, strain, elastic modulus, and fatigue response of silk sutures produced using different braiding methods to investigate the influence of braiding on the tensile properties of the sutures. The mechanical properties of conventional surgical sutures are also characterised to assess whether silk offers any advantages over conventional suture materials. The results demonstrate that braiding single spider silk fibres together produces strong sutures with excellent fatigue behaviour; the braided silk sutures exhibited tensile strengths comparable to those of conventional sutures and no loss of strength over 1000 fatigue cycles. In addition, the braiding technique had a significant influence on the tensile properties of the braided silk sutures. These results suggest that braided spider silk could be suitable for use as sutures in flexor tendon repair, providing similar tensile behaviour and improved fatigue properties compared with conventional suture materials.
Force-free field modeling of twist and braiding-induced magnetic energy in an active-region corona
Thalmann, J K; Wiegelmann, T
2013-01-01
The theoretical concept that braided magnetic field lines in the solar corona may dissipate a sufficient amount of energy to account for the brightening observed in the active-region corona, has been substantiated by high-resolution observations only recently. From the analysis of coronal images obtained with the High Resolution Coronal Imager, first observational evidence of the braiding of magnetic field lines was reported by Cirtain et al. 2013 (hereafter CG13). We present nonlinear force-free reconstructions of the associated coronal magnetic field based on vector SDO/HMI magnetograms. We deliver estimates of the free magnetic energy associated to a braided coronal structure. Our model results suggest (~100 times) more free energy at the braiding site than analytically estimated by CG13, strengthening the possibility of the active-region corona being heated by field line braiding. We were able to assess the coronal free energy appropriately by using vector field measurements and attribute the lower energy...
Sheng, W. K.; Lin, H. T.; Wu, C. H.; Kuo, L. S.; Chen, P. H.
2017-02-01
Copper is the most widely used material in heat pipe manufacturing. Since the capability of wick structures inside a heat pipe will dominate its thermal performance, in this study, we introduce a hybrid surface modification method on the copper wire braids being inserted as wick structure into an ultra-thin heat pipe. The hybrid method is the combination of a chemical-oxidation-based method and a sol-gel method with nanoparticles being dip-coated onto the braid. The experimental data show that braids under hybrid treatment perform higher water rising speed than the oxidized braids while owning higher water net weight than those braids being only dip-coated with nanoparticle.
Review of the origin of the Braid Scarp near the Pebble prospect, southwestern Alaska
Haeussler, Peter J.; Waythomas, Christopher F.
2011-01-01
A linear geomorphic scarp, referred to as the 'Braid Scarp,' lies about 5 kilometers north of Iliamna Lake, Alaska, and has been identified as a possible seismically active fault. We examined the geomorphology of the area and an 8.5-meter-long excavation across the scarp. We conclude that the scarp was formed by incision of a glacial outwash braid plain into a slightly older outwash plain as ice stagnated in the region during deglaciation 11-15 thousand years ago. We found no evidence for active faulting along the scarp.
New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras
Energy Technology Data Exchange (ETDEWEB)
Zhang, Xiaohui, E-mail: zxhhhhh@gmail.com; Wang, Shuanhong, E-mail: shuanhwang2002@yahoo.com [Department of Mathematics, Southeast University, Jiangsu, Nanjing 210096 (China)
2014-11-15
In order to construct a class of new braided crossed G-categories with nontrivial associativity and unit constraints, we study the G-graded monoidal category over a family of algebras (H{sub α}){sub α∈G} and introduce the notion of a weak (co)quasi-Turaev G-(co)algebra. Then we prove that the category of (co)representations of (co)quasitriangular weak (co)quasi-Turaev π-(co)algebras is exactly a braided crossed G-category. In fact, this (co)quasitriangular structure provides a solution to a generalized quantum Yang-Baxter type equation.
Development of Hybrid Braided Composite Rods for Reinforcement and Health Monitoring of Structures
Sohel Rana; Emilija Zdraveva; Cristiana Pereira; Raul Fangueiro; A. Gomes Correia
2014-01-01
In the present study, core-reinforced braided composite rods (BCRs) were developed and characterized for strain sensing capability. A mixture of carbon and glass fibre was used in the core, which was surrounded by a braided cover of polyester fibres. Three compositions of core with different carbon fibre/glass fibre weight ratios (23/77, 47/53, and 100/0) were studied to find out the optimum composition for both strain sensitivity and mechanical performance. The influence of carbon f...
Littell, Justin D.; Binienda, Wieslaw K.; Goldberg, Robert K.; Roberts, Gary D.
2008-01-01
Quasi-static tests have been performed on triaxially braided carbon fiber composite materials with large unit cell sizes. The effects of different fibers and matrix materials on the failure mode were investigated. Simulations of the tests have been performed using the transient dynamic finite element code, LS-DYNA. However, the wide range of failure modes observed for the triaxial braided carbon fiber composites during tests could not be simulated using composite material models currently available within LS-DYNA. A macroscopic approach has been developed that provides better simulation of the material response in these materials. This approach uses full-field optical measurement techniques to measure local failures during quasi-static testing. Information from these experiments is then used along with the current material models available in LS-DYNA to simulate the influence of the braided architecture on the failure process. This method uses two-dimensional shell elements with integration points through the thickness of the elements to represent the different layers of braid along with a new analytical method for the import of material stiffness and failure data directly. The present method is being used to examine the effect of material properties on the failure process. The experimental approaches used to obtain the required data will be described, and preliminary results of the numerical analysis will be presented.
Full-Field Strain Methods for Investigating Failure Mechanisms in Triaxial Braided Composites
Littell, Justin D.; Binienda, Wieslaw K.; Goldberg, Robert K.; Roberts, Gary D.
2008-01-01
Recent advancements in braiding technology have led to commercially viable manufacturing approaches for making large structures with complex shape out of triaxial braided composite materials. In some cases, the static load capability of structures made using these materials has been higher than expected based on material strength properties measured using standard coupon tests. A more detailed investigation of deformation and failure processes in large-unit-cell-size triaxial braid composites is needed to evaluate the applicability of standard test methods for these materials and to develop alternative testing approaches. This report presents some new techniques that have been developed to investigate local deformation and failure using digital image correlation techniques. The methods were used to measure both local and global strains during standard straight-sided coupon tensile tests on composite materials made with 12- and 24-k yarns and a 0 /+60 /-60 triaxial braid architecture. Local deformation and failure within fiber bundles was observed and correlations were made between these local failures and global composite deformation and strength.
Symmetry-protected non-Abelian braiding of Majorana Kramers pairs
Gao, Pin; He, Ying-Ping; Liu, Xiong-Jun
2016-12-01
We develop a complete theory for symmetry protected non-Abelian statistics of Majorana Kramers' pairs (MKPs) in time-reversal (TR) invariant topological superconductors, with fundamental results being uncovered. By introducing an effective Hamiltonian approach to describe the braiding of MKPs, we show that the non-Abelian braiding is protected when the effective Hamiltonian exhibits a new TR-like antiunitary symmetry, which is satisfied if the system is free of dynamical noise. Importantly, even the dynamical noise cannot cause error in braiding, unless the noise correlation function breaks a dynamical TR symmetry. This is a profound result and generalizes the TR symmetry protection of MKPs to the dynamical regime. Moreover, the resulted error by noise is shown to be a higher-order effect, compared with the decoherence of Majorana qubits without TR symmetry protection. This study completes the theory of symmetry-protected non-Abelian statistics of MKPs, and shows that the non-Abelian braiding of MKPs is well observable and may have versatile applications to future quantum computation technologies.
(Re)braiding to Tell: Using "Trenzas" as a Metaphorical-Analytical Tool in Qualitative Research
Quiñones, Sandra
2016-01-01
Metaphors can be used in qualitative research to illuminate the meanings of participant experiences and examine phenomena from insightful and creative perspectives. The purpose of this paper is to illustrate how I utilized "trenzas" (braids) as a metaphorical and analytical tool for understanding the experiences and perspectives of…
Littell, Justin D.; Binienda, Wieslaw K.; Arnold, William A.; Roberts, Gary D.; Goldberg, Robert K.
2010-01-01
The reliability of impact simulations for aircraft components made with triaxial-braided carbon-fiber composites is currently limited by inadequate material property data and lack of validated material models for analysis. Methods to characterize the material properties used in the analytical models from a systematically obtained set of test data are also lacking. A macroscopic finite element based analytical model to analyze the impact response of these materials has been developed. The stiffness and strength properties utilized in the material model are obtained from a set of quasi-static in-plane tension, compression and shear coupon level tests. Full-field optical strain measurement techniques are applied in the testing, and the results are used to help in characterizing the model. The unit cell of the braided composite is modeled as a series of shell elements, where each element is modeled as a laminated composite. The braided architecture can thus be approximated within the analytical model. The transient dynamic finite element code LS-DYNA is utilized to conduct the finite element simulations, and an internal LS-DYNA constitutive model is utilized in the analysis. Methods to obtain the stiffness and strength properties required by the constitutive model from the available test data are developed. Simulations of quasi-static coupon tests and impact tests of a represented braided composite are conducted. Overall, the developed method shows promise, but improvements that are needed in test and analysis methods for better predictive capability are examined.
Network response to internal and external perturbations in large sand-bed braided rivers
Schuurman, F.; Kleinhans, M. G.; Middelkoop, H.
2015-03-01
The intrinsic instability of bars, bifurcations and branches in large braided rivers is a challenge to understand and predict. Even more, the reach-scale effect of human-induced perturbations on the braided channel network is still unresolved. In this study, we used a physics-based model to simulate the hydromorphodynamics in a large braided river and applied different types of perturbations. We analyzed the propagation of the perturbations through the braided channel network. The results showed that the perturbations initiate an instability that propagates in downstream direction by means of bifurcation instability. It alters and rotates the approaching flow of the bifurcations. The propagation celerity is in the same order of magnitude as the theoretical sand wave propagation rate. The adjustments of the bifurcations also change bar migration and reshape, with a feedback to the upstream bifurcation and alteration of the approaching flow to the downstream bifurcation. This way, the morphological effect of a perturbation amplifies in downstream direction. Thus, the interplay of bifurcation instability and asymmetrical reshaping of bars was found to be essential for propagation of the effects of a perturbation. The study also demonstrated that the large-scale bar statistics are hardly affected.
Survival of flexible, braided, bonded stainless steel lingual retainers : a historic cohort study
Foek, D. J. Lie Sam; Ozcan, M.; Verkerke, G. J.; Sandham, John; Dijkstra, P. U.
2008-01-01
The objectives of this study were to retrospectively evaluate the clinical survival rate of flexible, braided, rectangular bonded stainless steel lingual retainers, and to investigate the influence of gender, age of the patient, and operator experience on survival after orthodontic treatment at the
Energy release in the solar corona from spatially resolved magnetic braids.
Cirtain, J W; Golub, L; Winebarger, A R; De Pontieu, B; Kobayashi, K; Moore, R L; Walsh, R W; Korreck, K E; Weber, M; McCauley, P; Title, A; Kuzin, S; DeForest, C E
2013-01-24
It is now apparent that there are at least two heating mechanisms in the Sun's outer atmosphere, or corona. Wave heating may be the prevalent mechanism in quiet solar periods and may contribute to heating the corona to 1,500,000 K (refs 1-3). The active corona needs additional heating to reach 2,000,000-4,000,000 K; this heat has been theoretically proposed to come from the reconnection and unravelling of magnetic 'braids'. Evidence favouring that process has been inferred, but has not been generally accepted because observations are sparse and, in general, the braided magnetic strands that are thought to have an angular width of about 0.2 arc seconds have not been resolved. Fine-scale braiding has been seen in the chromosphere but not, until now, in the corona. Here we report observations, at a resolution of 0.2 arc seconds, of magnetic braids in a coronal active region that are reconnecting, relaxing and dissipating sufficient energy to heat the structures to about 4,000,000 K. Although our 5-minute observations cannot unambiguously identify the field reconnection and subsequent relaxation as the dominant heating mechanism throughout active regions, the energy available from the observed field relaxation in our example is ample for the observed heating.
Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
Chorazkiewicz, Damian
2009-01-01
We construct, generalizing appropriately the method applied by J. Teschner in the case of the Virasoro conformal blocks, the braiding and fusion matrices of the Neveu-Schwarz super-conformal blocks. Their properties allow for an explicit verification of the bootstrap equation in the NS sector of the N=1 supersymmetric Liouville field theory.
Braiding properties of the N=1 super-conformal blocks (Ramond sector)
Chorazkiewicz, Damian; Jaskolski, Zbigniew
2011-01-01
Using a super scalar field representation of the chiral vertex operators we develop a general method of calculating braiding matrices for all types of N=1 super-conformal 4-point blocks involving Ramond external weights. We give explicit analytic formulae in a number of cases.
Norman, Timothy L.; Anglin, Colin; Gaskin, David; Patrick, Mike
1995-01-01
The unnotched and notched (open hole) tensile strength and failure mechanisms of two-dimensional (2D) triaxial braided composites were examined. The effect of notch size and notch position were investigated. Damage initiation and propagation in notched and unnotched coupons were also examined. Theory developed to predict the normal stress distribution near an open hole and failure for tape laminated composites was evaluated for its applicability to triaxial braided textile composite materials. Four fiber architectures were considered with different combinations of braid angle, longitudinal and braider yam size, and percentage of longitudinal yarns. Tape laminates equivalent to textile composites were also constructed for comparison. Unnotched tape equivalents were stronger than braided textiles but exhibited greater notch sensitivity. Notched textiles and tape equivalents have roughly the same strength at large notch sizes. Two common damage mechanisms were found: braider yams cracking and near notch longitudinal yarn splitting. Cracking was found to initiate in braider yarns in unnotched and notched coupons, and propagate in the direction of the braider yarns until failure. Longitudinal yarn splitting occurred in three of four architectures that were longitudinally fiber dominated. Damage initiation stress decreased with increasing braid angle. No significant differences in prediction of near notch stress between measured and predicted stress were weak for textiles with large braid angle. Notch strength could not be predicted using existing anisotropic theory for braided textiles due to their insensitivity to notch.
Analysis of the spatiotemporal planform dynamics of braided rivers: a novel laboratory investigation
Redolfi, Marco; Bertoldi, Walter; Tubino, Marco
2016-04-01
Braided rivers are highly dynamic, labile environments which experience significant morphological changes even during moderate flow events. Recent remote sensing techniques enable to monitor the river morphology with great detail. However, capturing the rapid morphological changes of a large river with sufficient temporal and spatial resolution is still very challenging. As a consequence, quantitative analysis of the braided channel dynamics is often limited to local processes (e.g. a single bifurcation or confluence) and short time periods (e.g. a single flood). This work aims at providing quantitative, statistical description of the channel network dynamics in a braided network at larger spatial and temporal scales, namely the reach scale and the multiple flood scale. This can be achieved using a new technique based on time lapse imagery that we recently developed at the University of Trento. This technique provides high frequency, two dimensional maps of the bed load transport in a large laboratory model, thus allowing to capture the spatiotemporal variability of the transport processes with unprecedented detail. We performed a set of laboratory experiments in a 23 m long, 3 m wide flume, sand bed load flume, where self-formed braided networks can be reproduced. We run several experiments with different discharges and channel widths, lasting for a long time (from 20 to 65 hours) to enable a robust statistical description of the equilibrium morphodynamics. High-resolution pictures were taken at 1 min interval from two SLR cameras, then rectified and merged in order to cover a 7 m long reach. We processed a large number of images to obtain maps of bed load transport, and we developed an algorithm to automatically identifies active (i.e. transporting) channels, bifurcations and confluences. The statistical analysis we performed includes two dimensional correlations, spatial and temporal scales, channel migration rate, avulsion frequency, bank erosion rate. This
Directory of Open Access Journals (Sweden)
Dong Feng
2015-07-01
Full Text Available Braid-delta depositional systems are widely developed in most continental basins in China. Research indicates that, for different types of braid delta, the facies sequence and association, which are critical to the prediction of the distribution of reservoirs, differ greatly. This study illustrates the differences in braid-delta depositional systems in terms of sedimentary characteristics, associated systems and reservoir distributions using three typical paleodeltas in western China: the Zhenbei delta of the upper Triassic Yanchang Formation in the Ordos Basin, the Yuanba delta of the upper Triassic Xujiahe Formation in the Sichuan Basin and the Jimsar delta of the upper Permian Wutonggou Formation in the Junggar Basin. A stratigraphic framework was established using seismic data, logs and cores by choosing stable mud sections as regional correlation markers and, topographies of these deltas were reconstructed based on the decompaction and paleobathymetric corrections. Based on both the paleotopography of these deltas and the differences of their sedimentary facies, these braided deltas can be classified into two systems: steep-gradient braid-delta-turbidite system and low-gradient braid-delta-lacustrine system. Moreover, the low-gradient braid-delta-lacustrine system can be further divided into interfingered and sharp contact sub-types according to the contact relation between the delta sands and lacustrine muds. This study shows that the paleotopography of basin margins strongly controls the accommodation as braid deltas prograde into lacustrine basins and, influences the location of the shoreline in response to changes in the lake level. Furthermore, paleotopography plays a significant role in facies and reservoir distribution which is important for petroleum exploration and development.
Yu, Li-Wei; Ge, Mo-Lin
2017-03-01
The relationships between quantum entangled states and braid matrices have been well studied in recent years. However, most of the results are based on qubits. In this paper, we investigate the applications of 2-qutrit entanglement in the braiding associated with Z3 parafermion. The 2-qutrit entangled state | Ψ (θ) >, generated by the action of the localized unitary solution R ˘ (θ) of YBE on 2-qutrit natural basis, achieves its maximal ℓ1-norm and maximal von Neumann entropy simultaneously at θ = π / 3. Meanwhile, at θ = π / 3, the solutions of YBE reduces braid matrices, which implies the role of ℓ1-norm and entropy plays in determining real physical quantities. On the other hand, we give a new realization of 4-anyon topological basis by qutrit entangled states, then the 9 × 9 localized braid representation in 4-qutrit tensor product space (C3) ⊗ 4 is reduced to Jones representation of braiding in the 4-anyon topological basis. Hence, we conclude that the entangled states are powerful tools in analysing the characteristics of braiding and R ˘ -matrix.
Zou, Qiuhua; Xue, Wen; Lin, Jing; Fu, Yijun; Guan, Guoping; Wang, Fujun; Wang, Lu
Stents have been widely used in percutaneous surgery to treat stenosis diseases. The braided NiTi stent, as a promising prototype, still has limitations of low radial force and loose structure. In the present study, a newly integrated composite stent was designed and braided with NiTi wires and polyester multifilament yarns by textile technology. The mechanical properties of four composite stents and the control bare NiTi stent were evaluated by in vitro compression, bending and anti-torsion tests. The results showed that integrated polyester/NiTi composite stents were superior in radial support. The stents could keep patency even when highly curved and had lower stent straightening force. Composite stents with certain structure stayed stable under twisting. The configuration of NiTi wires in composite stents could significantly impact stent deformation under twisting.
The algebraic crossing number and the braid index of knots and links
Kawamuro, Keiko
2009-01-01
It has been conjectured that the algebraic crossing number of a link is uniquely determined in minimal braid representation. This conjecture is true for many classes of knots and links. The Morton-Franks-Williams inequality gives a lower bound for braid index. And sharpness of the inequality on a knot type implies the truth of the conjecture for the knot type. We prove that there are infinitely many examples of knots and links for which the inequality is not sharp but the conjecture is still true. We also show that if the conjecture is true for K and L, then it is also true for the (p,q)-cable of K and for the connect sum of K and L.
Zhang, Chao; Binienda, Wieslaw K.; Morscher, Gregory; Martin, Richard E.
2012-01-01
The microcrack distribution and mass change in PR520/T700s and 3502/T700s carbon/epoxy braided composites exposed to thermal cycling was evaluated experimentally. Acoustic emission was utilized to record the crack initiation and propagation under cyclic thermal loading between -55 C and 120 C. Transverse microcrack morphology was investigated using X-ray Computed Tomography. Different performance of two kinds of composites was discovered and analyzed. Based on the observations of microcrack formation, a meso-mechanical finite element model was developed to obtain the resultant mechanical properties. The simulation results exhibited a decrease in strength and stiffness with increasing crack density. Strength and stiffness reduction versus crack densities in different orientations were compared. The changes of global mechanical behavior in both axial and transverse loading conditions were studied. Keywords: Thermal cycles; Microcrack; Finite Element Model; Braided Composite
Braided River Flow and Invasive Vegetation Dynamics in the Southern Alps, New Zealand
Caruso, Brian S.; Edmondson, Laura; Pithie, Callum
2013-07-01
In mountain braided rivers, extreme flow variability, floods and high flow pulses are fundamental elements of natural flow regimes and drivers of floodplain processes, understanding of which is essential for management and restoration. This study evaluated flow dynamics and invasive vegetation characteristics and changes in the Ahuriri River, a free-flowing braided, gravel-bed river in the Southern Alps of New Zealand's South Island. Sixty-seven flow metrics based on indicators of hydrologic alteration and environmental flow components (extreme low flows, low flows, high flow pulses, small floods and large floods) were analyzed using a 48-year flow record. Changes in the areal cover of floodplain and invasive vegetation classes and patch characteristics over 20 years (1991-2011) were quantified using five sets of aerial photographs, and the correlation between flow metrics and cover changes were evaluated. The river exhibits considerable hydrologic variability characteristic of mountain braided rivers, with large variation in floods and other flow regime metrics. The flow regime, including flood and high flow pulses, has variable effects on floodplain invasive vegetation, and creates dynamic patch mosaics that demonstrate the concepts of a shifting mosaic steady state and biogeomorphic succession. As much as 25 % of the vegetation cover was removed by the largest flood on record (570 m3/s, ~50-year return period), with preferential removal of lupin and less removal of willow. However, most of the vegetation regenerated and spread relatively quickly after floods. Some flow metrics analyzed were highly correlated with vegetation cover, and key metrics included the peak magnitude of the largest flood, flood frequency, and time since the last flood in the interval between photos. These metrics provided a simple multiple regression model of invasive vegetation cover in the aerial photos evaluated. Our analysis of relationships among flow regimes and invasive vegetation
The Effects of Spatial Resolution and Dimensionality on Modeling Braided River Hydraulics
Altenau, E. H.; Pavelsky, T.; Bates, P. D.
2015-12-01
Braided rivers are challenging features to quantify due to their dynamic morphology and dominance in remote locations. Advances in hydrodynamic modeling and remote sensing over the past few decades offer opportunities to explore braided river processes at finer resolutions with increased efficiency. These methods allow us to address questions such as: What model structure is necessary to accurately reproduce inundation extent and water surface elevations in a braided river? What effects do the smaller channels within a braided river have on simulating wave propagation and slope? How much accuracy is lost as model resolution and dimension are decreased? Here, we use the raster-based hydrodynamic model LISFLOOD-FP to simulate water surface elevations, inundation extent, and slope at various resolutions and dimensions over a ~90 km reach of the Tanana River, Alaska. Model input and validation data were collected during two field campaigns in the summers of 2013 and 2015. Field data included water surface elevation, discharge, velocity, slope, and bathymetric measurements. Six models are run to simulate flood waves across the study reach over a two-month timespan. The model structures vary in complexity from a full 2D model at 10 m resolution to a coupled 1D/2D model at 100 m resolution where the channel is represented in 1D by an effective centerline within a 2D floodplain grid. Results from the different models are compared to assess the effects on inundation extent, wave celerity, water elevations and slope. Digital elevation model (DEM) quality and resolution have major effects on inundation extent and water surface elevations, while model dimensionality has a larger effect on wave celerity and slope. Future work will compare model outputs with AirSWOT data, an airborne analog for the Surface Water and Ocean Topography (SWOT) mission, which aims to provide high-resolution measurements of terrestrial and ocean water surface elevations globally.
Braid group representations from a deformation of the harmonic oscillator algebra
Tarlini, Marco
2016-01-01
We describe a new technique to obtain representations of the braid group B_n from the R-matrix of a quantum deformed algebra of the one dimensional harmonic oscillator. We consider the action of the R-matrix not on the tensor product of representations of the algebra, that in the harmonic oscillator case are infinite dimensional, but on the subspace of the tensor product corresponding to the lowest weight vectors.
Full-field Strain Methods for Investigating Failure Mechanisms in Triaxial Braided Composites
Littell, Justin D.; Binienda, Wieslaw K.; Goldberg, Robert K.; Roberts, Gary D.
2008-01-01
Composite materials made with triaxial braid architecture and large tow size carbon fibers are beginning to be used in many applications, including composite aircraft and engine structures. Recent advancements in braiding technology have led to commercially viable manufacturing approaches for making large structures with complex shape. Although the large unit cell size of these materials is an advantage for manufacturing efficiency, the fiber architecture presents some challenges for materials characterization, design, and analysis. In some cases, the static load capability of structures made using these materials has been higher than expected based on material strength properties measured using standard coupon tests. A potential problem with using standard tests methods for these materials is that the unit cell size can be an unacceptably large fraction of the specimen dimensions. More detailed investigation of deformation and failure processes in large unit cell size triaxial braid composites is needed to evaluate the applicability of standard test methods for these materials and to develop alternative testing approaches. In recent years, commercial equipment has become available that enables digital image correlation to be used on a more routine basis for investigation of full field 3D deformation in materials and structures. In this paper, some new techniques that have been developed to investigate local deformation and failure using digital image correlation techniques are presented. The methods were used to measure both local and global strains during standard straight-sided coupon tensile tests on composite materials made with 12 and 24 k yarns and a 0/+60/-60 triaxial braid architecture. Local deformation and failure within fiber bundles was observed, and this local failure had a significant effect on global stiffness and strength. The matrix material had a large effect on local damage initiation for the two matrix materials used in this investigation
Quantifying braided river morphodynamics through a sequence of high-flow events
Williams, R. D.; Brasington, J.; Vericat, D.; Hicks, D. M.
2012-04-01
Quantifying braided river morphology and morphological change is a key task for understanding braided river behaviour. In the last decade, developments in geomatics technologies and associated data processing toolboxes have transformed the potential for producing precise, reach-scale topographic datasets. Moreover, since fast data acquisition rates enable surveys to be undertaken at frequencies that are commensurate with individual flood events, it is now possible to map morphological change for sequences of high-flow events over considerable spatial extents. The application of high-resolution remote sensing technologies to monitor braided river dynamics thus has the potential to provide considerable insight into the relationships between forcing discharges, sediment transport and morphological evolution. In this paper we present a set of Digital Elevation Models (DEMs) that have been produced by monitoring the evolution of a 2.5 x 0.7 km braided study area of the Rees River, New Zealand, through a sequence of ten high-flow events over an eight-month period. We then use the morphological approach to produce a sediment budget for the study area. The morphological evolution of the Rees River braided study area was monitored after each storm event using a combination of two remote sensing methodologies. First, dry areas of the braidplain were surveyed using a Terrestrial Laser Scanner (TLS) mounted on an Argo Amphibious All Terrain Vehicle. Second, since the TLS was not water penetrating, bathymetry was mapped using an empirically calibrated optical method, based on non-metric vertical aerial photos acquired from a helicopter and an acoustic depth survey along primary anabranches. The resulting data were fused together to produce high quality DEMs, with sub-cm and sub-decimetre vertical standard deviations of error for the TLS and optical-empirical bathymetric components respectively. The resulting set of DEMs enabled the quantification of morphological change through
Lei, Bing; Liu, Zhenguo; Ya, Jixuan; Wang, Yibo; Li, Xiaokang
2016-08-01
Cut-edge is a kind of damage for the three-dimensional four-directional (3D4d) braided composites which is inevitable because of machining to meet requisite shape and working in the abominable environment. The longitudinal tensile experiment of the 3D4d braided composites with different braiding angles between cut-edge and the ones without cut-edge was conducted. Then representative volume cell (RVC) with interface zones was established to analyze the tensile properties through the fracture and damage mechanics. The periodic boundary conditions under the cut-edge and uncut-edge conditions were imposed to simulate the failure mechanism. Stress-strain distribution and the damage evolution nephogram in cut-edge condition were conducted. Numerical results were coincident with the experimental results. Finally the variation of cut-edge effect with the specimen thickness was simulated by superimposing inner cells. The consequence showed that thickness increase can effectively reduce cut-edge influence on longitudinal strength for 3D4d braided composites. Cut-edge simulation of braided composites has guiding significance on the actual engineering application.
Wang, Yibo; Liu, Zhenguo; Lei, Bing; Huang, Xiang; Li, Xiaokang
2016-11-01
The longitudinal tensile experiments of cut-edge effect on the mechanical performance of three-dimensional full five-directional (3DF5D) braided composites were conducted. The specimens involved two different braiding angles and two different cutting ways. Fracture appearance of specimens without cut-edge and cutting along width direction presented flush, while explosive for specimen with cut-edge along thickness direction. The fracture of axis yarns mainly contributed to the damage of specimens. Cut-edge had little influence on the stiffness of 3DF5D braided composites and had approximately 20 % reduction in tensile strength compared with specimens without cut-edge. The periodic boundary conditions under cut-edge and uncut-edge situations were applied to the RVC to simulate the mesoscopic damage mechanism using finite element method. The stress-strain curves and damage evolution nephogram were obtained. The variation of cut-edge effect with the number of inner cells was predicted by superimposing inner cells method, the addition of inner cells could strengthen the performance of 3DF5D braided composites with cut-edge. These results will play an important role in evaluating the mechanical properties of braided materials after cutting.
Goldberg, Robert K.; Blinzler, Brina J.; Binienda, Wieslaw K.
2010-01-01
A macro level finite element-based model has been developed to simulate the mechanical and impact response of triaxially-braided polymer matrix composites. In the analytical model, the triaxial braid architecture is simulated by using four parallel shell elements, each of which is modeled as a laminated composite. For the current analytical approach, each shell element is considered to be a smeared homogeneous material. The commercial transient dynamic finite element code LS-DYNA is used to conduct the simulations, and a continuum damage mechanics model internal to LS-DYNA is used as the material constitutive model. The constitutive model requires stiffness and strength properties of an equivalent unidirectional composite. Simplified micromechanics methods are used to determine the equivalent stiffness properties, and results from coupon level tests on the braided composite are utilized to back out the required strength properties. Simulations of quasi-static coupon tests of several representative braided composites are conducted to demonstrate the correlation of the model. Impact simulations of a represented braided composites are conducted to demonstrate the capability of the model to predict the penetration velocity and damage patterns obtained experimentally.
Braiding and Berry's phases in non-Abelian quantum hall states
Zikos, Georgios
If one could be built, a quantum computer would be capable of storing and manipulating quantum states with sufficient accuracy to carry out computations that no classical computer can do (most notably factoring integers in polynomial time). The greatest obstacle to building such a device is the problem of error and decoherence. Classical computers can exploit the physical robustness of ordered states to protect classical information (as in, for example, the magnetically ordered state of a hard drive). Remarkably, a type of quantum order known as topological order can, in principle, play the same role for quantum information. The best studied topologically ordered states are quantum Hall states. These states arise when a two-dimensional electron gas is placed in a strong magnetic field and cooled to low temperatures. Under the right conditions, the electrons condense into an incompressible quantum liquid whose excitations are particle-like objects with fractional charge (quasiparticles). Certain quantum Hall states are thought to be non Abelian. This means that when a finite number of quasiparticles are present and fixed in space there is a low energy Hilbert space with finite dimension, rather than a unique state. Unitary operations can then be carried out on this Hilbert space by adiabatically dragging quasiparticles around one another so that their world-lines sweep out braids in 2+1 dimensional space time. A quantum computer which stores quantum information in this Hilbert space and computes by braiding is known as a topological quantum computer. In this thesis I review our work on determining precisely how one would carry out a computation on a topological quantum computer. I focus on the so-called Fibonacci anyons---quasiparticles which may exist in the experimentally observed quantum Hall state at Landau level filling fraction nu = 12/5. I give explicit prescriptions for encoding qubits (quantum bits) using Fibonacci anyons, and show how one would carry out a
Ziliani, L.; Surian, N.; Coulthard, T. J.; Tarantola, S.
2013-12-01
paper addresses an important question of modeling stream dynamics: How may numerical models of braided stream morphodynamics be rigorously and objectively evaluated against a real case study? Using simulations from the Cellular Automaton Evolutionary Slope and River (CAESAR) reduced-complexity model (RCM) of a 33 km reach of a large gravel bed river (the Tagliamento River, Italy), this paper aims to (i) identify a sound strategy for calibration and validation of RCMs, (ii) investigate the effectiveness of multiperformance model assessments, (iii) assess the potential of using CAESAR at mesospatial and mesotemporal scales. The approach used has three main steps: first sensitivity analysis (using a screening method and a variance-based method), then calibration, and finally validation. This approach allowed us to analyze 12 input factors initially and then to focus calibration only on the factors identified as most important. Sensitivity analysis and calibration were performed on a 7.5 km subreach, using a hydrological time series of 20 months, while validation on the whole 33 km study reach over a period of 8 years (2001-2009). CAESAR was able to reproduce the macromorphological changes of the study reach and gave good results as for annual bed load sediment estimates which turned out to be consistent with measurements in other large gravel bed rivers but showed a poorer performance in reproducing the characteristics of the braided channel (e.g., braiding intensity). The approach developed in this study can be effectively applied in other similar RCM contexts, allowing the use of RCMs not only in an explorative manner but also in obtaining quantitative results and scenarios.
Holistic and Consistent Design Process for Hollow Structures Based on Braided Textiles and RTM
Gnädinger, Florian; Karcher, Michael; Henning, Frank; Middendorf, Peter
2014-06-01
The present paper elaborates a holistic and consistent design process for 2D braided composites in conjunction with Resin Transfer Moulding (RTM). These technologies allow a cost-effective production of composites due to their high degree of automation. Literature can be found that deals with specific tasks of the respective technologies but there is no work available that embraces the complete process chain. Therefore, an overall design process is developed within the present paper. It is based on a correlated conduction of sub-design processes for the braided preform, RTM-injection, mandrel plus mould and manufacturing. For each sub-process both, individual tasks and reasonable methods to accomplish them are presented. The information flow within the design process is specified and interdependences are illustrated. Composite designers will be equipped with an efficient set of tools because the respective methods regard the complexity of the part. The design process is applied for a demonstrator in a case study. The individual sub-design processes are accomplished exemplarily to judge about the feasibility of the presented work. For validation reasons, predicted braiding angles and fibre volume fractions are compared with measured ones and a filling and curing simulation based on PAM-RTM is checked against mould filling studies. Tool concepts for a RTM mould and mandrels that realise undercuts are tested. The individual process parameters for manufacturing are derived from previous design steps. Furthermore, the compatibility of the chosen fibre and matrix system is investigated based on pictures of a scanning electron microscope (SEM). The annual production volume of the demonstrator part is estimated based on these findings.
Laboratory experimental investigations of braid theory using the rotor-oscillator flow
Filippi, Margaux; Atis, Séverine; Allshouse, Michael; Jacobs, Gustaaf; Budišić, Marko; Thiffeault, Jean-Luc; Peacock, Thomas
2015-11-01
Interpreting ocean surface dynamics is crucial to many areas of oceanography, ranging from marine ecology to pollution management. Motivated by this, we investigated the braid theory method to detect transport barriers bounding coherent structures in two-dimensional flows. Whereas most existing techniques rely on an extensive spatiotemporal knowledge of the flow field, we sought to identify these structures from sparse data sets involving trajectories of a few tracer particles in a two-dimensional flow. We present the results from our laboratory experiments, which were based on investigations using the rotor-oscillator flow, as a stepping stone towards oceanic applications.
Kobayashi, Satoshi; Ogihara, Shinji
In the present study, we investigate fatigue properties of green composites. A hemp fiber yarn reinforced poly(lactic acid) composite was selected as a green composite. Unidirectional (UD) and textile (Textile) composites were fabricated using micro-braiding technique. Fatigue tests results indicated that fatigue damages in UD composites was splitting which occurred just before the final fracture, while matrix crack and debonding between matrix and fiber yarn occurred and accumulated stably in Textile composites. These results were consistent with modulus reduction and acoustic emission measurement during fatigue tests.
Fang, Wen-Zhen; Zhang, Hu; Chen, Li; Tao, Wen-Quan
2015-01-01
In this paper, a multiple-relaxation-time lattice Boltzmann model with an off-diagonal collision matrix was adopted to predict the effective thermal conductivities of the anisotropic heterogeneous materials whose components are also anisotropic. The half lattice division scheme was adopted to deal with the internal boundaries to guarantee the heat flux continuity at the interfaces. Accuracy of the model was confirmed by comparisons with benchmark results and existing simulation data. The present method was then adopted to numerically predict the transverse and longitudinal effective thermal conductivities of three-dimensional (3D) four-directional braided composites. Some corresponding experiments based on the Hot Disk method were conducted to measure their transverse and longitudinal effective thermal conductivities. The predicted data fit the experiment data well. Influences of fiber volume fractions and interior braiding angles on the effective thermal conductivities of 3D four-directional braided composit...
Effects of preform architecture on modulus and strength of 2-D triaxially braided textile composites
Masters, John E.; Naik, Rajiv; Minguet, Pierre J.
1995-01-01
Laminates formed using braided fibrous preforms have been extensively investigated during the course of the past few years as alternatives to unidirectional prepreg tape systems. This paper focused on one aspect of that work. It defined the role of the fibrous preform architecture in controlling a laminate's mechanical properties. The presentation was divided into four sections as the outline listed above illustrates. The presentation began with a brief introduction which defined the objectives of the study and detailed the materials studied. This was followed by a review of empirical test results. The materials' moduli and strengths were measured in both tension and compression. Their shear moduli were also experimentally determined. The review of the empirical data comprised the bulk of the presentation. A comparison of the experimental data to results predicted analytically was then presented. The presentation concluded with a few summary remarks. The specimens studied in this investigation featured 2-D triaxially braided AS4 graphite fiber preforms impregnated with Shell 1895 epoxy resin.
Development of Hybrid Braided Composite Rods for Reinforcement and Health Monitoring of Structures
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Sohel Rana
2014-01-01
Full Text Available In the present study, core-reinforced braided composite rods (BCRs were developed and characterized for strain sensing capability. A mixture of carbon and glass fibre was used in the core, which was surrounded by a braided cover of polyester fibres. Three compositions of core with different carbon fibre/glass fibre weight ratios (23/77, 47/53, and 100/0 were studied to find out the optimum composition for both strain sensitivity and mechanical performance. The influence of carbon fibre positioning in BCR cross-section on the strain sensing behaviour was also investigated. Strain sensing property of BCRs was characterized by measuring the change in electrical resistance with flexural strain. It was observed that BCRs exhibited increase (positive response or decrease (negative response in electrical resistance depending on carbon fibre positioning. The BCR with lowest amount of carbon fibre was found to give the best strain sensitivity as well as the highest tensile strength and breaking extension. The developed BCRs showed reversible strain sensing behaviour under cyclic flexural loading with a maximum gauge factor of 23.4 at very low strain level (0.55%. Concrete beams reinforced with the optimum BCR (23/77 also exhibited strain sensing under cyclic flexural strain, although the piezoresistive behaviour in this case was irreversible.
Development of braided rope seals for hypersonic engine applications: Flow modeling
Mutharasan, Rajakkannu; Steinetz, Bruce M.; Tao, Xiaoming; Du, Guang-Wu; Ko, Frank
1992-12-01
A new type of engine seal is being developed to meet the needs of advanced hypersonic engines. A seal braided of emerging high temperature ceramic fibers comprised of a sheath-core construction was selected for study based on its low leakage rates. Flexible, low-leakage, high temperature seals are required to seal the movable engine panels of advanced ramjet-scramjet engines either preventing potentially dangerous leakage into backside engine cavities or limiting the purge coolant flow rates through the seals. To predict the leakage through these flexible, porous seal structures new analytical flow models are required. Two such models based on the Kozeny-Carman equations are developed herein and are compared to experimental leakage measurements for simulated pressure and seal gap conditions. The models developed allow prediction of the gas leakage rate as a function of fiber diameter, fiber packing density, gas properties, and pressure drop across the seal. The first model treats the seal as a homogeneous fiber bed. The second model divides the seal into two homogeneous fiber beds identified as the core and the sheath of the seal. Flow resistances of each of the main seal elements are combined to determine the total flow resistance. Comparisons between measured leakage rates and model predictions for seal structures covering a wide range of braid architectures show good agreement. Within the experimental range, the second model provides a prediction within 6 to 13 percent of the flow for many of the cases examined. Areas where future model refinements are required are identified.
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Mohamed O. E. Altahir
2014-08-01
Full Text Available The aim of this study was to assess the effect of heat treatment and salt concentrations (0, 5, and 10% on the free amino acids (FAA composition of Sudanese braided cheese (BC ripened for up to 3 months at 5±2°C. Heat and salt concentration significantly affected the FAA of braided cheese. The free amino acids concentrations of BC ripened in 0%, 5%, and 10% salted whey (SW were significantly fluctuated. Under ripening conditions tested (salt level + time, braided cheese made from pasteurized milk (BCPM had consistently lower values of FAA than braided cheese made from raw milk (BCRM. In fresh cheese, the major FAA in BCRM were Glu (36.12 nmol/ml, Leu (26.77nmol/ml and Lys (14.51 nmol/ml while the major ones in BCPM were Lys (2.94 nmol/ml and Ala (2.45 nmol/ml. BCPM stored in 10% SW had shorter quality life compared to that stored in 5% salted whey.
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Bashforth, Arden Roy; Falcon-Lang, Howard J; Gibling, Martin R
2010-01-01
. At the landscape scale, ecological gradients are evident from multivariate analyses of quadrats in a facies context. Pteridosperms dominated marginal wetlands adjacent to steep basin margins. A greater proportion of ferns occurred in or adjacent to braided channel belts, consistent with their opportunistic growth...
Low-Velocity Impact Response and Finite Element Analysis of Four-Step 3-D Braided Composites
Sun, Baozhong; Zhang, Yan; Gu, Bohong
2013-08-01
The low-velocity impact characters of 3-D braided carbon/epoxy composites were investigated from experimental and finite element simulation approaches. The quasi-static tests were carried out at a constant velocity of 2 mm/min on MTS 810.23 material tester system to obtain the indentation load-displacement curves and indentation damages. The low-velocity tests were conducted at the velocities from 1 m/s to 6 m/s (corresponding to the impact energy from 3.22 J to 116 J) on Instron Dynatup 9250 impact tester. The peak force, energy for peak force, time to peak force, and total energy absorption were obtained to determine the impact responses of 3-D braided composites. A unit cell model was established according to the microstructure of 3-D braided composites to derive the constitutive equation. Based on the model, a user-defined material subroutine (VUMAT) has been compiled by FORTRAN and connected with commercial finite element code ABAQUS/Explicit to calculate the impact damage. The unit cell model successfully predicted the impact response of 3-D braided composites. Furthermore, the stress wave propagation and failure mechanisms have been revealed from the finite element simulation results and ultimate damage morphologies of specimens.
DEFF Research Database (Denmark)
Bashforth, Arden Roy; Falcon-Lang, Howard J; Gibling, Martin R
2010-01-01
sedimentary facies comprise the deposits of large braided streams that dissected extensive wetlands containing large lakes. Quadrat analysis of 93 mostly (par)autochthonous mega¿oral assemblages indicates that pteridosperms and ferns dominated communities, with three taxa (Pecopteris spp., Callipteridium...
Montesano, John
The use of polymer matrix composites (PMC) for manufacturing primary load-bearing structural components has significantly increased in many industrial applications. Specifically in the aerospace industry, PMCs are also being considered for elevated temperature applications. Current aerospace-grade composite components subjected to fatigue loading are over-designed due to insufficient understanding of the material failure processes, and due to the lack of available generic fatigue prediction models. A comprehensive literature survey reveals that there are few fatigue studies conducted on woven and braided fabric reinforced PMC materials, and even fewer at elevated temperatures. It is therefore the objective of this study to characterize and subsequently model the elevated temperature fatigue behaviour of a triaxial braided PMC, and to investigate the elevated temperature fatigue properties of two additional woven PMCs. An extensive experimental program is conducted using a unique test protocol on the braided and woven composites, which consists of static and fatigue testing at various test temperatures. The development of mechanically-induced damage is monitored using a combination of non-destructive techniques which included infrared thermography, fiber optic sensors and edge replication. The observed microscopic damage development is quantified and correlated to the exhibited macroscopic material behaviour at all test temperatures. The fiber-dominated PMC materials considered in this study did not exhibit notable time- or temperature-dependent static properties. However, fatigue tests reveal that the local damage development is in fact notably influenced by temperature. The elevated temperature environment increases the toughness of the thermosetting polymers, which results in consistently slower fatigue crack propagation rates for the respective composite materials. This has a direct impact on the stiffness degradation rate and the fatigue lives for the braided
Multi-method Assessment of the Braided Planform Stability - Toklat River, Alaska
Adema, G. W.; Podolak, C.
2011-12-01
Maintaining infrastructure in the vicinity of a dynamic braided river is a challenging, yet necessary activity in Alaska and it requires some understanding of likely future river planform configurations. The intersection of the 150-kilometer-long gravel road which carries all of the traffic in the Denali National Park, AK, with the Toklat River, draining the north side of the glaciated Alaska Range, highlights several of these challenges. Immediately downstream from two bridges and a causeway crossing the 800-meter-wide braid plain, park infrastructure (a rest stop and a maintenance facility) is being threatened by bank erosion. In order to better protect this section of the park the National Park Service sought a geomorphic assessment of the Toklat River from the USGS. The assessment of likely planform configurations was conducted with a four-method approach - analyzing 1) channel patterns in the downstream direction, 2) changes in the lateral slope of the braidplain over time, 3) influences on the geometry of a significant tributary junction, and 4) probable post-avulsion channel configurations. This suite of analyses based on a series of cross section surveys and a large airborne LiDAR dataset were carried out using MATLAB, Quick Terrain Modeler, and ArcGIS. Patterns in the down- and cross-valley slopes, the braid plain width, and the cross-sectional forms demonstrate persistent forcings on the channel planform. Temporal trends in the cross section surveys, photographic evidence, and vegetation patterns show a braidplain that is regularly reworked. Relative discharge was estimated from two basins using a USGS-developed empirical method. The discharge was used along with confluence geometry constrain likely planform patterns downstream of a significant tributary junction. A simple momentum-based model showed a likely persistence of the current planform. The LiDAR-derived topography was used in a probabilistic analysis of likely avulsion scenarios and the likely
Moiré method applied to sediment transport in a small-scale braided river
Leduc, P.; Bellot, H.; Recking, A.
2012-04-01
Braided river patterns and sediment supply interactions are significant. Small-scale braided rivers were studied in a rectangular flume with an adjustable slope to investigate these relationships and to gain insight into the effect of grain sorting on bedform formation and migration. We used a 1.20-m-wide and 4.5-m-long flume and a mixture of fine and coarse sand ranging from 0.5 mm to 1.5 mm and from 1.5 to 3 mm (with median sizes 1 and 2 mm, respectively). The sediment feed rate and water discharge were maintained constant. The initial bed was flat with a 3% slope. The mean bed load discharge was calculated by weighing output sediments. The experiment produced bedforms and braided patterns. Equilibrium was reached with a constant number of moving bars. The Moiré method was used to study the bed topography and bedform migration precisely. This optical method considers deformations of grey fringes projected by a video projector on the bed topography. These deformations were recorded with a digital camera and analysed using the phase shifting method (with a special algorithm adapted to the experimental setup). Data produced by this algorithm were mapped with GIS software such as ArcGis. We chose the Moiré method among other methods (laser, photogrammetric, point gauge, etc.) because of its high spatial resolution and its simplicity. However, several technical aspects had to be resolved. Bed topography accuracy depends on the distance between the camera's focal plane and a reference plane parallel to the flume. As the flume and the rail supporting the camera were not parallel, this distance changed along the flume. Instead of moving constantly along a physical reference plane, two wedges were placed on the flume sides to create a virtual reference plane: a 2-cm-wide surface on the top of each wedge was extracted from photographs using image processing software, and these surfaces were used to extrapolate a single virtual reference plane for the whole flume. Two
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McVeigh Elliot R
2009-08-01
Full Text Available Abstract Background Catheter visualization and tracking remains a challenge in interventional MR. Active guidewires can be made conspicuous in "profile" along their whole shaft exploiting metallic core wire and hypotube components that are intrinsic to their mechanical performance. Polymer-based catheters, on the other hand, offer no conductive medium to carry radio frequency waves. We developed a new "active" catheter design for interventional MR with mechanical performance resembling braided X-ray devices. Our 75 cm long hybrid catheter shaft incorporates a wire lattice in a polymer matrix, and contains three distal loop coils in a flexible and torquable 7Fr device. We explored the impact of braid material designs on radiofrequency and mechanical performance. Results The incorporation of copper wire into in a superelastic nitinol braided loopless antenna allowed good visualization of the whole shaft (70 cm in vitro and in vivo in swine during real-time MR with 1.5 T scanner. Additional distal tip coils enhanced tip visibility. Increasing the copper:nitinol ratio in braiding configurations improved flexibility at the expense of torquability. We found a 16-wire braid of 1:1 copper:nitinol to have the optimum balance of mechanical (trackability, flexibility, torquability and antenna (signal attenuation properties. With this configuration, the temperature increase remained less than 2°C during real-time MR within 10 cm horizontal from the isocenter. The design was conspicuous in vitro and in vivo. Conclusion We have engineered a new loopless antenna configuration that imparts interventional MR catheters with satisfactory mechanical and imaging characteristics. This compact loopless antenna design can be generalized to visualize the whole shaft of any general-purpose polymer catheter to perform safe interventional procedures.
Force-free field modeling of twist and braiding-induced magnetic energy in an active-region corona
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Thalmann, J. K. [Institute of Physics/IGAM, University of Graz, Universitätsplatz 5, A-8010 Graz (Austria); Tiwari, S. K.; Wiegelmann, T., E-mail: julia.thalmann@uni-graz.at [Max Plank Institute for Solar System Research, Max-Planck-Str. 2, D-37191 Katlenburg-Lindau (Germany)
2014-01-01
The theoretical concept that braided magnetic field lines in the solar corona may dissipate a sufficient amount of energy to account for the brightening observed in the active-region (AR) corona has only recently been substantiated by high-resolution observations. From the analysis of coronal images obtained with the High Resolution Coronal Imager, first observational evidence of the braiding of magnetic field lines was reported by Cirtain et al. (hereafter CG13). We present nonlinear force-free reconstructions of the associated coronal magnetic field based on Solar Dynamics Observatory/Helioseismic and Magnetic Imager vector magnetograms. We deliver estimates of the free magnetic energy associated with a braided coronal structure. Our model results suggest (∼100 times) more free energy at the braiding site than analytically estimated by CG13, strengthening the possibility of the AR corona being heated by field line braiding. We were able to appropriately assess the coronal free energy by using vector field measurements and we attribute the lower energy estimate of CG13 to the underestimated (by a factor of 10) azimuthal field strength. We also quantify the increase in the overall twist of a flare-related flux rope that was noted by CG13. From our models we find that the overall twist of the flux rope increased by about half a turn within 12 minutes. Unlike another method to which we compare our results, we evaluate the winding of the flux rope's constituent field lines around each other purely based on their modeled coronal three-dimensional field line geometry. To our knowledge, this is done for the first time here.
Force-free Field Modeling of Twist and Braiding-induced Magnetic Energy in an Active-region Corona
Thalmann, J. K.; Tiwari, S. K.; Wiegelmann, T.
2014-01-01
The theoretical concept that braided magnetic field lines in the solar corona may dissipate a sufficient amount of energy to account for the brightening observed in the active-region (AR) corona has only recently been substantiated by high-resolution observations. From the analysis of coronal images obtained with the High Resolution Coronal Imager, first observational evidence of the braiding of magnetic field lines was reported by Cirtain et al. (hereafter CG13). We present nonlinear force-free reconstructions of the associated coronal magnetic field based on Solar Dynamics Observatory/Helioseismic and Magnetic Imager vector magnetograms. We deliver estimates of the free magnetic energy associated with a braided coronal structure. Our model results suggest (~100 times) more free energy at the braiding site than analytically estimated by CG13, strengthening the possibility of the AR corona being heated by field line braiding. We were able to appropriately assess the coronal free energy by using vector field measurements and we attribute the lower energy estimate of CG13 to the underestimated (by a factor of 10) azimuthal field strength. We also quantify the increase in the overall twist of a flare-related flux rope that was noted by CG13. From our models we find that the overall twist of the flux rope increased by about half a turn within 12 minutes. Unlike another method to which we compare our results, we evaluate the winding of the flux rope's constituent field lines around each other purely based on their modeled coronal three-dimensional field line geometry. To our knowledge, this is done for the first time here.
Directory of Open Access Journals (Sweden)
Ziliang Liu
Full Text Available A large, shallow braided river delta sedimentary system developed in the Yanchang Formation during the Triassic in the southwest of the Ordos basin. In this braided delta system, abundant oil and gas resources have been observed, and the area is a hotspot for oil and gas resource exploration. Through extensive field work on outcrops and cores and analyses of geophysical data, it was determined that developments in the Late Triassic produced favorable geological conditions for the development of shallow water braided river deltas. Such conditions included a large basin, flat terrain, and wide and shallow water areas; wet and dry cyclical climate changes; ancient water turbulence; dramatic depth cycle changes; ancient uplift development; strong weathering of parent rock; and abundant supply. The shallow water braided river delta showed grain sediment granularity, plastic debris, and sediment with mature composition and structure that reflected the strong hydrodynamic environment of large tabular cross-bedding, wedge cross-bedding, and multiple positive rhythms superimposed to form a thick sand body layer. The branch river bifurcation developed underwater, and the thickness of the sand body increased further, indicating that the slope was slow and located in shallow water. The seismic responses of the braided river delta reflected strong shallow water performance, indicated by a progradation seismic reflection phase axis that was relatively flat; in addition, the seismic reflection amplitude was strong and continuous with a low angle and extended over considerable distances (up to 50 km. The sedimentary center was close to the provenance, the width of the river was large, and a shallow sedimentary structure and a sedimentary rhythm were developed. The development of the delta was primarily controlled by tectonic activity and changes in the lake level; as a result, the river delta sedimentary system eventually presented a "small plain, big front
Institute of Scientific and Technical Information of China (English)
XIA JunQiang; WU BaoSheng; WANG YanPing; ZHAO ShouGang
2008-01-01
The channel adjustment in a braided reach is very prominent in the fluvial processes of the Lower Yellow River, in which the process of bank erosion plays an important role, especially during the period of clear water scouring. The process of bank erosion is closely related to soil composition and mechanical properties of the riverbanks. In this paper, the recent bank erosion process in a braided reach between Huayuankou and Gaocun was firstly investigated after the water impoundment and sediment detention of the Xiaolangdi Reservoir, and then a field observation and indoor soil tests were conducted at 10 typical riverbanks in the braided reach. Through analyzing the experimental results, changes of riverbank-soil composition and mechanical properties were found, and the two real reasons causing serious bank erosion in the braided reach were identified. The following conclusions were drawn from this study: (i) the majority of riverbanks are made up of cohesive soil, and can be characterized by obvious vertical stratification structures of soil composition; (ii) these riverbanks are very erodible due to the lower clay-content and weak erosion-resistant strength in the bank soil, with its critical shear stress value (0.1-0.3 Pa) being much less than that of the average near-bank flow shear stress (2.0-3.0 Pa), which is one important reason causing serious bank erosion; (iii) frequent occurrence of bank failure during flood seasons usually results from the fact that the values of shear strength parameters such as the cohesion and internal friction angle decrease with the increase of water content in riverbank soil, and the value of cohesion reduces drastically from 34 to 4 kPa with the increase of water content, which is another important reason causing serious bank erosion in the braided reach.
The Brauer Group of Central Separable Monoids in a Braided Monoidal Category
Institute of Scientific and Technical Information of China (English)
J.M. Fernández Vilaboa; R. González Rodríguez; E. Villanueva Novoa
2002-01-01
For a braided monoidal category (C,(○×), K, c), in a previous paper, we construct a Brauer group B1,c(C) for the 1-Azumaya monoids in C. In this paper,we investigate separability and centrality properties for 1-Azumaya monoids when the coequalizers in C are stable. This leads to the notion of 2-Azumaya monoids,and to a new subgroup B2,c(C) of the Brauer group B1,c(C) that generalizes the analogous groups in the symmetric case. Finally, we prove that B2,c(C) and B1,c(C) are equal if the base object of the category is projective.
Littell, Justin D.
2013-01-01
Increasingly, carbon composite structures are being used in aerospace applications. Their highstrength, high-stiffness, and low-weight properties make them good candidates for replacing many aerospace structures currently made of aluminum or steel. Recently, many of the aircraft engine manufacturers have developed new commercial jet engines that will use composite fan cases. Instead of using traditional composite layup techniques, these new fan cases will use a triaxially braided pattern, which improves case performance. The impact characteristics of composite materials for jet engine fan case applications have been an important research topic because Federal regulations require that an engine case be able to contain a blade and blade fragments during an engine blade-out event. Once the impact characteristics of these triaxial braided materials become known, computer models can be developed to simulate a jet engine blade-out event, thus reducing cost and time in the development of these composite jet engine cases. The two main problems that have arisen in this area of research are that the properties for these materials have not been fully determined and computationally efficient computer models, which incorporate much of the microscale deformation and failure mechanisms, are not available. The research reported herein addresses some of the deficiencies present in previous research regarding these triaxial braided composite materials. The current research develops new techniques to accurately quantify the material properties of the triaxial braided composite materials. New test methods are developed for the polymer resin composite constituent and representative composite coupons. These methods expand previous research by using novel specimen designs along with using a noncontact measuring system that is also capable of identifying and quantifying many of the microscale failure mechanisms present in the materials. Finally, using the data gathered, a new hybrid
The algebraic Bethe ansatz for rational braid-monoid lattice models
Martins, M J
1997-01-01
In this paper we study isotropic integrable systems based on the braid-monoid algebra. These systems constitute a large family of rational multistate vertex models and are realized in terms of the B_n, C_n and D_n Lie algebra and by the superalgebra Osp(n|2m). We present a unified formulation of the quantum inverse scattering method for many of these lattice models. The appropriate fundamental commutation rules are found, allowing us to construct the eigenvectors and the eigenvalues of the transfer matrix associated to the B_n, C_n, D_n, Osp(2n-1|2), Osp(2|2n-2), Osp(2n-2|2) and Osp(1|2n) models. The corresponding Bethe Ansatz equations can be formulated in terms of the root structure of the underlying algebra.
Step by step error assessment in braided river sediment budget using airborne LiDAR data
Lallias-Tacon, S.; Liébault, F.; Piégay, H.
2014-06-01
Sequential airborne LiDAR surveys were used to reconstruct the sediment budget of a 7-km-long braided river channel in southeastern France following a 14-year return period flood and to improve its accuracy step by step. Data processing involved (i) surface matching of the sequential point clouds, (ii) spatially distributed propagation of uncertainty based on surface conditions of the channel, and (iii) water depth subtraction from the digital elevation models based on water depths measured in the field. The respective influence of each processing step on sediment budget computation was systematically documented. This showed that surface matching and water depth subtraction both have a considerable effect on the net sediment budget. Although DEM of difference thresholding based on uncertainty analysis on absolute elevation values had a smaller effect on the sediment budget, this step is crucial for the production of a comprehensive map of channel deformations. A large independent data set of RTK-GPS checkpoints was used to control the quality of the LiDAR altimetry. The results showed that high density (7-9 points/m2) airborne LiDAR surveys can provide a very high level of detection of elevation changes on the exposed surfaces of the channel, with a 95% confidence interval level of detection between 19 and 30 cm. Change detection from LiDAR data revealed that 54% of the pre-flood active channel was reworked by the flood. The braided channel pattern was highly disturbed by the flood owing to the occurrence of several channel avulsions.
Directory of Open Access Journals (Sweden)
Zhang Yujing
2016-01-01
Full Text Available This paper is aimed at analyzing the dynamic behavior of the gear transmission system in a braiding machine. In order to observe the nonlinear phenomenon and reveal the time-varying gear meshing mechanism, a mathematical model with five degrees-of-freedom gear system under internal and external random disturbance of gear system is established. With this model, bifurcation diagrams, Poincare maps, phase diagrams, power spectrum, time-process diagrams, and Lyapunov exponents are used to identify the chaotic status. Meanwhile, by these analytical methods, spur gear pair with or without random perturbation are compared. The numerical results suggest that the vibration behavior of the model is consistent with that of Clifford system. The chaotic system associated parameters are picked out, which can be helpful to the design and control of braiding machines.
Institute of Scientific and Technical Information of China (English)
CAI Gan-wei; WANG Xiang; WANG Ru-gui; LI Zhao-jun; ZHANG Xiao-bin; CANG Ping-ping
2005-01-01
A motor-driven linkage system with links fabricated from 3-dimensional braided composite materials was studied. A group of coupling dynamic equations of the system, including composite materials parameters, electromagnetism parameters of the motor and structural parameters of the link mechanism, were established by finite element method. Based on the air-gap field of non-uniform airspace of three-phase alternating current motor caused by the vibration eccentricity of rotor, the relation of electromechanical coupling at the actual running state was analyzed. And the motor element, which defines the transverse vibration and torsional vibration of the motor as its nodal displacement, was established. Then, based on the damping element model and the expression of energy dissipation of the 3-dimentional braided composite materials, the damping matrix of the system was established by calculating each order modal damping of the mechanism.
The cohomology of the braid group B_3 and of SL_2(Z) with coefficients in a geometric representation
Callegaro, Filippo; Salvetti, Mario
2012-01-01
The purpose of this article is to describe the integral cohomology of the braid group B_3 and SL_2(Z) with local coefficients in a classical geometric representation given by symmetric powers of the natural symplectic representation. These groups have a description in terms of the so called "divided polynomial algebra". The results show a strong relation between torsion part of the computed cohomology and fibrations related to loop spaces of spheres.
Modeling the topography of shallow braided rivers using Structure-from-Motion photogrammetry
Javernick, L.; Brasington, J.; Caruso, B.
2014-05-01
Recent advances in computer vision and image analysis have led to the development of a novel, fully automated photogrammetric method to generate dense 3d point cloud data. This approach, termed Structure-from-Motion or SfM, requires only limited ground-control and is ideally suited to imagery obtained from low-cost, non-metric cameras acquired either at close-range or using aerial platforms. Terrain models generated using SfM have begun to emerge recently and with a growing spectrum of software now available, there is an urgent need to provide a robust quality assessment of the data products generated using standard field and computational workflows. To address this demand, we present a detailed error analysis of sub-meter resolution terrain models of two contiguous reaches (1.6 and 1.7 km long) of the braided Ahuriri River, New Zealand, generated using SfM. A six stage methodology is described, involving: i) hand-held image acquisition from an aerial platform, ii) 3d point cloud extraction modeling using Agisoft PhotoScan, iii) georeferencing on a redundant network of GPS-surveyed ground-control points, iv) point cloud filtering to reduce computational demand as well as reduce vegetation noise, v) optical bathymetric modeling of inundated areas; and vi) data fusion and surface modeling to generate sub-meter raster terrain models. Bootstrapped geo-registration as well as extensive distributed GPS and sonar-based bathymetric check-data were used to quantify the quality of the models generated after each processing step. The results obtained provide the first quantified analysis of SfM applied to model the complex terrain of a braided river. Results indicate that geo-registration errors of 0.04 m (planar) and 0.10 m (elevation) and vertical surface errors of 0.10 m in non-vegetation areas can be achieved from a dataset of photographs taken at 600 m and 800 m above the ground level. These encouraging results suggest that this low-cost, logistically simple method can
Magnetic Structure of Sites of Braiding in Hi-C Active Region
Tiwari, S. K.; Alexander, C. E.; Winebarger, A.; Moore, R. L.
2014-01-01
High-resolution Coronal Imager (Hi-C) observations of an active region (AR) corona, at a spatial resolution of 0.2 arcsec, have offered the first direct evidence of field lines braiding, which could deliver sufficient energy to heat the AR corona by current dissipation via magnetic reconnection, a proposal given by Parker three decades ago. The energy required to heat the corona must be transported from the photosphere along the field lines. The mechanism that drives the energy transport to the corona is not yet fully understood. To investigate simultaneous magnetic and intensity structure in and around the AR in detail, we use SDO/HMI+AIA data of + / - 2 hours around the 5 minute Hi-C flight. In the case of the QS, work done by convection/granulation on the inter-granular feet of the coronal field lines probably translates into the heat observed in the corona. In the case of the AR, as here, there could be flux emergence, cancellation/submergence, or shear flows generating large stress and tension in coronal field loops which is released as heat in the corona. However, to the best of our knowledge, there is no observational evidence available to these processes. We investigate the changes taking place in the photospheric feet of the magnetic field involved with brightenings in the Hi-C AR corona. Using HMI 45s magnetograms of four hours we find that, out of the two Hi-C sub-regions where the braiding of field lines were recently detected, flux emergence takes place in one region and flux cancellation in the other. The field in these sub-regions are highly sheared and have apparent high speed plasma flows at their feet. Therefore, shearing flows plausibly power much of the coronal and transition region heating in these areas of the AR. In addition, the presence of large flux emergence/cancellation strongly suggests that the work done by these processes on the pre-existing field also drives much of the observed heating.
Ataş, Akın; Gautam, Mayank; Soutis, Constantinos; Potluri, Prasad
2016-10-01
Experimental behaviour of bolted joints in triaxial braided (0°/±45°) carbon fibre/epoxy composite laminates with drilled and moulded-in fastener holes has been investigated in this paper. Braided laminates were manufactured by vacuum infusion process using 12 K T700S carbon fibres (for bias and axial tows) and Araldite LY-564 epoxy resin. Moulded-in fastener holes were formed using guide pins which were inserted in the braided structure prior to the vacuum infusion process. The damage mechanism of the specimens was investigated using ultrasonic C-Scan technique. The specimens were dimensioned to obtain a bearing mode of failure. The bearing strength of the specimens with moulded-in hole was reduced in comparison to the specimens with drilled hole, due to the increased fibre misalignment angle following the pin insertion procedure. An improvement on the bearing strength of moulded-in hole specimens might be developed if the specimen dimensions would be prepared for a net-tension mode of failure where the fibre misalignment would not have an effect as significant as in the case of bearing failure mode, but this mode should be avoided since it leads to sudden catastrophic failures.
Ni, Xiao-Yu; Pan, Chang-Wang; Gangadhara Prusty, B
2015-08-01
This paper discusses various issues relating to the mechanical properties of a braided non-vascular stent made of a Ni-Ti alloy. The design of the stent is a major factor which determines its reliability after implantation into a stenosed non-vascular cavity. This paper presents the effect of the main structural parameters on the mechanical properties of braided stents. A parametric analysis of a commercial stent model is developed using the commercial finite element code ANSYS. As a consequence of the analytical results that the pitch of wire has a greater effect than other structural parameters, a new design of a variable pitch stent is presented to improve mechanical properties of these braided stents. The effect of structural parameters on mechanical properties is compared for both stent models: constant and variable pitches. When the pitches of the left and right quarters of the stent are 50% larger and 100% larger than that of the central portion, respectively, the radial stiffness in the central portion increases by 10% and 38.8%, while the radial stiffness at the end portions decreases by 128% and 164.7%, the axial elongation by 25.6% and 56.6% and the bending deflection by 3.96% and 10.15%. It has been demonstrated by finite element analysis that the variable pitch stent can better meet the clinical requirements.
Demissie, Biadgilgn; Frankl, Amaury; Haile, Mitiku; Nyssen, Jan
2014-05-01
Braided rivers have received relatively little attention in research and development activities in drylands. However, they strongly impact agroecology and agricultural activities and thereby local livelihoods. The Raya Graben (3750 km² including the escarpment) is a marginal graben of the Ethiopian Rift Valley located in North Ethiopia. In order to study the dynamics of braided rivers and the relationship with biophysical controls, 20 representative catchments were selected, ranging between 15 and 311 km². First, the 2005 morphology (length, area) of the braided rivers was related to biophysical controls (vegetation cover, catchment area and slope gradient in the steep upper catchments and gradient in the graben bottom). Second, the changes in length of the braided rivers were related to vegetation cover changes in the upper catchments since 1972. Landsat imagery was used to calculate the Normalized Difference Vegetation Index (NDVI), and to map vegetation cover and the total length of the braided rivers. Spot CNES imagery available from Google Earth was used to identify the total area of the braided rivers in 2005. A linear regression analysis revealed that the length of braided rivers was positively related to the catchment area (R²=0.32, p<0.01), but insignificantly related to vegetation cover in the upper catchments. However, there is an indication that it is an important factor in the relationship calculated for 2005 (R²=0.2, p=0.064). Similarly, the area occupied by the braided rivers was related to NDVI (R²=0.24, p<0.05) and upper catchment area (R²=0.447, p<0.01). Slope gradient is not an important explanatory factor. This is related to the fact that slope gradients are steep (average of 38.1%) in all upper and gentle (average of 3.4%) in graben bottom catchments. The vegetation cover in the upper catchments shows a statistically insignificant increasing trend (R²=0.73, p=0.067) over the last 40 years, whereas length of rivers in the graben bottom
The classification of the virtually cyclic subgroups of the sphere braid groups
Gonçalves, Daciberg Lima
2011-01-01
We study the problem of determining the isomorphism classes of the virtually cyclic subgroups of the n-string braid groups B_n(S^2) of the 2-sphere S^2. If n is odd, or if n is even and sufficiently large, we obtain the complete classification. For small even values of n, the classification is complete up to an explicit finite number of open cases. In order to prove our main theorem, we obtain a number of other results of independent interest, notably the characterisation of the centralisers and normalisers of the finite cyclic and dicyclic subgroups of B_n(S^2), a result concerning conjugate powers of finite order elements, an analysis of the isomorphism classes of the amalgamated products that occur as subgroups of B_n(S^2), as well as an alternative proof of the fact that the universal covering space of the n-th configuration space of S^2 has the homotopy type of S^3 if n is greater than or equal to three.
Evaluation of Test Methods for Triaxially Braided Composites using a Meso-Scale Finite Element Model
Energy Technology Data Exchange (ETDEWEB)
Zhang, Chao
2015-10-01
The characterization of triaxially braided composite is complicate due to the nonuniformity of deformation within the unit cell as well as the possibility of the freeedge effect related to the large size of the unit cell. Extensive experimental investigation has been conducted to develop more accurate test approaches in characterizing the actual mechanical properties of the material we are studying. In this work, a meso-scale finite element model is utilized to simulate two complex specimens: notched tensile specimen and tube tensile specimen, which are designed to avoid the free-edge effect and free-edge effect induced premature edge damage. The full field strain data is predicted numerically and compared with experimental data obtained by Digit Image Correlation. The numerically predicted tensile strength values are compared with experimentally measured results. The discrepancy between numerically predicted and experimentally measured data, the capability of different test approaches are analyzed and discussed. The presented numerical model could serve as assistance to the evaluation of different test methods, and is especially useful in identifying potential local damage events.
Braided rivers, lakes and sabkhas of the upper Triassic Cifuncho formation, Atacama region, Chile
Suárez, M.; Bell, C. M.
1994-01-01
A 1,000-m-thickness of Upper Triassic (to possibly Hettangian) sediments of the Cifuncho Formation are exposed in the coastal Cordillera of the Atacama Region, Chile. These coarse-grained clastic terrigenous strata are interpreted as the deposits of braided rivers, ephemeral lakes, sabkhas and volcaniclastic alluvial fans. They include conglomerates, pebbly sandstones, fine to medium-grained sandstones and thin, finely-laminated limestones. Halite hopper-casts are abundant in sandstones near the top of the section. Approximately 90% of the clastic detritus was derived from an upper Paleozoic metasedimentary accretionary complex located to the west. Andesitic debris flow and pyroclastic flow deposits occur near the base of the sequence. Isolated tuff intercalations and an ignimbritic lava flow occur higher in the section. The great thickness of coarse-grained and ill-sorted clastic sediments suggests deposition in an actively subsiding basin, probably a graben, adjacent to rising highlands. Overlying Hettangian-Sinemurian marine sediments were deposited by a transgression which occurred during a world-wide lowstand. This suggests that thermal subsidence followed the Triassic rifting.
3D flexible NiTi-braided elastomer composites for smart structure applications
Heller, L.; Vokoun, D.; Šittner, P.; Finckh, H.
2012-04-01
While outstanding functional properties of thin NiTi wires are nowadays well recognized and beneficially utilized in medical NiTi devices, development of 2D/3D wire structures made out of these NiTi wires remains challenging and mostly unexplored. The research is driven by the idea of creating novel 2D/3D smart structures which inherit the functional properties of NiTi wires and actively utilize geometrical deformations within the structure to create new/improved functional properties. Generally, textile technology provides attractive processing methods for manufacturing 2D/3D smart structures made out of NiTi wires. Such structures may be beneficially combined with soft elastomers to create smart deformable composites. Following this route, we carried out experimental work focused on development of 3D flexible NiTi-braided elastomer composites involving their design, laboratory manufacture and thermomechanical testing. We describe the manufacturing technology and structural properties of these composites; and perform thermomechanical tests on the composites, focusing particularly on quasistatic tensile properties, energy absorption, damping and actuation under tensile loading. Functional thermomechanical properties of the composites are discussed with regard to the mechanical properties of the components and architecture of the composites. It is found that the composites indeed inherit all important features of the thermomechanical behavior of NiTi wires but, due to their internal architecture, outperform single NiTi wires in some features such as the magnitude of recoverable strain, superelastic damping capacity and thermally induced actuation strain.
Tremblay, Jaëlle; Mac-Thiong, Jean-Marc; Brailovski, Vladimir; Petit, Yvan
2015-09-01
This study investigates the use of braided tubular superelastic cables, previously used for sternum closure following sternotomy, as sublaminar fixation method. It compares the biomechanical performance of spinal instrumentation fixation systems with regular sublaminar cables and proprietary superelastic cables. A hybrid experimental protocol was applied to six porcine L1-L4 spinal segments to compare multifilament sublaminar cables (Atlas, Medtronic Sofamor Danek, Memphis, TN) with proprietary superelastic cables. First, intact total range of motion was determined for all specimens using pure moment loading. Second, pure moments were imposed to the instrumented specimens until these intact total ranges of motion were reproduced. Compared to the intact specimens, the use of superelastic cables resulted in stiffer instrumented specimens than the use of multifilament cables for all the loading modes except axial torsion. Consequently, the superelastic cables limited the instrumented segments mobility more than the multifilament cables. Spinal instrumentation fixation systems using superelastic cables could be a good alternative to conventional sublaminar cables as it maintains a constant stabilization of the spine during loading.
Caruso, Brian S; Pithie, Callum; Edmondson, Laura
2013-08-15
This study evaluated flow regimes and flood pulse characteristics, and their influences on invasive riparian vegetation, in a free-flowing braided river in the Southern Alps, South Island, New Zealand. A 46-year gauged flow record was used to evaluate 67 flow metrics for the Ahuriri River, and five sets of colour aerial photographs over 20 years (1991-2011) were analysed to quantify temporal and spatial changes in vegetation (crack willow, Russell lupin, and grassland). The correlation between flow metrics and vegetation class cover for each aerial photo interval was analysed, and multiple regression models were developed. Significant changes in different invasive vegetation classes were found, including cover, number and sizes of patches, and distances from patches to primary channels. In addition to infrequent large floods, specific characteristics of small floods, high flows, low/baseflows, and extreme low flows had influences on different vegetation classes. Key metrics that appear to drive changes in cover and provide a useful multiple regression model include the largest flood peak, frequency of floods, and the time since the last flood for each air photo interval. Up to 25% of invasive vegetation cover was removed and bare substrate increased after the largest flood on record (approximately 50-year flood), and the amount of vegetation cover is highly variable over time and space. Within approximately six years, however, the proportion of vegetation recovered to pre-flood levels. The study reach appears to demonstrate the "shifting-mosaic steady state" conceptual model of riverine floodplains, where the total proportion of substrate, vegetation and water remain relatively constant over long time periods.
Williams, R D; Measures, R; Hicks, D M; Brasington, J
2016-08-01
Numerical morphological modeling of braided rivers, using a physics-based approach, is increasingly used as a technique to explore controls on river pattern and, from an applied perspective, to simulate the impact of channel modifications. This paper assesses a depth-averaged nonuniform sediment model (Delft3D) to predict the morphodynamics of a 2.5 km long reach of the braided Rees River, New Zealand, during a single high-flow event. Evaluation of model performance primarily focused upon using high-resolution Digital Elevation Models (DEMs) of Difference, derived from a fusion of terrestrial laser scanning and optical empirical bathymetric mapping, to compare observed and predicted patterns of erosion and deposition and reach-scale sediment budgets. For the calibrated model, this was supplemented with planform metrics (e.g., braiding intensity). Extensive sensitivity analysis of model functions and parameters was executed, including consideration of numerical scheme for bed load component calculations, hydraulics, bed composition, bed load transport and bed slope effects, bank erosion, and frequency of calculations. Total predicted volumes of erosion and deposition corresponded well to those observed. The difference between predicted and observed volumes of erosion was less than the factor of two that characterizes the accuracy of the Gaeuman et al. bed load transport formula. Grain size distributions were best represented using two φ intervals. For unsteady flows, results were sensitive to the morphological time scale factor. The approach of comparing observed and predicted morphological sediment budgets shows the value of using natural experiment data sets for model testing. Sensitivity results are transferable to guide Delft3D applications to other rivers.
Williams, R. D.; Brasington, J.; Hicks, M.; Measures, R.; Rennie, C. D.; Vericat, D.
2013-09-01
Gravel-bed braided rivers are characterized by shallow, branching flow across low relief, complex, and mobile bed topography. These conditions present a major challenge for the application of higher dimensional hydraulic models, the predictions of which are nevertheless vital to inform flood risk and ecosystem management. This paper demonstrates how high-resolution topographic survey and hydraulic monitoring at a density commensurate with model discretization can be used to advance hydrodynamic simulations in braided rivers. Specifically, we detail applications of the shallow water model, Delft3d, to the Rees River, New Zealand, at two nested scales: a 300 m braid bar unit and a 2.5 km reach. In each case, terrestrial laser scanning was used to parameterize the topographic boundary condition at hitherto unprecedented resolution and accuracy. Dense observations of depth and velocity acquired from a mobile acoustic Doppler current profiler (aDcp), along with low-altitude aerial photography, were then used to create a data-rich framework for model calibration and testing at a range of discharges. Calibration focused on the estimation of spatially uniform roughness and horizontal eddy viscosity, νH, through comparison of predictions with distributed hydraulic data. Results revealed strong sensitivity to νH, which influenced cross-channel velocity and localization of high shear zones. The high-resolution bed topography partially accounts for form resistance, and the recovered roughness was found to scale by 1.2-1.4 D84 grain diameter. Model performance was good for a range of flows, with minimal bias and tight error distributions, suggesting that acceptable predictions can be achieved with spatially uniform roughness and νH.
Measures, R.; Hicks, D. M.; Brasington, J.
2016-01-01
Abstract Numerical morphological modeling of braided rivers, using a physics‐based approach, is increasingly used as a technique to explore controls on river pattern and, from an applied perspective, to simulate the impact of channel modifications. This paper assesses a depth‐averaged nonuniform sediment model (Delft3D) to predict the morphodynamics of a 2.5 km long reach of the braided Rees River, New Zealand, during a single high‐flow event. Evaluation of model performance primarily focused upon using high‐resolution Digital Elevation Models (DEMs) of Difference, derived from a fusion of terrestrial laser scanning and optical empirical bathymetric mapping, to compare observed and predicted patterns of erosion and deposition and reach‐scale sediment budgets. For the calibrated model, this was supplemented with planform metrics (e.g., braiding intensity). Extensive sensitivity analysis of model functions and parameters was executed, including consideration of numerical scheme for bed load component calculations, hydraulics, bed composition, bed load transport and bed slope effects, bank erosion, and frequency of calculations. Total predicted volumes of erosion and deposition corresponded well to those observed. The difference between predicted and observed volumes of erosion was less than the factor of two that characterizes the accuracy of the Gaeuman et al. bed load transport formula. Grain size distributions were best represented using two φ intervals. For unsteady flows, results were sensitive to the morphological time scale factor. The approach of comparing observed and predicted morphological sediment budgets shows the value of using natural experiment data sets for model testing. Sensitivity results are transferable to guide Delft3D applications to other rivers. PMID:27708477
Topological steps toward the Homflypt skein module of the lens spaces $L(p,1)$ via braids
Diamantis, Ioannis; Lambropoulou, Sofia; Przytycki, Jozef
2016-01-01
In this paper we work toward the Homflypt skein module of the lens spaces $L(p,1)$, $\\mathcal{S}(L(p,1))$, using braids. In particular, we establish the connection between $\\mathcal{S}({\\rm ST})$, the Homflypt skein module of the solid torus ST, and $\\mathcal{S}(L(p,1))$ and arrive at an infinite system, whose solution corresponds to the computation of $\\mathcal{S}(L(p,1))$. We start from the Lambropoulou invariant $X$ for knots and links in ST, the universal analogue of the Homflypt polynomi...
NEAR-IR Spectroscopy of Young Stars in the Braid Nebula Star Formation Region in Cygnus Ob7
Aspin, Colin; Beck, Tracy L.; Pyo, Tae-Soo; Davis, Chris J.; Schieven, G. M.; Khanzadyan, Tigran; Magakian, Tigran; Movsessian, Tigran; NIkogossian, Elena G.; Mitchison, Sharon; Smith, Michael D.
2008-01-01
We present 1.4 to 2.5 um integral field spectroscopy of 16 stars in the Braid Nebula star formation region in Cygnus OB7. These data forms one aspect of a large-scale multi-wavelength survey aimed at determining an unbiased estimate of the number, mass distribution, and evolutionary state of the young stars within this one square degree area of the previously poorly studied Lynds 1003 molecular cloud. Our new spectroscopic data, when combined with 2MASS near-IR photometry, provide evidence of...
Fioravanti, D; Fioravanti, Davide; Rossi, Marco
2001-01-01
A generalization of the Yang-Baxter algebra is found in quantizing the monodromy matrix of two (m)KdV equations discretized on a space lattice. This braided Yang-Baxter equation still ensures that the transfer matrix generates operators in involution which form the Cartan sub-algebra of the braided quantum group. Representations diagonalizing these operators are described through relying on an easy generalization of Algebraic Bethe Ansatz techniques. The conjecture that this monodromy matrix algebra leads, {\\it in the cylinder continuum limit}, to a Perturbed Minimal Conformal Field Theory description is analysed and supported.
Jules Fleury, Thomas; Pothin, Virginie; Vella, Claude; Dussouillez, Philippe; Izem, Abdelkoddouss
2015-04-01
Low-altitude aerial photogrammetry offers new opportunities for geomorphology and other fields requiring very high-resolution topographic data. It combines the advantages of the reproducibility of GPS topographic surveys with the high accuracy of LIDAR, but at relatively low-cost, easy-to-deploy and with the synaptic advantage of remote sensing. In order to evaluate the potential of photogrammetry on river systems and to assess river-bed changes and erosion-accretion processes, we conducted several surveys over the period of one year on the Buech river, a gravel-bed braided river located in the French Southern Alps. The study area is located directly upstream of a gravel pit and there is an interest in evaluating its effects on the riverbed. Our field protocol was comprised of vertical aerial photographs taken from a microlight aircraft flying approximately 300 ft above the ground. The equipment used was a full-frame DSLR with a wide angle lense, synchronised with a DGPS onboard. Fourty 40cm wide targets were placed on the ground and georeferenced by RTK DGPS with an accuracy of 2cm. In addition, close to one thousand Ground Control Points (GCPs) were measured within the different types of ground surfaces (vegetated, water, gravels) in order to assess the Digital Terrain Model (DTM) accuracy. We operated the production of the 3D model and its derived products: Digital Surface Model (DSM) and orthophotography, with user-friendly Agisoft (c) Photoscan Professional software. The processing of several hundred pictures with 2.5 cm ground resolution resulted in a DSM with a resolution of 10 cm and a vertical accuracy within 5 cm. As is expected, accuracy was best on bare bars and decreased with increasing vegetation density. To complement the DSM in the wetted channels, we used the orthophotos to establish a relationship between water color and flow depth using statistical multivariate regressions. Merging the bathymetric model and the DSM produced a DTM with a vertical
Compressive response and failure of braided textile composites: Experiments and analysis
Quek, Shu Ching
Textile composites have similar mechanical attributes when compared with other fiber reinforced composites, however, because of cost effective manufacturability, they are being considered as a viable alternative for structural applications in the aerospace and automotive industries. This thesis focuses on the compressive response of a 2D flat triaxial braided composite (2DTBC) under conditions that are similar to those encountered when a tubular structural member undergoes axial compressive crush. During crush, the walls of the member are subjected to predominantly biaxial stress state of compression (lengthwise) and tension (widthwise), while, near the end of the tube where the loading is introduced, a combined bending and compression type of biaxial stress state is predominant. Experiments on flat 2DTBCs were carried out under two types of load states: compression/tension (C/T) and bending/compression (B/C). C/T tests were carried out on a special planar biaxial load frame. External loads and full field planar incremental strain fields (the Deltaepsilonx, Deltaepsilon y and Deltagammaxy) were captured during the loading process via digital speckle photography (DSP). Failure mechanisms were investigated and supplemented by post experiment microscopy. Similarly, load and strain data were obtained from the B/C tests, which was based on a novel eccentric Elastica experimental configuration. The experimental results provided fundamental insight into the failure mechanisms of 2DTBCs and motivated the development of robust micromechanics based strength models for the 2DTBCs. In addition, the biaxial experimental data provide grounds for the validation of failure theories that have been conceived on measurements based on uniaxial loading. An analytical model based on constituent properties and textile geometry as input was developed to determine the elastic orthotropic stiffness properties of a 2DTBC. A finite element (FE) based micromechanics model of the 2DTBC was
Dhom, Jonas; Bloes, Dominik A; Peschel, Andreas; Hofmann, Ulf Krister
2016-05-21
Contaminated suture material plays an important role in the physiopathology of surgical site infections. Recently, suture material has been developed characterized by barbs projecting from a monofilament base. Claimed advantages for barbed sutures are a shortened wound closure time and reduced maximum wound tension. It has also been suggested that these sutures would be advantageous microbiologically. The aim of this study was to test the microbiological characteristics of the barbed Quill in comparison to the monofilament Ethilon II and the braided sutures Vicryl and triclosan-coated Vicryl Plus. In our study, sutures were cultivated on color-change agar with Staphylococcus aureus, Staphylococcus epidermidis, Enterococcus faecium, Escherichia coli, and Pseudomonas aeruginosa and the halo size was measured. In a second study arm with longer cultivation bacterial growth was followed by antibiotic treatment. Ethilon II and Quill showed good comparable results, whereas large halos were found around Vicryl. Vicryl Plus results depended on triclosan sensitivity. After longer bacterial cultivation and antibiotic treatment, halos were up to 3.6 times smaller on Quill than on Vicryl (P <.001), but 1.4 times larger than on Ethilon II (P <.001) regarding S. aureus. Confocal microscopy analysis showed bacterial colonization between the braided filaments on Vicryl and beneath the barbs on Quill. From a microbiological perspective, barbed sutures can be recommended in aseptic surgery, but should only be used carefully in septic surgery. This article is protected by copyright. All rights reserved.
Institute of Scientific and Technical Information of China (English)
Yong-jun LU; Zhao-yin WANG; Li-qin ZUO; Li-jun ZHU
2005-01-01
The characteristics of water flow and sediment transport in a typical meandering and island-braided reach of the middle Yangtze River is investigated using a two-dimensional (2D)mathematical model. The major problems studied in the paper include the carrying capacity for suspended load, the incipient velocity and transport formula of non-uniform sediment, the thickness of the mixed layer on the riverbed, and the partitioning of bed load and suspended load. The model parameters are calibrated using extensive field data. Water surface profiles, distribution of flow velocities, riverbed deformation are verified with site measurements. The model is applied to a meandering and island-braided section of the Wakouzi-Majiazui reach in the middle Yangtze River,which is about 200 km downstream from the Three Gorges Dam, to study the training scheme of the navigation channels. The model predicts the processes of sediment deposition and river bed erosion,changes of flow stage and navigation conditions for the first 20 years of impoundment of the Three Gorges Project.
Institute of Scientific and Technical Information of China (English)
QU Zhaoming; WANG Qingguo; LEI Yisan; ZHANG Ruigang
2013-01-01
To develop electromagnetic protection composites with integrated structure-function properties,the three-dimension (3D) braided nickel plated carbon fiber/epoxy resin (Ni-CF3D/EP) composites were prepared based on 3D five-directional braiding,unitary nickel plating and mold compression shaping.The electromagnetic protection properties of Ni-CF3D/EP composites including shielding effectiveness (SE) and reflection loss against plane electromagnetic wave,shielding properties against electromagnetic pulse (EMP) were investigated.The test results show that the novel composites have good electromagnetic protection properties in a wide frequency range of 14 kHz～ 18 GHz with SE of 42 dB～95 dB,the absorption bandwidth of-5 dB in 2 GHz～ 18 GHz can reach 10 GHz and the pulse peak SE against EMP is 43.7 dB which can reduce the electromagnetic energy greatly.Meanwhile,the mechanic properties were also investigated and the results indicate that the Ni-CF3D/EP composites can replace metal materials for loading-bearing structural applications because of their excellent mechanic properties.
Glazoff, Michael V.; Hiromoto, Robert; Tokuhiro, Akira
2014-08-01
In the after-Fukushima world, the stability of materials under extreme conditions is an important issue for the safety of nuclear reactors. Among the methods explored currently to improve zircaloys’ thermal stability in off-normal conditions, using a protective coat of the SiC filaments is considered because silicon carbide is well known for its remarkable chemical inertness at high temperatures. A typical SiC fiber contains ∼50,000 individual filaments of 5-10 μm in diameter. In this paper, an effort was made to develop and apply mathematical morphology to the process of automatic defect identification in Zircaloy-4 rods braided with the protective layer of the silicon carbide filament. However, the issues of the braiding quality have to be addressed to ensure its full protective potential. We present the original mathematical morphology algorithms that allow solving this problem of quality assurance successfully. In nuclear industry, such algorithms are used for the first time, and could be easily generalized to the case of automated continuous monitoring for defect identification in the future.
Foek, Dave Lie Sam; Yetkiner, Enver; Ozcan, Mutlu
2013-01-01
Objective: To analyze the fatigue resistance, debonding force, and failure type of fiber-reinforced composite, polyethylene ribbon-reinforced, and braided stainless steel wire lingual retainers in vitro. Methods: Roots of human mandibular central incisors were covered with silicone, mimicking the pe
Energy Technology Data Exchange (ETDEWEB)
Janke, Christopher James [ORNL; Das, Sadananda [ORNL; Oyola, Yatsandra [ORNL; Mayes, Richard T [ORNL; Gill, Gary [Pacific Northwest National Laboratory (PNNL); Kuo, Li-Jung [Pacific Northwest National Laboratory (PNNL); Wood, Jordana [Pacific Northwest National Laboratory (PNNL)
2015-01-01
This report describes work on the successful completion of Milestone M2FT-15OR0310041 (1/30/2015) entitled, Demonstrate braided material with 3.5 g U/kg sorption capacity under seawater testing condition . This effort is part of the Seawater Uranium Recovery Program, sponsored by the U.S. Department of Energy, Office of Nuclear Energy, and involved the development of new adsorbent braided materials at the Oak Ridge National Laboratory (ORNL) and marine testing at the Pacific Northwest National Laboratory (PNNL). ORNL has recently developed four braided fiber adsorbents that have demonstrated uranium adsorption capacities greater than 3.5 g U/kg adsorbent after marine testing at PNNL. The braided adsorbents were synthesized by braiding or leno weaving high surface area polyethylene fibers and conducting radiation-induced graft polymerization of itaconic acid and acrylonitrile monomers onto the braided materials followed by amidoximation and base conditioning. The four braided adsorbents demonstrated capacity values ranging from 3.7 to 4.2 g U/kg adsorbent after 56 days of exposure in natural coastal seawater at 20 oC. All data are normalized to a salinity of 35 psu.
Goyal, Deepak
Textile composites have a wide variety of applications in the aerospace, sports, automobile, marine and medical industries. Due to the availability of a variety of textile architectures and numerous parameters associated with each, optimal design through extensive experimental testing is not practical. Predictive tools are needed to perform virtual experiments of various options. The focus of this research is to develop a better understanding of linear elastic response, plasticity and material damage induced nonlinear behavior and mechanics of load flow in textile composites. Textile composites exhibit multiple scales of complexity. The various textile behaviors are analyzed using a two-scale finite element modeling. A framework to allow use of a wide variety of damage initiation and growth models is proposed. Plasticity induced non-linear behavior of 2x2 braided composites is investigated using a modeling approach based on Hill's yield function for orthotropic materials. The mechanics of load flow in textile composites is demonstrated using special non-standard postprocessing techniques that not only highlight the important details, but also transform the extensive amount of output data into comprehensible modes of behavior. The investigations show that the damage models differ from each other in terms of amount of degradation as well as the properties to be degraded under a particular failure mode. When compared with experimental data, predictions of some models match well for glass/epoxy composite whereas other's match well for carbon/epoxy composites. However, all the models predicted very similar response when damage factors were made similar, which shows that the magnitude of damage factors are very important. Full 3D as well as equivalent tape laminate predictions lie within the range of the experimental data for a wide variety of braided composites with different material systems, which validated the plasticity analysis. Conclusions about the effect of
Sorini, Chris; Chattopadhyay, Aditi; Goldberg, Robert K.; Kohlman, Lee W.
2016-01-01
Understanding the high velocity impact response of polymer matrix composites with complex architectures is critical to many aerospace applications, including engine fan blade containment systems where the structure must be able to completely contain fan blades in the event of a blade-out. Despite the benefits offered by these materials, the complex nature of textile composites presents a significant challenge for the prediction of deformation and damage under both quasi-static and impact loading conditions. The relatively large mesoscale repeating unit cell (in comparison to the size of structural components) causes the material to behave like a structure rather than a homogeneous material. Impact experiments conducted at NASA Glenn Research Center have shown the damage patterns to be a function of the underlying material architecture. Traditional computational techniques that involve modeling these materials using smeared homogeneous, orthotropic material properties at the macroscale result in simulated damage patterns that are a function of the structural geometry, but not the material architecture. In order to preserve heterogeneity at the highest length scale in a robust yet computationally efficient manner, and capture the architecturally dependent damage patterns, a previously-developed subcell modeling approach where the braided composite unit cell is approximated as a series of four adjacent laminated composites is utilized. This work discusses the implementation of the subcell methodology into the commercial transient dynamic finite element code LS-DYNA (Livermore Software Technology Corp.). Verification and validation studies are also presented, including simulation of the tensile response of straight-sided and notched quasi-static coupons composed of a T700/PR520 triaxially braided [0deg/60deg/-60deg] composite. Based on the results of the verification and validation studies, advantages and limitations of the methodology as well as plans for future work
Energy Technology Data Exchange (ETDEWEB)
Gill, Gary A. [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.; Kuo, Li-Jung [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.; Strivens, Jonathan E. [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.; Park, Jiyeon [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.; Bonheyo, George T. [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.; Jeters, Robert T. [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.; Schlafer, Nicholas J. [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.; Wood, Jordana R. [Pacific Northwest National Lab. (PNNL), Sequim, WA (United States). Marine Sciences Lab.
2015-08-31
PNNL has developed a recirculating flume system for exposing braided adsorbent material to natural seawater under realistic temperature and flow-rate exposure conditions. The flumes are constructed of transparent acrylic material they allow external light to pass into the flumes and permit photosynthetic growth of naturally present marine organisms (biofouling). Because the system consists of two flumes, replicate experiments can be conducted in which one of the flumes can be manipulated relative to the other. For example, one flume can be darkened to eliminate light exposure by placing a black tarp over the flume such that dark/light experiments can be conducted. Alternatively, two different braided adsorbents can be exposed simultaneously with no potential cross contamination issues. This report describes the first use of the PNNL flume system to study the impact of biofouling on adsorbent capacity. Experiments were conducted with the ORNL AI8 braided adsorbent material in light exposed and darkened flumes for a 42 day exposure experiment. The major objective of this effort is to develop a system for the exposure of braided adsorbent material to unfiltered seawater and to demonstrate the system by evaluating the performance of adsorption material when it is exposed to natural marine biofouling as it would be when the technology is used in the marine environment. Exposures of amidoxime-based polymeric braid adsorbents prepared by Oak Ridge Natural Laboratory (ORNL) were exposed to ambient seawater at 20°C in a flume system. Adsorption kinetics and adsorption capacity were assessed using time series determinations of uranium adsorption and one-site ligand saturation modeling. Biofouling in sunlight surface seawater has the potential to significantly add substantial biogenic mass to adsorption material when it is exposed for periods greater than 21 days. The observed biomass increase in the light flume was approximately 80 % of the adsorbent mass after 42 days. The
Nakamachi, Eiji; Uchida, Takahiro; Kuramae, Hiroyuki; Morita, Yusuke
2014-08-01
In this study, we developed a multi-scale finite element (FE) analysis code to obtain the stress and strain that occurred in the smooth muscle cell (SMC) at micro-scale, which was seeded in the real fabricated braid fibril artificial blood vessel. This FE code can predict the dynamic response of stress under the blood pressure loading. We try to establish a computer-aided engineering (CAE)-driven scaffold design technique for the blood vessel regeneration. Until now, there occurred the great progresses for the endothelial cell activation and intima layer regeneration in the blood vessel regeneration study. However, there remains the difficulty of the SMC activation and media layer regeneration. Therefore, many researchers are now studying to elucidate the fundamental mechanism of SMC activation and media layer regeneration by using the biomechanical technique. As the numerical tool, we used the dynamic-explicit FE code PAM-CRASH, ESI Ltd. For the material models, the nonlinear viscoelastic constitutive law was adapted for the human blood vessel, SMC and the extra-cellular matrix, and the elastic law for the polyglycolic acid (PGA) fiber. Through macro-FE and micro-FE analyses of fabricated braid fibril tubes by using PGA fiber under the combined conditions of the orientation angle and the pitch of fiber, we searched an appropriate structure for the stress stimulation for SMC functionalization. Objectives of this study are indicated as follows: 1. to analyze the stress and strain of the human blood vessel and SMC, and 2. to calculate stress and strain of the real fabricated braid fibril artificial blood vessel and SMC to search an appropriate PGA fiber structure under combined conditions of PGA fiber numbers, 12 and 24, and the helical orientation angles of fiber, 15, 30, 45, 60, and 75 degrees. Finally, we found a braid fibril tube, which has an angle of 15 degree and 12 PGA fibers, as a most appropriate artificial blood vessel for SMC functionalization.
De Vincenzo, Annamaria; Brancati, Francesco; Pannone, Marilena
2016-08-01
Laboratory experiments were performed with nearly uniform fluvial gravel (D50=9 mm, D10=5 mm and D90=13 mm) to analyse the relationship between stream power and bed load transport rate in gravel-bed braided rivers at high grain Reynolds numbers. The values of the unit-width dimensionless bed-load rate qb* and unit-width dimensionless stream power ω* were evaluated in equilibrium conditions based on ten different experimental runs. Then, they were plotted along with values obtained during particularly representative field studies documented in the literature, and a regression law was derived. For comparison, a regression analysis was performed using the data obtained from laboratory experiments characterized by smaller grain sizes and, therefore, referring to relatively low grain Reynolds numbers. A numerical integration of Exner's equation was performed to reconstruct the local and time-dependent functional dependence of qb* and ω*. The results led to the following conclusions: 1) At equilibrium, the reach-averaged bed load transport rate is related to the reach-averaged stream power by different regression laws at high and low grain Reynolds numbers. Additionally, the transition from bed to suspended load transport is accelerated by low Re*, with the corresponding bed load discharge increasing with stream power at a lower, linear rate. 2) When tested against the gravel laboratory measurements, the high Re* power law derived in the present study performs considerably better than do previous formulas. 3) The longitudinal variability of the section-averaged equilibrium stream power is much more pronounced than that characterizing the bed load rate, at least for high Re*. Thus, the stream power and its local-scale heterogeneity seem to be directly responsible for transverse sediment re-distribution and, ultimately, for the determination of the spatial and temporal scales that characterize the gravel bedforms. 4) Finally, the stochastic interpretation of the wetted
Zhang, Chao; Xu, Xiwu; Chen, Kang
2013-10-01
As new lightweight textile material, 3D five directional and full five directional braided composites (5DBC and F5DBC) have tremendous potential applications in the aerospace industry. Before they are used in primary loading-bearing structures, a rational characterization of their mechanical properties is essential. In this paper, three types of unit-cell models corresponding to the interior, surface and corner regions of 5DBC and F5DBC are proposed. By introducing the reasonable boundary conditions, the effective stiffness properties of these two materials are predicted and compared by the three unit-cells models. The detailed mechanical response characteristic of the three unit-cell models is presented and analyzed in various loading cases. Numerical results show good agreement with experiment data, thus validates the proposed simulation method. Moreover, a parametric study is carried out for analyzing the effects of braiding angle and fiber volume fraction on the elastic properties of 5DBC and F5DBC. The obtained results can help designers to optimize the braided composite structures.
Ioana-Toroimac, Gabriela
2016-07-01
The inventory of long-term braiding activity is a useful tool for detecting alterations in a rivers' hydromorphological state and for a river's management in the context of the Water Framework Directive on integrated river basin management for Europe. Our study focuses on braided sectors of rivers in South-Eastern Subcarpathians (Romania). The inventory evaluates types of alterations based on the spatial analysis of fluvial morphology indicators (i.e., length of the river sector forming a braided pattern; width of the braided active channel), and vegetation cover (i.e., length of banks covered by forest and shrubs; area of in-stream patches of shrubs) accumulated over the last century. Furthermore, we performed a regional scale hierarchical cluster analysis to estimate the degree of alteration when compared to an historical baseline. In South-Eastern Subcarpathians, the studied rivers experienced a decrease of braiding activity revealed by the shortening and narrowing of their braided sectors, expansion of riparian forests, and the diminishment of vegetated islands' areas. We separated three types of river clusters, corresponding to low (cluster 1), moderate (cluster 2), and high (cluster 3) degree of alteration. Moreover, the clusters demonstrate the evolutionary path of the braided pattern alterations until the functioning of another channel pattern. The inventory is relevant for differing types and levels of alterations. Additionally, this tool may serve as a first step toward the restoration of altered sectors by identifying rivers in cluster 1 as potential candidates of present-day reference sites for altered rivers with similar natural conditions as in cluster 3.
Gleason, C. J.; Smith, L. C.; Finnegan, D. C.; LeWinter, A. L.; Pitcher, L. H.; Chu, V. W.
2015-06-01
River systems in remote environments are often challenging to monitor and understand where traditional gauging apparatus are difficult to install or where safety concerns prohibit field measurements. In such cases, remote sensing, especially terrestrial time-lapse imaging platforms, offer a means to better understand these fluvial systems. One such environment is found at the proglacial Isortoq River in southwestern Greenland, a river with a constantly shifting floodplain and remote Arctic location that make gauging and in situ measurements all but impossible. In order to derive relevant hydraulic parameters for this river, two true color (RGB) cameras were installed in July 2011, and these cameras collected over 10 000 half hourly time-lapse images of the river by September of 2012. Existing approaches for extracting hydraulic parameters from RGB imagery require manual or supervised classification of images into water and non-water areas, a task that was impractical for the volume of data in this study. As such, automated image filters were developed that removed images with environmental obstacles (e.g., shadows, sun glint, snow) from the processing stream. Further image filtering was accomplished via a novel automated histogram similarity filtering process. This similarity filtering allowed successful (mean accuracy 79.6 %) supervised classification of filtered images from training data collected from just 10 % of those images. Effective width, a hydraulic parameter highly correlated with discharge in braided rivers, was extracted from these classified images, producing a hydrograph proxy for the Isortoq River between 2011 and 2012. This hydrograph proxy shows agreement with historic flooding observed in other parts of Greenland in July 2012 and offers promise that the imaging platform and processing methodology presented here will be useful for future monitoring studies of remote rivers.
辫子群混合加密下的按需装配Agent系统%Assemble-on-demand Agent based on braid group-mixed
Institute of Scientific and Technical Information of China (English)
白凤伟; 哈立原; 张岩
2013-01-01
量子计算机技术的进步，使传统公钥密码系统受到了巨大的威胁，特别对基于传统公钥加密的应用系统带来不可估量的损失。与此同时，辫子群公钥密码算法的提出，有效地防止了量子技术对公钥密码的破译而且可以抵抗已知的各种攻击。在研究辫子群密码算法和传统公钥算法、按需装配 Agent 的概念和系统模型特点的基础上，提出了一种辫子群混合加密方法并有效地应用到按需装配 Agent 的系统中，从而大大提高了 Agent 系统的安全性。%With the development of quantum computer technology , traditional public key cryptography is seriously threatened , particularly tremendous losses are caused of application system based on traditional public key encryption . At the same time , the proposed of the algorithm of braid-based public key cryptography avoid quantum technology to decipher the public key cryptography and resist various of known attack . A method of braid group-mixed encryption is proposed based on researching braid group cryp-tography , traditional public key cryptography and the notional and system model ’ s characteristic of assemble-on-demand Agent and applied to assemble-on-demand Agent effectively , so the security of assemble-on-demand Agent is improved greatly .
Hufenbach, W.; Gude, M.; Czulak, A.; Kretschmann, Martin
2014-04-01
Increasing economic, political and ecological pressure leads to steadily rising percentage of modern processing and manufacturing processes for fibre reinforced polymers in industrial batch production. Component weights beneath a level achievable by classic construction materials, which lead to a reduced energy and cost balance during product lifetime, justify the higher fabrication costs. However, complex quality control and failure prediction slow down the substitution by composite materials. High-resolution fibre-optic sensors (FOS), due their low diameter, high measuring point density and simple handling, show a high applicability potential for an automated sensor-integration in manufacturing processes, and therefore the online monitoring of composite products manufactured in industrial scale. Integrated sensors can be used to monitor manufacturing processes, part tests as well as the component structure during product life cycle, which simplifies allows quality control during production and the optimization of single manufacturing processes.[1;2] Furthermore, detailed failure analyses lead to a enhanced understanding of failure processes appearing in composite materials. This leads to a lower wastrel number and products of a higher value and longer product life cycle, whereby costs, material and energy are saved. This work shows an automation approach for FOS-integration in the braiding process. For that purpose a braiding wheel has been supplemented with an appliance for automatic sensor application, which has been used to manufacture preforms of high-pressure composite vessels with FOS-networks integrated between the fibre layers. All following manufacturing processes (vacuum infiltration, curing) and component tests (quasi-static pressure test, programmed delamination) were monitored with the help of the integrated sensor networks. Keywords: SHM, high-pressure composite vessel, braiding, automated sensor integration, pressure test, quality control, optic
Williams, R. D.; Rennie, C. D.; Brasington, J.; Hicks, D. M.; Vericat, D.
2015-03-01
This paper provides novel observations linking the connections between spatially distributed bed load transport pathways, hydraulic patterns, and morphological change in a shallow, gravel bed braided river. These observations shed light on the mechanics of braiding processes and illustrate the potential to quantify coupled material fluxes using remotely sensed methods. The paper focuses upon a 300 m long segment of the Rees River, New Zealand, and utilizes spatially dense observations from a mobile acoustic Doppler current profiler (aDcp) to map depth, velocity, and channel topography through a sequence of high-flow events. Apparent bed load velocity is estimated from the bias in aDcp bottom tracking and mapped to indicate bed load transport pathways. Terrestrial laser scanning (TLS) of exposed bar surfaces is fused with the aDcp surveys to generate spatially continuous digital elevation models, which quantify morphological change through the sequence of events. Results map spatially distributed bed load pathways that were likely to link zones of erosion and deposition. The coherence between the channel thalweg, zone of maximum hydraulic forcing, and maximum apparent bed load pathways varied. This suggests that, in places, local sediment supply sources exerted a strong control on the distribution of bed load, distinct from hydraulic forcing. The principal braiding mechanisms observed were channel choking, leading to subsequent bifurcation. Results show the connection between sediment sources, pathways, and sinks and their influence on channel morphology and flow path directions. The methodology of coupling spatially dense aDcp surveys with TLS has considerable potential to understand connections between processes and morphological change in dynamic fluvial settings.
Vázquez Tarrío, Daniel; Borgniet, Laurent; Recking, Alain; Liebault, Frédéric; Vivier, Marie
2016-04-01
The present research is focused on the Vénéon river at Plan du Lac (Massif des Ecrins, France), an alpine braided gravel bed stream with a glacio-nival hydrological regime. It drains a catchment area of 316 km2. The present research is focused in a 2.5 km braided reach placed immediately upstream of a small hydropower dam. An airbone LIDAR survey was accomplished in October, 2014 by EDF (the company managing the small hydropower dam), and data coming from this LIDAR survey were available for the present research. Point density of the LIDAR-derived 3D-point cloud was between 20-50 points/m2, with a vertical precision of 2-3 cm over flat surfaces. Moreover, between April and Juin, 2015, we carried out a photogrammetrical campaign based in aerial images taken with an UAV-drone. The UAV-derived point-cloud has a point density of 200-300 points/m2, and a vertical precision over flat control surfaces comparable to that of the LIDAR point cloud (2-3 cm). Simultaneously to the UAV campaign, we took several Wolman samples with the aim of characterizing the grain size distribution of bed sediment. Wolman samples were taken following a geomorphological criterion (unit bars, head/tail of compound bars). Furthermore, some of the Wolman samples were repeated with the aim of defining the uncertainty of our sampling protocol. LIDAR and UAV-derived point clouds were treated in order to check whether both point-clouds were correctly co-aligned. After that, we estimated bed roughness using the detrended standard deviation of heights, in a 40-cm window. For all this data treatment we used CloudCompare. Then, we measured the distribution of roughness in the same geomorphological units where we took the Wolman samples, and we compared with the grain size distributions measured in the field: differences between UAV-point cloud roughness distributions and measured-grain size distribution (~1-2 cm) are in the same order of magnitude of the differences found between the repeated Wolman
辫群上的扭结共轭搜索问题和密码体制研究%Research on Twisted Conjugacy Search Problem and Cryptosystems on Braid Group
Institute of Scientific and Technical Information of China (English)
程玉芳; 王晓峰
2012-01-01
By analyzing the properties of braid group and some decision problems on braid group, this paper proposes a protocol by applying twisted conjugacy search problem, subgroup membership decision problem and root search problem on to specific subgroups of braid groups where the subgroups enjoy unsolvable word problem. Security analysis shows that the protocol can resist length attack, key-only attack, chosen message attack and chosenplaintext attack and so on.%通过分析辫群的相关性质及群上的判定问题,结合扭结共轭问题、子群成员判断问题及根搜索问题,提出一种辫群上的公钥加密协议和签名协议,对两者的安全性进行分析,证明敌手无法从公钥中恢复密钥,因此协议可以抵抗长度攻击、惟密钥攻击、一般选择消息攻击、定向选择消息攻击和适应性选择消息攻击.
Luo, Sida; Wang, Yong; Wang, Guantao; Wang, Kan; Wang, Zhibin; Zhang, Chuck; Wang, Ben; Luo, Yun; Li, Liuhe; Liu, Tao
2017-03-01
The next-generation of hierarchical composites needs to have built-in functionality to continually monitor and diagnose their own health states. This paper includes a novel strategy for in-situ monitoring the processing stages of composites by co-braiding CNT-enabled fiber sensors into the reinforcing fiber fabrics. This would present a tremendous improvement over the present methods that excessively focus on detecting mechanical deformations and cracks. The CNT enabled smart fabrics, fabricated by a cost-effective and scalable method, are highly sensitive to monitor and quantify various events of composite processing including resin infusion, onset of crosslinking, gel time, degree and rate of curing. By varying curing temperature and resin formulation, the clear trends derived from the systematic study confirm the reliability and accuracy of the method, which is further verified by rheological and DSC tests. More importantly, upon wisely configuring the smart fabrics with a scalable sensor network, localized processing information of composites can be achieved in real time. In addition, the smart fabrics that are readily and non-invasively integrated into composites can provide life-long structural health monitoring of the composites, including detection of deformations and cracks.
Chakrabarti, A.
2005-06-01
Various properties of a class of braid matrices, presented before, are studied considering N2×N2(N=3,4,…) vector representations for two subclasses. For q =1 the matrices are nontrivial. Triangularity (R̂2=I) corresponds to polynomial equations for q, the solutions ranging from roots of unity to hyperelliptic functions. The algebras of L operators are studied. As a crucial feature one obtains 2N central, grouplike, homogenous quadratic functions of Lij constrained to equality among themselves by the RLL equations. They are studied in detail for N =3 and are proportional to I for the fundamental 3×3 representation and hence for all iterated coproducts. The implications are analyzed through a detailed study of the 9×9 representation for N =3. The Turaev construction for link invariants is adapted to our class. A skein relation is obtained. Noncommutative spaces associated to our class of R̂ are constructed. The transfer matrix map is implemented, with the N =3 case as example, for an iterated construction of noncommutative coordinates starting from an (N-1) dimensional commutative base space. Further possibilities, such as multistate statistical models, are indicated.
Transmission Shaft Reinforced by 3-D Braid with Bladder/VARTM%气囊/VARTM工艺成型三维复合材料传动轴
Institute of Scientific and Technical Information of China (English)
蔡浩鹏; 王钧; 杨小利
2009-01-01
The transmission shaft's shape is complicated and its reinforced fiber is 3-D braid. It is unable to be fabricated by traditional VARTM. So the mould design, which used bladder instead of a metal mandrel, is introduced. The property experiment on the integrally fabricated transmission shaft shows that compared with traditional VARTM, the bladder/VARTM process improves the fiber volume fraction by squeezing the resin out through an inflated expansion of bladder. As result the mechanical properties of the composites are improved.%复合材料传动轴增强材料采用三维玻璃纤维编织物,其壁厚较厚且内部形状复杂,无法通过VARTM工艺一次整体成型,提出利用气囊代替刚性芯模结合VARTM工艺制造.设计了该产品的成型模具,并对其成型工艺进行了较详细的分析和研究.对整体制备出的复合材料传动轴的性能测试表明,与VARTM工艺相比,气囊/真空辅助RTM工艺能通过气囊膨胀的挤胶作用,降低制品的胶含量和孔隙率,提高制品的力学性能.
Frost, M.; Sedlák, P.; Kruisová, A.; Landa, M.
2014-07-01
Self-expanding stents or stentgrafts made from Nitinol superelastic alloy are widely used for a less invasive treatment of disease-induced localized flow constriction in the cardiovascular system. The therapy is based on insertion of a stent into a blood vessel to maintain the inner diameter of the vessel; it provides highly effective results at minimal cost and with reduced hospital stays. However, since stent is an external mechanical healing tool implemented into human body for quite a long time, information on the mechanical performance of it is of fundamental importance with respect to patient's safety and comfort. Advantageously, computational structural analysis can provide valuable information on the response of the product in an environment where in vivo experimentation is extremely expensive or impossible. With this motivation, a numerical model of a particular braided self-expanding stent was developed. As a reasonable approximation substantially reducing computational demands, the stent was considered to be composed of a set of helical springs with specific constrains reflecting geometry of the structure. An advanced constitutive model for NiTi-based shape memory alloys including R-phase transition was employed in analysis. Comparison to measurements shows a very good match between the numerical solution and experimental results. Relation between diameter of the stent and uniform radial pressure on its surface is estimated. Information about internal phase and stress state of the material during compression loading provided by the model is used to estimate fatigue properties of the stent during cyclic loading.
Luo, Sida; Wang, Yong; Wang, Guantao; Wang, Kan; Wang, Zhibin; Zhang, Chuck; Wang, Ben; Luo, Yun; Li, Liuhe; Liu, Tao
2017-01-01
The next-generation of hierarchical composites needs to have built-in functionality to continually monitor and diagnose their own health states. This paper includes a novel strategy for in-situ monitoring the processing stages of composites by co-braiding CNT-enabled fiber sensors into the reinforcing fiber fabrics. This would present a tremendous improvement over the present methods that excessively focus on detecting mechanical deformations and cracks. The CNT enabled smart fabrics, fabricated by a cost-effective and scalable method, are highly sensitive to monitor and quantify various events of composite processing including resin infusion, onset of crosslinking, gel time, degree and rate of curing. By varying curing temperature and resin formulation, the clear trends derived from the systematic study confirm the reliability and accuracy of the method, which is further verified by rheological and DSC tests. More importantly, upon wisely configuring the smart fabrics with a scalable sensor network, localized processing information of composites can be achieved in real time. In addition, the smart fabrics that are readily and non-invasively integrated into composites can provide life-long structural health monitoring of the composites, including detection of deformations and cracks. PMID:28272436
Brasington, J.; Hicks, M.; Wheaton, J. M.; Williams, R. D.; Vericat, D.
2013-12-01
Repeat surveys of channel morphology provide a means to quantify fluvial sediment storage and enable inferences about changes in long-term sediment supply, watershed delivery and bed level adjustment; information vital to support effective river and land management. Over shorter time-scales, direct differencing of fluvial terrain models may also offer a route to predict reach-averaged sediment transport rates and quantify the patterns of channel morphodynamics and the processes that force them. Recent and rapid advances in geomatics have facilitated these goals by enabling the acquisition of topographic data at spatial resolutions and precisions suitable for characterising river morphology at the scale of individual grains over multi-kilometre reaches. Despite improvements in topographic surveying, inverting the terms of the sediment budget to derive estimates of sediment transport and link these to morphodynamic processes is, nonetheless, often confounded by limited knowledge of either the sediment supply or efflux across a boundary of the control volume, or unobserved cut-and-fill taking place between surveys. This latter problem is particularly poorly constrained, as field logistics frequently preclude surveys at a temporal frequency sufficient to capture changes in sediment storage associated with each competent event, let alone changes during individual floods. In this paper, we attempt to quantify the principal sources of uncertainty in morphologically-derived bedload transport rates for the large, labile, gravel-bed braided Rees River which drains the Southern Alps of NZ. During the austral summer of 2009-10, a unique timeseries of 10 high quality DEMs was derived for a 3 x 0.7 km reach of the Rees, using a combination of mobile terrestrial laser scanning, aDcp soundings and aerial image analysis. Complementary measurements of the forcing flood discharges and estimates of event-based particle step lengths were also acquired during the field campaign
Institute of Scientific and Technical Information of China (English)
Dongdong Jia; Xuejun Shao; Xingnong Zhang; Yongjun Lu; Pengfei Hei
2016-01-01
Lateral migration is an important form of morphological changes on the Middle Yangtze River (MYR), particularly for the lower Jingjiang reach. The Three Gorges Reservoir (TGR) has substantially reduced sediment supply to the downstream river channels since its impoundment in June 2003. The scientific understanding of how decrease of sediment influences the processes of bank erosion and channel adjustments is complex and limited. In the present paper, the morphological responses in a typical meandering and island-braided river segment of the MYR to the filling of the TGR were investigated by a 3-D morphodynamic model. The potential of the 3-D model has been demonstrated by the observed data. The morphological evolutions in the Shishou bend during the first 12 years of the TGR impound-ment were predicted. The effects of the TGR operation on the planform evolutions in the study reach were analyzed based on the simulated results. Sediment load is decreased by 75%due to the early filling of the TGR. The magnitude of bed degradation with less sediment load due to the TGR operation is increased compared with the pre-dam situation. Qualitatively, the overall planform evolution trends in the Shishou bend after the TGR operation are similar to that without the TGR operation. The magnitude of lateral migration has been increased in some part of the channel bend, where the morphological response of the TGR operation exhibits more lateral migration rather than vertical degradation. Scouring at the bank toe enhances bank failure. Decrease of sediment load and weak bank anti-scour ability as well as the significant helical flow can be responsible for intensified bank erosion in the channel bend.
Institute of Scientific and Technical Information of China (English)
胡雯; 黄争鸣
2009-01-01
PU nanofibers were fabricated by means of electrospinning and were collected undirectionally using a rotating disk. The relationship between a rotating speed and fiber alignment was studied. The collected fiber bundles were post processing treated using the techniques such as heating, stretching, twisting, and preforming, before they were made into a braided wire. Optimal post processing parameters were obtained in order to achieve the highest mechanical properties for the fiber bundles. It was shown that the braided wires had a much better mechanical performance than that of the unidirectionally collected fiber bundles before the post treatments, and even better than that after the treatments. This high mechanical behavior implies that the braided wires based on aligned electrospun nanofibers will have potential applications in textile and biomedical fields.%采用静电纺丝法制备出了纳米级、亚微米级纤维,采用尖角圆盘收集成具有定向排列的单向纤维束,考察了圆盘转速对纤维定向性的影响.为提高纤维的强度和模量,对收集到的纤维束进行了热处理、拉伸、加捻、定型等后处理工艺,再将多股定型的纤维束编织成线.研究了上述工艺参数对纤维束力学性能的影响,选取最佳工艺参数编织纤维束,并研究了编织线的力学性能.良好的性能预示其在纺织、生物医学等领域具有潜在的应用前景.
Nechaev, S
2003-01-01
We investigate the statistical properties of random walks on the simplest nontrivial braid group B sub 3 , and on related hyperbolic groups. We provide a method using Cayley graphs of groups allowing us to compute explicitly the probability distribution of the basic statistical characteristics of random trajectories - the drift and the return probability. The action of the groups under consideration in the hyperbolic plane is investigated, and the distribution of a geometric invariant - the hyperbolic distance - is analysed. It is shown that a random walk on B sub 3 can be viewed as a 'magnetic random walk' on the group PSL(2, Z).
Institute of Scientific and Technical Information of China (English)
周爱忠; 张禹; 郁岳峰; 张勋
2013-01-01
聚乙烯编织网线比普通聚乙烯捻线强度高,用编织线来替代目前的普通捻线,可降低拖网渔具的阻力从而达到节能降耗的目的.本文通过实际取样测试,比较了两种网线的拉伸性能,在不降低原拖网渔具的单线结强力的前提下,用聚乙烯编织线代替原普通捻线,并通过模型试验研究其对拖网渔具性能的影响和节能效果.结果表明:单线结强力相同的两种网线,编织线的直径可比普通网线的直径下降15.17％以上.本试验编织线拖网的平均网线直径比原普通捻线拖网下降16.00％,网具阻力面积(线面积)从304.57 m2下降到256.47 m2,下降了15.79％.同等试验条件下,编织线拖网的阻力比普通捻线拖网下降17.25％左右,而网口高度的变化则不明显.能耗系数的计算结果为编织线拖网过滤同体积的水体所消耗的能量比普通捻线拖网下降16.67％.功率消耗的分析表明,消耗同样的功率,440 kW的双拖渔船使用编织线拖网,拖速可比普通捻线拖网提高8.33％,如采用和普通捻线拖网同样的拖速作业,则去掉起、放网所消耗的时间,以一天正常拖网作业18 h计算,可节约燃油77 L左右.%Polyethylene is the most widely used net material in fishing trawls, and the strength of braided polyethylene netting twine is better than common polyethylene twisting. Using braided polyethylene netting twine to replace the current common polyethylene twisting can reduce the resistance of the trawl fishing gear, achieving the purpose of energy saving. This study compared the tensile mechanical properties of the two netting twines, and used braided polyethylene netting twine to replace the current common polyethylene twisting without reducing the knot strength, and trawl fishing gear performance and energy-saving effects were tested in flume tank. The results showed that: with the same knot strength, the diameter of braided polyethylene netting twine decreased
Kidová, Anna; Lehotský, Milan
2014-05-01
Throughout the Europe, reductions in the extent of braided river reaches have occurred since the end of the 19th century and throughout the 20th century. This is a particular study priority of present braided rivers, because they are unique natural entities and rich ecosystems. Understanding the temporal and spatial connectivity that has characterised braidplain and channel behaviour will give crucial information about the evolution and management decisions of this type of rivers. The aim of the contribution is to understand how the spatial connectivity has developed on the Belá River (23.6 km, average annual discharge 6.8 m3 s-1 at mouth, Strahler ord. 5, as a laterally unconfined, gravel-bed river with braided-wandering pattern situated in the North of Slovakia); evaluate how time-spatial linkages of channel and floodplain landforms have been affected by recent large flood events and local factors. Four geomorphological coupling levels of the structural connectivity for seven time periods, using aerial photography (1949-2009) have been investigated: i. valley slope/low terraces-braidplain; ii. channel-channel level; iii. channel-bank level; iiii. bar-channel bed level. Each time horizon has been selected to be representative for estimation linkages changes after large flood event. The development of geomorphological structural connectivity is examined by documenting sequential changes in braidplain width, channel planform (braided and wandering indices), bar and bank attached erosion/accretion areas as parameters reflecting four types of connectivity. The changes in the structural connectivity is expressed in the three-point ordinal scale (1. increasing; 2. unchanging; 3. decreasing) as well as in the map expression of river reaches zonation. Generally, the width of braidplain with decreasing trend refers to long term decoupling valley slope/terraces-braidplain linkages. This trend is prove also by decreasing of the braidplain area. The values of braided indices
Institute of Scientific and Technical Information of China (English)
马小菲; 张国利; 朱有欣; 陈光伟
2014-01-01
Quasi-static axial compression and three point bending tests are performed to study the compression and flexural performance of glass/kevlar hybrid composite pipe. The effect of braiding angle and fiber hybrid ratio on the compression and flexural performance of composite pipe are investigated and the fracture features are also analyzed. It is found that when the braiding angle is 30°, 45°and 60°respectively, the compression strength of composite pipe with glass/kevlar hybrid ratio 1∶1 is the lowest. The compression strength of 2G/2K-60 is 58.4 MPa, it decreases about 31.7%compared with pure glass fiber pipe G-60. In addition, with the same braiding angle, the bending strength of the tube is the highest with glass/kevlar hybrid ratio 1∶3. The tube G/3K-30 has the best bending performance. When glass/kevlar hybrid ratio is 3∶1, 1∶1 and 1∶3 respectively, the smaller braiding angle is, the bigger compression strength and bending strength will be. It is found that the fiber hybrid ratio and braiding parameters have an important influence on the compression and flexural failure mechanism of composite pipe.%通过玻璃/芳纶混杂纤维复合材料圆管的轴向静态压缩和三点弯曲实验，分析了复合材料圆管的压缩及弯曲性能，探讨了编织角和纤维混杂比对复合材料圆管压缩及弯曲性能的影响，并对其破坏形式进行了分析.结果表明：当编织角分别为30°、45°和60°时，玻璃/芳纶混杂比为1∶1时圆管的压缩强度最低，圆管2G/2K-60的压缩强度最低为58.4 MPa，比纯玻璃纤维圆管G-60降低了约31.7%；另外，在相同编织角下，玻璃/芳纶混杂比为1∶3时圆管的弯曲强度最高，复合材料圆管G/3K-30具有最好的弯曲性能；当玻璃/芳纶混杂比分别为3∶1、1∶1和1∶3时，编织角越小，圆管的压缩强度和弯曲强度越大.可见，复合材料圆管的压缩和弯曲破坏机理与纤维混杂比及编织工艺参数有关.
Research on Axial Performances of 3D Braided Composite Circular Tubes%三维编织复合材料圆管轴向力学性能试验研究
Institute of Scientific and Technical Information of China (English)
黄雨霓; 刘振国
2014-01-01
Tube performs for the 3D 4-directional and 3D 5-directional materials were produced by four step braiding method and T-700/epoxy composites were made by VARTM. A study of tensile and compression properties for the two materials were carried out. The results indicate that the axial performances maintain linear elasticity before failure and the tensile strength is much larger than the compressive strength for the two materials. The tensile elastic modulus of the 3D 4-directional material is similar to the compressive elastic modulus. The compressive elastic modulus is larger than the tensile strength for the 3D 5-directional material and the failure?form is characterized by brittle cracks. Moreover, the axial properties of 3D 4-directional braided composites are lower than that of 3D 5-directional braided composites.%本文针对三维四向、五向编织T700/环氧树脂复合材料，采用四步法编织工艺，编织圆管预成型件，利用VARTM工艺固化成型，并进行拉伸和压缩试验，得到两类材料圆管的轴向性能数据。试验结果表明院三维四向和五向复合材料圆管轴向性能在破坏前基本保持线弹性，四向材料拉伸和压缩模量相近，五向材料压缩模量大于拉伸模量，两者拉伸强度均远大于压缩强度，且五向材料破坏具有脆性特征。此外，三维四向编织复合材料的轴向力学性能低于三维五向编织复合材料。
Morscher, Gregory N.; Yun, Hee Mann; DiCarlo, James A.
2007-01-01
The tensile mechanical properties of ceramic matrix composites (CMC) in directions off the primary axes of the reinforcing fibers are important for architectural design of CMC components that are subjected to multi-axial stress states. In this study, 2D-woven melt-infiltrated (MI) SiC/SiC composite panels with balanced fiber content in the 0 degree and 90 degree directions were tensile loaded in-plane in the 0 degree direction and at 45 degree to this direction. In addition, a 2D triaxially-braided MI composite panel with balanced fiber content in the plus or minus 67 degree bias directions and reduced fiber content in the axial direction was tensile loaded perpendicular to the axial direction tows (i.e., 23 degrees from the bias fibers). Stress-strain behavior, acoustic emission, and optical microscopy were used to quantify stress-dependent matrix cracking and ultimate strength in the panels. It was observed that both off-axis loaded panels displayed higher composite onset stresses for through-thickness matrix cracking than the 2D-woven 0/90 panels loaded in the primary 0 degree direction. These improvements for off-axis cracking strength can in part be attributed to higher effective fiber fractions in the loading direction, which in turn reduces internal stresses on critical matrix flaws for a given composite stress. Also for the 0/90 panel loaded in the 45 degree direction, an improved distribution of matrix flaws existed due to the absence of fiber tows perpendicular to the loading direction. In addition, for the +67/0/-67 braided panel, the axial tows perpendicular to the loading direction were not only low in volume fraction, but were also were well separated from one another. Both off-axis oriented panels also showed relatively good ultimate tensile strength when compared to other off-axis oriented composites in the literature, both on an absolute strength basis as well as when normalized by the average fiber strength within the composites. Initial
Properties of 2.5D Braided Carbon/Phenolic Compression Composites%2．5D碳／酚醛模压复合材料的性能研究
Institute of Scientific and Technical Information of China (English)
杨斌; 闫红英; 杨晓军
2013-01-01
采用真空浸胶技术和模压成型工艺研制2．5D编织碳纤维/酚醛新型树脂基防热复合材料，对材料的拉伸性能、烧蚀性能和热常数等进行了测试。结果表明：2．5D碳/酚醛模压复合材料拉伸强度为424 MPa、拉伸模量为66．4 GPa，氧-乙炔线烧蚀率为0．013 mm/s，质量烧蚀率为0．049 g/s，比热容大于1．1 J/（g· K），导热系数小于0．6 W/（m · K），与传统的短纤维、碳布增强的酚醛模压材料相比，2．5D碳/酚醛模压复合材料具有较好的综合性能，可作为结构防热一体化复合材料。%2.5D braided carbon/phenolic composite as new resin matrix thermal protection material was investigated by vacuum impregnation and compression molding .Tensile properties ,ablative properties and thermal constants of the compos-ite were studied.Results indicated the tensile and tensile modulus were 424 MPa,66.4 GPa.The linear ablation rate and mass ablation rate of oxyacetylene were 0.013 mm/s and 0.049 g/s.The thermal conductivity didn’t exceed 0.6 W/(m· K).The specific heat exceed 1.1 J/(g· K).The combined performance of 2.5D braided carbon/phenolic compression composite was better than that of chopped fiber phenolic composite or carbon cloth phenolic .It can bused as thermal protec-tion and structural material .
Institute of Scientific and Technical Information of China (English)
张超; 许希武; 郭树祥
2011-01-01
A nonlinear finite element model with interface phase was presented to simulate the damage and failure of 3 D five-directional braided composites under unidirectional tension. Tsai-Wu and Mises criterions were considered for initial damage prediction of yarns and matrix. Quads failure criteria was adopted to identify the onset of debonding of the interface. An anisotropic damage model was used to analyze the damage evolution of yarns those damage modes were characterized by Murakami' s damage tensor. In addition, a I-sotropic damage model was used to matrix and interface. The whole process of damage initiation, propagation and catastrophic failure of five-directional braided composites with typical braided angle were simulated in detail. The damage mechanisms were revealed in the simulation process and the strength of the braided composites was predicted from the calculated stress-strain curve. The numerical results show good consistent with experiment results, which verifies that the proposed simulation method is very useful for the evaluation of damage mechanisms of 3D five-directional braided composites.%建立了含界面脱粘的三维五向编织复合材料单向拉伸损伤分析有限元模型.将Tsai-Wu强度准则用于纤维束损伤判断并确定材料失效模式,结合Murakami损伤张量表征材料各向异性损伤,根据失效模式进行材料性能退化；界面相和基体分别采用Quads准则和Mises准则作为失效判据,引入刚度折减；建立了五向编织复合材料的损伤预测模型.模拟了典型编织角材料的细观损伤起始、扩展和最终失效过程,分析了材料的细观损伤失效机理,并基于所得应力应变曲线预测了材料的拉伸强度.数值结果与试验结果基本吻合,说明了损伤预测模型的合理有效性.
The braid structure of mapping class groups
Fiedorowicz, Zbigniew; Song, Yongjin
1997-01-01
Surgery and Geometric Topology : Proceedings of the conference held at Josai University 17-20 September, 1996 / edited by Andrew Ranicki and Masayuki Yamasaki. 本文データは許諾を得てeditorのHPサイトhttp://surgery.matrix.jp/math/josai96/proceedings.html から複製再利用したものである。
Braided Composite Technologies for Rotorcraft Structures Project
National Aeronautics and Space Administration — The Phase 2 effort will be used to advance the material and design technologies that were explored in the Phase 1 study of hybrid gears. In this hybrid approach, the...
Braided Composite Technologies for Rotorcraft Structures Project
National Aeronautics and Space Administration — The proposed program will focus on the development of a new generation of advanced technology for rotorcraft transmission systems. This program will evaluate the...
Abrams's stable equivalence for graph braid groups
Prue, Paul
2009-01-01
In his PhD thesis, Abrams proved that for a natural number n and a graph G with at least n vertices, the n-strand configuration space of G deformation retracts to a compact subspace, the discretized n-strand configuration space, provided G satisfies the following two conditions. First, each path between distinct essential vertices (vertices of valence not equal to 2) is of length at least n+1 edges, and second, each path from a vertex to itself which is not nullhomotopic is of length at least n+1 edges. We prove the first condition can be relaxed to require only that each path between distinct essential vertices is of length at least n-1. In doing so, we fill a minor hole in Abrams's original proof. We show the improved result is optimal; that is, the conditions are in fact necessary for the existence of the indicated deformation retraction.
A Kind of Braided-Lie Structures
Institute of Scientific and Technical Information of China (English)
无
2003-01-01
@@ We introduce a family of braidedLie algebras.They are Lie algebras in the unifying YetterDrinfeldLong module categoryJJMQQ where J and Q are Hopf algebras.We study their structure and the braidedLie structure of an algebra A in JJM QQ.
Institute of Scientific and Technical Information of China (English)
黄奎; 刘克斌
2013-01-01
背景：克氏针钢丝张力带是治疗髌骨骨折最常见的方式，但易引起与金属植入物相关的并发症。基于上述原因，有学者开始在张力带固定中应用高强度缝线替代钢丝固定来治疗髌骨骨折。目的：观察髌骨针和FiberWire编织缝线张力带联合固定治疗髌骨骨折的效果。方法：对髌骨针和FiberWire编织缝线张力带固定治疗26例髌骨骨折患者的资料进行回顾性分析，其中男16例，女10例；年龄36-54岁，平均44.6岁。结果与结论：随访6-18个月，平均12个月。所有患者切口均一期愈合。骨折愈合时间为8-16周，平均12周。无骨折移位，无固定松动、断裂或突出于皮下刺激皮肤等并发症发生。按Lysholm&Gil quist 膝关节评分标准评定，优18例，良4例，可4例，优良率85%。结果可见应用髌骨针和FiberWire编织缝线张力带固定治疗髌骨骨折达到了满意的结果，且并发症少。%BACKGROUND:K-wire and steel wire tension band wiring is the most commonly method for the treatment of patel ar fracture. However, there have been many reports of complications related to the mental implants. Based on the reasons above, some scholars begin to replace the steel wire with braided polyester sutures for the treatment of patel ar fracture. OBJECTIVE:To observe the effect of patel ar ring pins and FiberWire braided polyblend sutures tension band fixation for treatment of patel ar fracture. METHODS:We performed a retrospective analysis involving 26 patients with patel ar fracture (16 males, 10 females, at the age of 36-54 years with a mean age of 44.6 years) who were treated with patel ar ring pins and FiberWire braided polyblend sutures tension band fixation. RESULTS AND CONCLUSION:Al the patients were fol owed-up for 6-18 months, average of 12 months. Al patients were primary healing and achieved bone union in 8-16 weeks, averaged in 12 weeks from surgery. There was no fracture fragment
HOMFLY polynomials in representation [3, 1] for 3-strand braids
Mironov, A.; Morozov, A.; Morozov, An.; Sleptsov, A.
2016-09-01
This paper is a new step in the project of systematic description of colored knot polynomials started in [1]. In this paper, we managed to explicitly find the inclusive Racah matrix, i.e. the whole set of mixing matrices in channels R ⊗3 -→ Q with all possible Q, for R = [3 , 1]. The calculation is made possible by the use of a newly-developed efficient highest-weight method, still it remains tedious. The result allows one to evaluate and investigate [3 , 1]-colored polynomials for arbitrary 3-strand knots, and this confirms many previous conjectures on various factorizations, universality, and differential expansions. We consider in some detail the next-to-twist-knots three-strand family ( n, -1 | 1 , -1) and deduce its colored HOMFLY. Also confirmed and clarified is the eigenvalue hypothesis for the Racah matrices, which promises to provide a shortcut to generic formulas for arbitrary representations.
Braids in a two-body micro swimming
Mirzakhanloo, Mehdi; Jalali, Mir Abbas; Alam, M.-Reza
2016-11-01
Here we show that microswimmers' trajectories may get entangled as a result of their mutual hydrodynamic interactions, resulting in a group behavior that is significantly different from individual swimmers' trajectories. Specifically, we consider a two-swimmer motion of "Quadroar", a newly proposed swimmer consists of two axles of rotating disks connected through a linear reciprocating actuator. In the absence of hydrodynamic interaction, each microswimmer moves along a straight path. When hydrodynamic interaction is introduced, the two swimmers move along tightly woven trajectories whose properties depend on the swimmers' initial conditions. We also show that if swimmers are sent toward each other they may reach an equilibrium at which while they are swimming (i.e. spending energy) no net motion is achieved. We further discuss that since the streamlines of the flow induced by the Quadroar closely resemble the oscillatory flow field of the green alga Chlamydomonas reinhardtii, our findings can thus be utilized to understand the interactions of microorganisms with each other.
Braided Cords in Flexible Composites for Aerospace and Automotive Applications
Nawaz, Sabahat
2014-01-01
A morphing aircraft can be defined as an aircraft that changes configuration to maximize its performance at radically different flight conditions. Morphing structures require a large aspect ratio and area change during flight in order to optimise operational performance. Morphing wings are being developed to mimic bird’s wing movements. Birds have different wing profiles at different points in their flight, where swept wings reduce the drag at higher speeds at flight lift-off and long straigh...
Braid My Hair - Randy Owen sings out for sick children
... hair due to illness. Chris Gray and Brent Wilson wrote the song. Gray had been a teacher at St. Jude helping kids there who were being treated for cancer and other catastrophic childhood diseases. He knew firsthand the effects chemotherapy had on kids and that many of ...
Numerical Simulations of Coronal Heating through Footpoint Braiding
Hansteen, Viggo; De Pontieu, Bart; Carlsson, Mats
2015-01-01
Advanced 3D radiative MHD simulations now reproduce many properties of the outer solar atmosphere. When including a domain from the convection zone into the corona, a hot chromosphere and corona are self-consistently maintained. Here we study two realistic models, with different simulated area, magnetic field strength and topology, and numerical resolution. These are compared in order to characterize the heating in the 3D-MHD simulations which self-consistently maintains the structure of the atmosphere. We analyze the heating at both large and small scales and find that heating is episodic and highly structured in space, but occurs along loop shaped structures, and moves along with the magnetic field. On large scales we find that the heating per particle is maximal near the transition region and that widely distributed opposite-polarity field in the photosphere leads to a greater heating scale height in the corona. On smaller scales, heating is concentrated in current sheets, the thicknesses of which are set ...
Particle Identifications from Symmetries of Braided Ribbon Network Invariants
Bilson-Thompson, Sundance; Kauffman, Lou; Smolin, Lee
2008-01-01
We develop the idea that the particles of the standard model may arise from excitations of quantum geometry. A previously proposed topological model of preons is developed so that it incorporates an unbounded number of generations. A condition is also found on quantum gravity dynamics necessary for the interactions of the standard model to emerge.
Institute of Scientific and Technical Information of China (English)
赵琳; 李义天; 孙昭华
2013-01-01
基于实测资料分析,对道人矾-杨林岩顺直分汊段的洲滩演变特征进行了研究,并进一步探索了其与水沙过程的响应关系.结果表明,洲滩演变特征与水沙过程的时间尺度特征相对应:年际间特大洪水易切割边滩,年内主流线摆动导致洲滩冲淤交替,数天、月的次生流输沙造成局部倒套和串沟形成;洲滩变形特征响应于洪季特征流量级的持续时间,蓄水后大于35000 m3/s流量级持续时间的减少是近年来丁家洲边滩洪季冲刷幅度较小,年际间微淤的原因,大于等于25000 m3/s流量级持续时间达4个多月且变化不大是南阳洲中水位以上部位剧烈冲刷的原因;洲滩的几何要素与断面平均含沙量具有较好的增减对应关系,但滞后于含沙量的变化;蓄水后在中小水小沙组合条件下,丁家洲边滩将呈现微淤演变趋势,而南阳洲呈现冲刷演变的趋势,其中洲长变形速度最大,洲宽其次,洲面积变形最慢.%Based on the measured data,the evolutional characters of bars(point bar and mid-channel bar) in Daorenji-Yanglinyan straight braided reach are investigated,and the relationship between fluvial processes and water and sediment transport process is explored.The result shows that the evolutional characters of bars respond to water and sediment transport process at different time scales.The extra flood is prone to cut the point bar,and the mainstream swing leads to alternate erosion and deposition of bars,and the sediment transport by secondary stream causes partial reversed stream and string groove formation in a few days or several months.The bars deformation characteristics respond to the duration of characteristic discharge in flood seasons and the reduce of duration of discharges larger than 35000 m3/s after the commissioning of Three Gorges Project resuits in the small erosion in flood seasons and annual slight deposition of Dingjia point bar,and the four months'duration of
Directory of Open Access Journals (Sweden)
Luiz Eduardo Carvalho Buquera
2002-02-01
Full Text Available A ruptura do ligamento cruzado cranial é uma das principais doenças ortopédicas que afetam os cães. Muitas técnicas cirúrgicas foram descritas no intuito de aliviar a dor, restaurar a estabilidade biomecânica do joelho e prevenir a progressão da osteoartrite. Fáscia lata, fio de poliéster trançado e fio de poliamida foram empregados na estabilização do joelho após excisão do ligamento cruzado cranial em cães, os quais foram submetidos à avaliação radiográfica e macroscópica da articulação. Neste estudo, foram utilizados 18 cães com massa corporal superior a 15Kg (peso médio - 19,67kg, separados em 3 grupos eqüitativos correspondentes a cada técnica, avaliados durante 30 e 60 dias. Ao exame radiográfico, independentemente de grupo, os cães apresentaram evidência de efusão articular moderada a severa, distensão da cápsula articular e, na maioria dos casos, ausência de sinais de doença articular degenerativa. Ao exame macroscópico da articulação do joelho observou-se espessamento da cápsula articular e tecidos moles periarticulares, erosão da cartilagem articular dos côndilos femorais em todos os grupos e afrouxamento dos fios nos cães submetidos às técnicas de estabilização extra-articular com fio de poliéster trançado e fio de poliamida.The cranial cruciate ligament rupture is one of the main orthopaedic diseases which affect dogs. Many surgical techniques have been described and they aim to relief the pain, restore stifle biomechanical stability and prevent the progression of osteoarthritis. Fascia lata, braided polyester and polyamida were used in lateral fabellar suture to stifle stabilization after induced cranial cruciate ligament rupture in dogs that were submitted to radiographic and macroscopic evaluation of joint. In this study 18 dogs weighting more than 15kg were used (middleweight - 19.67kg, distributed in three groups corresponding to each technique, evaluated during 30 and 60 days. In
Hopf Symmetry and its breaking; Braid Statistics and Confinement in Planar Physics
Slingerland, J.K.
2002-01-01
Dit proefschrift gaat over symmetrie en statistiek. Bij symmetrie moeten we hier denken aan symmetrieen van de natuurwetten, zoals translatiesymmetrie; de natuurwetten zijn hier hetzelfde als een eind verderop. Bij statistiek gaat het om zgn. topologische wisselwerkingen tussen deeltjes in het syste
Erosion rates deduced from Seasonal mass balance along an active braided river in Tianshan
Directory of Open Access Journals (Sweden)
Y. Liu
2011-07-01
Full Text Available We report measurements performed during two complete flow seasons on the Urumqi River, a proglacial mountain stream in the northeastern ank of the Tianshan, an active mountain range in Central Asia. This survey of flow dynamics and sediment transport (dissolved, suspended and bed loads, together with a 25-year record of daily discharge, enables the assessment of secular denudation rates on this high mountain catchment of Central Asia. Our results show that chemical weathering accounts for more than one third of the total denudation rate. Sediment transported as bed load cannot be neglected in the balance given that sand and gravel transport accounts for one third of the solid load of the river. Overall, the mean denudation rates are low, averaging 46 t × km^{−2} × yr^{−1} (17–18 m Myr^{−1}. We furthermore analyse the hydrologic record to show that the long-term sediment budget is not dominated by extreme and rare events but by the total amount of rainfall or annual runoff. The rates we obtain are in agreement with rates obtained from the mass balance reconstruction of the Plio-Quaternary gravely deposits of the foreland but signicantly lower than the rates recently obtained from cosmogenic dating of river sand. We show that the resolution of this incompatibility has an important consequence for our understanding of the interplay between erosion and tectonics in the semi-humid ranges of Central Asia.
Braiding and Rhetorical Power Players: Transforming Academic Writing through Rhetorical Dialectic
Gunter, Kimberly K.
2011-01-01
In this article, I revisit the Elbow/Bartholomae debate, review recent scholarship on academic writing, and discuss the ways that the mandates of traditional academic writing can further disenfranchise already marginalized students. I suggest that, due to the double consciousness with which these students often live, they come into classrooms…
Quantum Racah matrices and 3-strand braids in representation [3,3
Shakirov, Sh
2016-01-01
This paper is a next step in the project of systematic description of colored knot polynomials started in arXiv:1506.00339. In this paper, we managed to explicitly find the $\\textit{inclusive}$ Racah matrices, i.e. the whole set of mixing matrices in channels $R^{\\otimes 3}\\longrightarrow Q$ with all possible $Q$, for $R=[3,3]$. The case $R=[3,3]$ is a multiplicity free case as well as $R=[2,2]$ obtained in arXiv:1605.03098. The calculation is made possible by the use of highest weight method with the help of Gelfand-Tseitlin tables. The result allows one to evaluate and investigate $[3,3]$-colored polynomials for arbitrary 3-strand knots, and this confirms many previous conjectures on various factorizations, universality, and differential expansions. With the help of a method developed in arXiv:1605.04881 we manage to calculate {\\it exclusive} Racah matrices $S$ and $\\bar S$ in $R=[3,3]$. Our results confirm a calculation of these matrices in arXiv:1606.06015, which was based on the conjecture of explicit fo...
Braided Reach Cross-Section Monitoring Surveys, Kootenai River near Bonners Ferry, Idaho, 2011
U.S. Geological Survey, Department of the Interior — In 2009, the Kootenai Tribe of Idaho released and implemented the Kootenai River Habitat Restoration Master Plan. This plan aimed to restore, enhance, and maintain...
Quantum Racah matrices and 3-strand braids in irreps R with |R|=4
Mironov, A; Morozov, An; Sleptsov, A
2016-01-01
We describe the inclusive Racah matrices for the first non-(anti)symmetric rectangular representation R=[2,2] for quantum groups U_q(sl_N). Most of them have sizes 2, 3, and 4 and are fully described by the eigenvalue hypothesis. Of two 6x6 matrices, one is also described in this way, but the other one corresponds to the case of degenerate eigenvalues and is evaluated by the highest weight method. Together with the much harder calculation for R=[3,1] in arXiv:1605.02313 and with the new method to extract exclusive matrices S and \\bar S from the inclusive ones, this completes the story of Racah matrices for |R|\\leq 4 and allows one to calculate and investigate the corresponding colored HOMFLY polynomials for arbitrary 3-strand and arborescent knots.
HOMFLY polynomials in representation [3,1] for 3-strand braids
Mironov, A; Morozov, An; Sleptsov, A
2016-01-01
This paper is a new step in the project of systematic description of colored knot polynomials started in arXiv:1506.00339. In this paper, we managed to explicitly find the inclusive Racah matrix, i.e. the whole set of mixing matrices in channels R^3->Q with all possible Q, for R=[3,1]. The calculation is made possible by the use of a newly-developed efficient highest-weight method, still it remains tedious. The result allows one to evaluate and investigate [3,1]-colored polynomials for arbitrary 3-strand knots, and this confirms many previous conjectures on various factorizations, universality, and differential expansions. We consider in some detail the next-to-twist-knots three-strand family (n,-1|1,-1) and deduce its colored HOMFLY. Also confirmed and clarified is the eigenvalue hypothesis for the Racah matrices, which promises to provide a shortcut to generic formulas for arbitrary representations.
Directory of Open Access Journals (Sweden)
Xiaoyan Liu
2015-11-01
Full Text Available A hierarchical support vector regression (SVR model (HSVRM was employed to correlate the compositions and mechanical properties of bicomponent stents composed of poly(lactic-co-glycolic acid (PGLA film and poly(glycolic acid (PGA fibers for urethral repair for the first time. PGLA film and PGA fibers could provide ureteral stents with good compressive and tensile properties, respectively. In bicomponent stents, high film content led to high stiffness, while high fiber content resulted in poor compressional properties. To simplify the procedures to optimize the ratio of PGLA film and PGA fiber in the stents, a hierarchical support vector regression model (HSVRM and particle swarm optimization (PSO algorithm were used to construct relationships between the film-to-fiber weight ratio and the measured compressional/tensile properties of the stents. The experimental data and simulated data fit well, proving that the HSVRM could closely reflect the relationship between the component ratio and performance properties of the ureteral stents.
Blood-Flow Modelling Along and Trough a Braided Multi-Layer Metallic Stent
Milisic, Vuk
2009-01-01
In this work we study the hemodynamics in a stented artery connected either to a collateral artery or to an aneurysmal sac. The blood flow is driven by the pressure drop. Our aim is to characterize the flow-rate and the pressure in the contiguous zone to the main artery: using boundary layer theory we construct a homogenized first order approximation with respect to epsilon, the size of the stent's wires. This provides an explicit expression of the velocity profile through and along the stent. The profile depends only on the input/output pressure data of the problem and some homogenized constant quantities: it is explicit. In the collateral artery this gives the flow-rate. In the case of the aneurysm, it shows that : (i) the zeroth order term of the pressure in the sac equals the averaged pressure along the stent in the main artery, (ii) the presence of the stent inverses the rotation of the vortex. Extending the tools set up in [Bonnetier et al, Adv. Math. Fluids, 2009, Milisic, Meth. Apl. Ann., 2009] we pro...
1981-04-01
kevlar 49® fib -r over aluminum alloy mandrels, vacuum• impregnated with liquid resin, autoclave cured, and testeo. Reproducibility of fiber angles was...P.O. Box 894, Indianapolis, Indiana 46206 1 ATTN: James E. Knott , General Manager General Electric Company, 10449 St. Charles Rock Road, St. Ann
Crosato, A.; Mosselman, E.
2009-01-01
The number of bars that form in an alluvial channel cross section can be determined from a physics-based linear model for alluvial bed topography. The classical approach defines separators between ranges in which river planform styles with certain numbers of bars are linearly stable and linearly uns
de Wet, A. P.; Bleacher, J. E.; Garry, W. B.
2012-01-01
Water has clearly played an important part in the geological evolution of Mars. There are many features on Mars that were almost certainly formed by fluvial processes -- for example, the channels Kasei Valles and Ares Vallis in the Chryse Planitia area of Mars are almost certainly fluvial features. On the other hand, there are many channel features that are much more difficult to interpret -- and have been variously attributed to volcanic and fluvial processes. Clearly unraveling the details of the role of water on Mars is extremely important, especially in the context of the search of extinct or extant life. In this project we built on our recent work in determining the origin of one channel on the southwest rift apron of Ascraeus Mons. This project, funded by the Keck Geology Consortium and involving 4 undergraduate geology majors took advantage of the recently available datasets to map and analyze similar features on Ascraeus Mons and some other areas of Mars. A clearer understanding of how these particular channel features formed might lead to the development of better criteria to distinguish how other Martian channel features formed. Ultimately this might provide us with a better understanding of the role of volcanic and fluvial processes in the geological evolution of Mars.
Digital Repository Service at National Institute of Oceanography (India)
AvinashKumar; Jayappa, K.S.; Vethamony, P.
of this island has been changed by ~6 0 (Fig. 7b). Presently, the island measures a length of 625 m and width of 110 m which is exposed by 10-11 m from the MSL. The Mudu (XII) is the largest among all the fifteen islands which is located southeast... to 15 m in height with respect to MSL. The islands close to the Lb (VII-X and XII) are relatively at higher elevation compared to that found in the middle of the estuary (XI) and those close to the Rb (XIII and XIV). Those close to the Lb are dipping...
Godelle, Eddy
2010-01-01
Let $\\Gamma$ be a Coxeter graph, let $(W,S)$ be its associated Coxeter system, and let $(A,\\Sigma$) be its associated Artin-Tits system. We regard $W$ as a reflection group acting on a real vector space $V$. Let $I$ be the Tits cone, and let $E_\\Gamma$ be the complement in $I +iV$ of the reflecting hyperplanes. Recall that Charney, Davis, and Salvetti have constructed a simplicial complex $\\Omega(\\Gamma)$ having the same homotopy type as $E_\\Gamma$. We observe that, if $T \\subset S$, then $\\Omega(\\Gamma_T)$ naturally embeds into $\\Omega (\\Gamma)$. We prove that this embedding admits a retraction $\\pi_T: \\Omega(\\Gamma) \\to \\Omega (\\Gamma_T)$, and we deduce several topological and combinatorial results on parabolic subgroups of $A$. From a family $\\SS$ of subsets of $S$ having certain properties, we construct a cube complex $\\Phi$, we show that $\\Phi$ has the same homotopy type as the universal cover of $E_\\Gamma$, and we prove that $\\Phi$ is CAT(0) if and only if $\\SS$ is a flag complex. We say that $X \\subset...
Directory of Open Access Journals (Sweden)
Rubio, V.
1997-12-01
Full Text Available The physico-chemical and mineralogical study of the Ara river sediments, in the Central Pyrenees (Spain, allows to recognize the genesis and evolution of its basin. The minerals of the sand fraction, the ones corresponding to the clay fraction and the minority elements, reveal certain processes and associations that, in addition to the identification of the fluvial terraces, fans, glacis and even morainic deposits, contribute to explain the geological history of the Central Pyrenees, the main objective of this work. The application of a multivariate factorial analysis to the data with BMDP-4M program was very helpful for the interpretation of the results. The more resistant minerals are found in the thinner textural fractions, whereas the more alterable are located in the thicker fractions. The cones and glacis, composed by materials of the flysch, reveal an alteration of the carbonated materials which is shown by the formation of feldspars and anphybols. The formation of iron and manganese metal oxides, of different crystallinity degrees, associated with chrome, lead and nickel, is also observed. The morainic deposits, mainly composed by silicate materials, bring along the formation of illite associated with copper and zinc. Finally, the fluvial terraces have a combination of both alteration processes previously described.
[es] El estudio físico-químico y mineralógico de los sedimentos del río Ara, en el Pirineo Central (España, permite reconocer la génesis y evolución de su cuenca. Los minerales de la fracción arena, los correspondientes a la fracción arcilla y los elementos minoritarios, delatan ciertos procesos y asociaciones que, junto con la identificación de terrazas fluviales, conos, glacis e incluso depósitos morrénicos, ayudan a explicar la historia geológica del Pirineo Central, principal objetivo de este trabajo. La aplicación al conjunto de datos de un análisis factorial multivariante mediante el programa BMDP-4M facilitó la interpretación de los resultados. Los minerales más resistentes se encuentran en las fracciones texturales más finas, mientras que los minerales más alterables se localizan en las más gruesas. Los conos y glacis constituidos por materiales del flysch, presentan una alteración de materiales carbonatados que se manifiesta por la formación de esmectita y sepiolita en la fracción arcilla como resultado de la transformación de feldespatos y anfíboles. También se observa la formación de óxidos de hierro y manganeso con distinto grado de cristalinidad asociados a cromo, plomo y níquel. Las morrenas constituidas principalmente por materiales silicatados conllevan la formación de Hita asociada a cobre y zinc. Por último, las terrazas fluviales tienen mezcla de los procesos de alteración anteriormente descritos.
[fr] L'étude physique, chimique et minéralogique des sédiments de la rivière Ara, dans les Pyrénées Centrales (Espagne permet de reconnaître la genèse et l'évolution de son bassin. Les minéraux à la fraction sableuse, ceux qui correspondent à la fraction de l'argile et les éléments chimiques minoritaires, démontrent quelques procès et des associations en relation avec l'identification des terrasses fluviaux, des cônes, des glacis et des dépôts morainiques, aident à expliquer l'histoire géologique des Pyrénées Centrales, ce qui est le principal objectif de ce travail. L'application des données d'un analyse factoriel multivariant grâce au programme BMDP-4M facilite l'interprétation des résultats. Les minéraux le plus résistent se trouvent dans les fractions les plus fines, et les minéraux les plus altérables se situent aux plus lourdes. Les cônes et les glacis formés pour les matériaux du flysch, montraient une altération des carbonates qui finissent dans la formation de la smectite et de la sepiolite à la fraction argileuse comme un résultat de la transformation des feldspaths et des amphibols. Aussi on voit la formation des oxydes defer et de manganèse avec différent degré de cristallinité, associés au Cr, Pb et Ni. Les moraines formées par les matériaux silicates conduisent à la formation de l'illite avec le Cu et le Zn. Les terrasses fluviaux montrent une mélange des procès d'altération avant décrits.
Avrin, Jack
2015-01-01
Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assumptions and the importation of parameter values. The emphasis of the book is thus on that geometry, the algebraic geometry associated with taxonomical issues and the differential geometry that determines the physics as well as on simplifying the results. In itself, however, the process of assembling and developing what eventually went into the book has been a singularly rewarding journey. Along the way some fascinating insights and connections to known physical attributes and theories emerge, some predictable but others unbidden and even unanticipated. The book is intended to summarize that journey in a way that, readers with a range of backgrounds will find interesting and provocative. Connections to other physical...
The Artistic Edification of The Magic Braid, the Pursuit of Perfectionism Elements%《神鞭》的艺术启示
Institute of Scientific and Technical Information of China (English)
彭晓农; 喻俊明
2008-01-01
在20世纪80年代的通俗文学中的武侠传奇热中,曾产生了一批通俗文学.冯骥才的,把浓郁的传奇性和可贵的现代意识把握有机结合,令人耳目一新,并在通俗文学向何处去上给人以启迪.
构建和谐团队 促进社会工作%Braiding a Harmonious Team,Promoting Social work
Institute of Scientific and Technical Information of China (English)
林嫦
2012-01-01
In social work,the team plays a more and more important role.The paper expounds on the influence of the team and the individual in social work, analyzes several aspects that is disadvantageous to team construction in social work,and puts forward approaches to construct a harmonious team and promote social work:self-awareness,inter-admission,integration of individual work and team cooperation, giving full play to the important role of team leader, strengthening training.%在社会工作中,团队发挥出越来越重要的作用,文章试述团队和个人在社会工作中的影响,分析社会工作中不利于团队建设的几种表现,提出构建和谐团队,促进社会工作的途径：自我认知,清晰自己的角色和定位;相互接纳,善于沟通协调;既要有分工更要有合作;充分发挥团队领头人的重要作用;加强培训,造就一支结构合理、素质优良的社会工作人才队伍。
Moon, So Yun; Kim, Euni; Noh, Tae Hwan; Lee, Young-A; Jung, Ok-Sang
2013-10-14
Self-assembly of silver triflate with L in alcohol solvent produces characteristic triple-meso helices [Ag3(L)3(ROH)](CF3SO3)3 (L = diethylbis(4-pyridyl)silane; R = Me, Et, n-Pr, and n-Bu) with six units in each turn. Their unit cell volumes are sensitive to the size of the coordinated alcohol molecules. An unusual "alcohol molecules at triple-meso helices" system is a characteristic reversible alcohol container and discriminator via appropriate association/dissociation. The meso helical solids are favored in the order MeOH > EtOH > n-PrOH > n-BuOH via an interaction between the silver(I) ion and the alcohol molecule. The crystals evaporate the coordinated alcohol molecules at low temperatures, and finally calcination at 600 °C produces micro-sized chaotic surface materials consisting of silver(0) without silicon(IV) oxide.
Analysis of Facet-braiding Based on 3D Reconstruction of Integral Imaging%基于Ⅱ三维重建的facet-braiding现象分析
Institute of Scientific and Technical Information of China (English)
王红霞
2010-01-01
三维全景图像技术(Integral Imaging,简称Ⅱ)是一种能够记录和显示全真三维场景的图像技术.该技术采用微透镜阵列记录空间场景,空间任意一点的深度信息只需通过一次成像即可直接获得.Facet-braiding是三维全景图像中一种很重要的视觉现象,该现象造成图像失真,影响了图像的观看效果.Ref.6中Martinez-Cuenca从单个元素图像的角度对该现象进行了分析,现从三维重建的角度对该现象的出现与否进行对比验证.先用光学软件模拟深度优先、参考平面在无穷远处的传统Ⅱ成像系统,然后在该模拟系统中进行对比实验,结果并未出现Ref.6中提到的facet-braiding现象.该结果对Ⅱ的视角分析、物体的精确三维重建及空间分辨率分析具有重要意义.
Application of adhesive XS-100 in fiber braided hose%粘合剂XS-100在纤维编织胶管中的应用
Institute of Scientific and Technical Information of China (English)
丁庆凯
2008-01-01
试验研究粘合剂XS-100在纤维编织胶管中的应用.结果表明,粘合剂XS-100用量对胶管胶料的物理性能影响不大,当粘合剂XS-100用量为5份时硫化胶的粘合性能最好;以粘合剂XS-100等量替代粘合剂RS/A,胶管胶料的物理性能和粘合性能变化不大,耐热空气老化性能略有提高,成品胶管符合企业标准要求.
US Fish and Wildlife Service, Department of the Interior — Appendix A contains the data which met QA/QC criteria. Concentrations (ppm) for each element are individually tabulated. Values for sediment, total waters,...
长江中游典型分汊河段河床演变%Alluvial process analysis of typical braided reach in middle reaches of Yangtze River
Institute of Scientific and Technical Information of China (English)
刘万利; 伍文俊; 余新明
2011-01-01
戴家洲河段来水来沙特点分析表明,本河段具有明显的平原河流特征,水流易受地形影响,河段年际间来水来沙存在较大的变化,来沙以流域产沙为主,河段内造床起主导作用的是悬移质泥沙运动.河段演变特点主要表现为：洪水河势基本稳定而中低水滩地则冲淤变化不定,池湖港心滩基本稳定,巴河边滩发育和冲蚀交替,戴家洲洲头不断变化,直港直水道和微弯水道特征不断转化交替,巴河边滩的消长、戴家洲洲头的进退和直港滩槽演变密切相关,戴家洲直港浅滩位置多变且呈洪淤枯冲规律.结合三峡水利枢纽的蓄水运用,对戴家洲河段河床演变趋势进行了预估.%The characters of runoff and sediment of Daijiazhou reach in middle reaches of the Yangtze river is analyzed.It is shown that the plain river characteristics of Daijiazhou reach is obvious.The runoff and sediment between the years vary largely.The suspended load plays an important role in alluvial process.The characters of river evolution are as follows： the flood river regime is stable whereas the low-water riverbed is unstable;the Chihugang shoal is basically stable;the deposition and erosion of Bahe point bar is alternating;the head of Daijiazhou sandbar is constantly changing;Zhigang channel alternate between slightly curved channel characteristics and straight channel characteristics;Bahe point bar and the head of Daijiazhou sandbar are closely related to Zhigang channel condition;the position of Zhigang shoal is frequent changing.Combined with impoundment of the Three Gorges Dam,the fluvial tendency of Daijiazhou reach is predicted.
STUDY OF 3D-BRAIDED CARBON FIBER/NYLON COMPOSITE%三维编织碳纤维尼龙复合材料的探索性研究
Institute of Scientific and Technical Information of China (English)
郑立允; 赵立新; 王玉林; 万怡灶
2002-01-01
本文论述了根据碱催化阴离子聚合原理、用液态原位聚合方法制备三维编织碳纤维尼龙复合材料的成型工艺过程,测试并分析了其力学性能及其成型过程中的主要影响因素.结果表明,该复合材料的性能明显优于长碳纤维尼龙复合材料.
三维编织复合材料T型梁弯曲疲劳性能研究%BENDING FATIGUE BEHAVIOR OF 3D BRAIDED COMPOSITE T-BEAM
Institute of Scientific and Technical Information of China (English)
张中伟; 严静
2014-01-01
采用四步法三维编织以及VARTM技术制得三维编织复合材料T型梁,利用MTS 810.23仪器对材料进行准静态三点弯曲测试,使用频率为3Hz、应力比R=1的正弦波加载条件对材料进行弯曲疲劳测试.根据测得的数据分析获得S-N曲线、应力位移曲线以及最大最小位移曲线,材料在50％应力水平下其三点弯曲疲劳加载循环次数超过50万次.通过最终破坏形态可知,筋高处纤维的断裂是导致材料最终失效的主要破坏模式.
Institute of Scientific and Technical Information of China (English)
左惟炜; 肖来元; 廖道训
2007-01-01
通过对三维编织复合材料圆柱型结构进行应力分析,对三维编织复合材料高速飞轮的极限转速进行了理论推导和数值计算.结果表明,在保证强度的前提下,三维编织复合材料飞轮能够达到很高的极限转速,完全能够满足飞轮电池的储能使用要求.
DEFF Research Database (Denmark)
Bashforth, Arden Roy; Drábková, Jana; Opluštil, Stanislav;
2011-01-01
to avulsion and flooding. Taphonomic observations and multivariate analysis of 41 quadrats containing mostly (par)autochthonous megafloral assemblages reveal that riparian vegetation comprised a collage of monospecific to low-diversity communities, with patchiness prevalent at local and regional scales...
Institute of Scientific and Technical Information of China (English)
张芳芳; 刘才
2014-01-01
基于区域叠合技术和与材料断裂能相关的损伤演化模型对三维四向编织复合材料的渐进损伤演变过程及拉伸强度进行数值预测.结合基于Fortran语言编写的单胞增强相网格提取算法,实现了参数化单胞增强相网格模型的快速建立.基于Murakami损伤理论建立了正交各向异性损伤本构模型,利用等价位移控制相应模式下损伤的演变发展,分别模拟了典型大小编织角三维四向编织复合材料的细观损伤起始、扩展和最终失效过程.数值预测结果与实验结果吻合较好.
DEFF Research Database (Denmark)
Bashforth, Arden Roy; Drábková, Jana; Opluštil, Stanislav;
2011-01-01
. The vertical arrangement of megafloral assemblages provides evidence for ecological succession at some localities, with pioneering sphenopsid dominated seres being replaced by marattialean tree ferns and then by medullosalean pteridosperms as ponded waters shallowed and exposure increased. At other localities...... recovery after disturbance, indicates that these species assemblages were ‘dominance-controlled’ (i.e., contained one or more K-selected species that were competitively superior to all others). Pioneering vegetation comprising fast-growing, opportunistic taxa, particularly ferns and sphenopsids, was most...... common on wetter, shifting substrates of frequently flooded abandoned channels, low-lying floodplains, and lake margins. In these ‘founder-controlled’ communities, several r-selected species had similar competitive abilities. Ferns, sphenopsids, and various lycopsids dominated swamps, marshes...
Institute of Scientific and Technical Information of China (English)
吴书锋; 张玲; 周绍建; 程文; 刘建军
2013-01-01
采用国产T300级碳纤维进行轴棒法编织结构碳/碳(C/C)复合材料制备,并对C/C复合材料喉衬进行固体火箭发动机(SRM)地面点火试验,结合扫描电子显微镜(SEM),分别对烧蚀后喉衬入口部位、喉部和出口部位的烧蚀形貌进行分析.结果表明,在7.432 MPa压力下,国产T300级碳纤维轴棒法编织结构C/C喉衬的烧蚀性能较为稳定,烧蚀均匀,烧蚀后型面光滑,烧蚀率较低,平均线烧蚀率为0.159 6 mm/s,国产T300级碳纤维的性能满足发动机的工作要求.%Axial carbon rod woven 4D carbon/carbon(C/C) composite were fabricated by domestic T300 PANbased Carbon fibers,and a firing test was carried out for testing the ablation properties of C/C composite throat.The ablation morphologies of its different parts (entrance part,throat and exit part) were investigated by scanning electron microscopy (SEM).The results showed that under the pressure of 7.432 MPa,the composite have stable ablation rates of about 0.1596 mm/s and homogeneous properties,the contours of composite after test were smooth.The property of domestic T300 PAN-based Carbon fibers can be applied for throat of SRM.
Institute of Scientific and Technical Information of China (English)
陈利; 詹丽丽; 孙颍
2007-01-01
在渐近均匀化理论基础上,确立了基于单胞数字化模型的复合材料宏观等效弹性性能的三维数值分析方法(DCB-FEA).该方法采用三维光栅化技术将三维单胞模型转化为三维光栅图形(数字化模型),并将光栅图形直接转化为三维有限元求解网格.产生的离散单元具有相同的几何尺寸和规则的形状,单元刚度矩阵的数量将减少为单胞材料的个数.此外,单胞数字化模型仅需记录每个离散单元的材料种类,其他参数如单元节点编号、节点坐标等均可在求解过程中自动生成,周期性边界条件也可以自动施加.随着分辨率的提高,单胞数字化模型将产生更多数量的单元,特别是对于三维单胞模型,集成整体刚度矩阵时需要大量的计算机内存.采用基于Element-by-element策略的预处理共轭梯度法(EBE-PCG),有限元方程的求解在单元级上进行,避免了整体刚度矩阵的集成.通过对三维编织复合材料的线弹性本构关系的数值模拟,表明该方法可得到较为准确的复合材料等效模量.
Topological Quantum Hashing with the Icosahedral Group
Burrello, Michele; Xu, Haitan; Mussardo, Giuseppe; Wan, Xin
2010-04-01
We study an efficient algorithm to hash any single-qubit gate into a braid of Fibonacci anyons represented by a product of icosahedral group elements. By representing the group elements by braid segments of different lengths, we introduce a series of pseudogroups. Joining these braid segments in a renormalization group fashion, we obtain a Gaussian unitary ensemble of random-matrix representations of braids. With braids of length O(log2(1/ɛ)), we can approximate all SU(2) matrices to an average error ɛ with a cost of O(log(1/ɛ)) in time. The algorithm is applicable to generic quantum compiling.
Excellent bonding behaviour of novel surface-tailored fibre composite rods with cementitious matrix
Indian Academy of Sciences (India)
Fernando Cunha; Sohel Rana; Raul Fangueiro; Graça Vasconcelos
2014-08-01
Novel composite rods were produced by a special braiding technique that involves braiding of polyester yarns around a core of resin-impregnated carbon fibres and subsequent curing. The surface roughness of these braided rods was tailored by replacing one or two simple yarns in the outer-braided layer with braided yarns (produced from 8 simple yarns) and adjusting the take-up velocity. Pull-out tests were carried out to characterize the bond behaviour of these composite rods with cementitious matrix. It was observed that the rod produced with two braided yarns in the outer cover and highest take-up speed was ruptured completely before pull-out, leading to full utilization of its tensile strength, and exhibited 134% higher pull-out force as compared to the rods produced using only simple braiding yarns.
Mehmet Emin Taşdelen; Mehmet Halidun Keleştemur; Ercan Şevkat
2016-01-01
Braided sleeve composite shafts are produced and their torsional behavior is investigated. The braided sleeves are slid over an Al tube to create very strong and rigid tubular form shafts and they are in the form of 2/2 twill biaxial fiber fabric that has been woven into a continuous sleeve. Carbon and glass fibers braided sleeves are used for the fabrication of the composite shafts. VARTM (vacuum assisted resin transfer molding) and Vacuum Bagging are the two different types of manufacturing...
2012-01-01
In certain two-dimensional time-dependent flows, the braiding of periodic orbits provides a way to analyze chaos in the system through application of the Thurston-Nielsen classification theorem (TNCT). We expand upon earlier work that introduced the application of the TNCT to braiding of almost-cyclic sets, which are individual components of almost-invariant sets [Stremler et al., "Topological chaos and periodic braiding of almost-cyclic sets," Phys. Rev. Lett. 106, 114101 (2011)]. In this co...
77 FR 73897 - Airworthiness Directives; The Boeing Company Airplanes
2012-12-12
... use of unclenched, low temperature solder joints connecting the braid wire to the terminal block. The... suggestion to revise this AD to address the solder joints connecting the braid wire to the terminal block... the window heater element loop resistance. These tasks specify the correct torque for assembly of...
2012-01-30
... law, the analytical requirements of the Regulatory Flexibility Act, 5 U.S.C. 601 et seq., are...) A set of two rope loops covered with protective tubing. A set of two pieces of poly braid rope... set consists of two 3-ft (0.91 m) lengths of poly braid rope (\\3/8\\-inch (9.52 mm) diameter...
2011-12-30
... consistent with the Magnuson- Stevens Act, and other applicable law. This final rule has been determined to...) A set of two rope loops covered with protective tubing. A set of two pieces of poly braid rope... set consists of two 3-ft (0.91 m) lengths of poly braid rope (\\3/8\\-inch (9.52 mm) diameter...
2010-06-01
... thermal switch grounding for the number 2 engine, and wire braid grounding in the empennage and number 2..., Docket Operations, M-30, West Building Ground Floor, Room W12-140, 1200 New Jersey Avenue, SE... detection thermal switch grounding for the number 2 engine, and wire braid grounding in the empennage...
Systematic distillation of composite Fibonacci anyons using one mobile quasiparticle
Reichardt, Ben W
2012-01-01
A topological quantum computer should allow intrinsically fault-tolerant quantum computation, but there remains uncertainty about how such a computer can be implemented. It is known that topological quantum computation can be implemented with limited quasiparticle braiding capabilities, in fact using only a single mobile quasiparticle, if the system can be properly initialized by measurements. It is also known that measurements alone suffice without any braiding, provided that the measurement devices can be dynamically created and modified. We study a model in which both measurement and braiding capabilities are limited. Given the ability to pull nontrivial Fibonacci anyon pairs from the vacuum with a certain success probability, we show how to simulate universal quantum computation by braiding one quasiparticle and with only one measurement, to read out the result. The difficulty lies in initializing the system. We give a systematic construction of a family of braid sequences that initialize to arbitrary acc...
Institute of Scientific and Technical Information of China (English)
谢辉
2004-01-01
焉耆盆地宝浪油田含油气层段位于中生界下侏罗统三工河组(J1s),为典型的浅水缓坡型粗粒辫状河三角洲-湖泊沉积体系.储层成分成熟度和结构成熟度低,粒度概率曲线以牵引和悬浮二段式为主,C -M图以PQ段和QR段为主,宝浪油田侏罗系三工河组划分出12种有成因意义的岩石相,采用Coleman的方案将浅水辫状河三角洲划分为:上三角洲平原(洪水线之上)、下三角洲平原(枯水线-洪水线之间)和水下三角洲平原(枯水线之下)3个亚相带.研究区主要发育了(水下)分流河道微相、水下分流河道间微相、决口水道(扇)微相、溢流沉积微相、滨湖沼泽沉积微相,河口坝微相不发育.(水下)分流河道微相占研究区储层的90%以上,根据砂体的岩石相组合、冲刷程度、水流能量大小的变化规律,其又可分为:充填河道、废弃河道、进积河道3种基本类型.储层物性以废弃河道为最好,单井油气产能亦最高,充填河道次之,进积河道和决口水道(扇)则相对较差.
Institute of Scientific and Technical Information of China (English)
卢子兴; 王成禹; 夏彪
2014-01-01
基于三维全五向(Q5D)编织复合材料的细观结构模型,通过引入界面相单元,建立了含界面相Q5D编织复合材料单轴拉伸损伤失效分析模型.应用Python语言实现对ABAQUS的二次开发,将Linde等提出的失效准则和Von-Mises应力准则分别用于纱线和基体的渐进损伤判断,并确定材料的整体失效模式;对于界面相,采用Quads准则进行损伤判断.利用周期性位移边界条件,对含界面相Q5D编织复合材料的纵向拉伸应力-应变行为进行了渐进损伤数值模拟,详细讨论了在纵向拉伸载荷作用下材料的细观损伤起始、扩展和最终失效的演化过程,分析了材料的细观损伤失效机制,预测了材料的极限破坏强度,并研究了界面相性能对材料整体力学行为的影响规律.研究结果表明,数值模拟结果与实验值吻合较好,验证了渐进损伤模型的有效性,为该类材料的力学分析和优化设计奠定了基础.
Institute of Scientific and Technical Information of China (English)
陈凯; 李旭东; 李鹏飞
2010-01-01
三维编织C/C复合材料在制备过程时会存在于基体中,纤维上的缺陷以及界面相的异构.从界面相的异构出发,通过计算机来模拟带有界面相异构的三维编织C/C复合材料模型,预测复合材料在具有界面相异构下的结果,为研究具有不同形式微结构的编织复合材料本构关系,预测编织复合材料的弹性力学行为,搞清不同微结构对应的破坏模式和破坏机理提供参考.
Institute of Scientific and Technical Information of China (English)
徐蒙; 王家豪; 徐东浩; 宋广增; 赵宝峰
2013-01-01
通过岩芯观察、测井相分析、沉积相剖面和砂体平面展布分析,认为苏里格气田苏120区块盒8段属浅水辫状河三角洲平原亚相沉积,但是各小层分流河道砂体发育程度不同.盒81上小层辫状分流河道发育程度低,呈似曲流河状,属弱辫状化分流河道类型；盒81下小层、盒82下小层、盒82上小层辫状分流河道发育程度高,呈现宽条带状,属强辫状化分流河道类型.对比两者的区别,最终建立辫状化程度不同的浅水辫状河三角洲沉积模式.同时,对该区盒8段分流河道(砂体)进行中心线叠合处理,得出分流河道砂体的演化既存在继承性又存在迁移性的规律,继承性表现为不同小层分流河道的数量和大体位置较稳定,迁移性表现为分流河道始终向两侧迁移,包括东移、西移和往返3种侧向迁移方式.
Institute of Scientific and Technical Information of China (English)
庞宝君; 杜善义; 韩杰才; 王铎
2000-01-01
针对三维多向编织复合材料,在已建立的单胞几何模型及材料力学性能细观计算力学分析方法的基础上,引入Murakami的几何损伤理论模拟纤维束的细观损伤行为,建立了预报该类材料非线性本构行为数值模拟及细观损伤机理的有限元分析方法.结合实例预报了碳/环氧四向编织复合材料本构的非线性行为,并与实验结果进行了对比.
Evaluation of the impact response of textile composites
Portanova, M. A.
1995-01-01
An evaluation of the impact damage resistance and impact damage tolerance of stitched and unstitched uniweaves, 2-D braids, and 3-D weaves was conducted. Uniweave laminates were tested at four thicknesses to determine the sensitivity of the tests to this parameter. Several braid and weave parameters were also varied to establish their velocity (large mass) impacts and then loaded in tension or compression to measure residual strength. Experimental results indicate that stitching significantly improves the uniweaves' damage resistance. The 2-D braids and 3-D weaves offered less damage resistance than the stitched materials. Stitching also improved the compression after impact (CAI) and tension after impact (TAI) strengths of the uniweave materials.
Splitting rivers at their seams: bifurcations and avulsion
Kleinhans, M.G.; Ferguson, R.I.; Lane, S.N.; Hardy, R.J.
2012-01-01
River bifurcations are critical but poorly understood elements of many geomorphological systems. They are integralelements of alluvial fans, braided rivers, fluvial lowland plains, and deltas and control the partitioning of water and sediment throughthese systems. Bifurcations are commonly unstable
40 CFR 63.3310 - What definitions are used in this subpart?
2010-07-01
... undergone reconstruction as defined in § 63.2. Fabric means any woven, knitted, plaited, braided, felted, or non-woven material made of filaments, fibers, or yarns including thread. This term includes...
Andruskiewitsch, Nicolás; Yamane, Hiroyuki
2010-01-01
We discuss the relationship between Hopf superalgebras and Hopf algebras. We list the braided vector spaces of diagonal type with generalized root system of super type and give the defining relations of the corresponding Nichols algebras.
Saturn＇s Rings Reveal Unexpected Phenomena
Institute of Scientific and Technical Information of China (English)
李颖
2004-01-01
Safely in orbit around Saturn, NASA's Cassini spacecraft sent back its first close-up images of the massive planet's rings on July 1, revealing an unexpectedly varied terrain featuring surprisingly sharp edges, braids and delicate ridges.
Parity lifetime of bound states in a proximitized semiconductor nanowire
DEFF Research Database (Denmark)
Higginbotham, Andrew Patrick; Albrecht, Sven Marian; Kirsanskas, Gediminas;
2015-01-01
Quasiparticle excitations can compromise the performance of superconducting devices, causing high frequency dissipation, decoherence in Josephson qubits, and braiding errors in proposed Majorana-based topological quantum computers. Quasiparticle dynamics have been studied in detail in metallic...
Restoration of natural capital: a key strategy on the path to sustainability
Blignaut, J.N.; Aronson, J.; Groot, de R.S.
2014-01-01
Three intertwining braids or strategies to enable transition towards sustainability can be identified, namely: (i) appropriate sustainable technologies, (ii) revising behaviour including reproduction and consumption patterns, and (iii) investment in the restoration of natural capital (RNC). Less exp
Topology Explains Why Automobile Sunshades Fold Oddly
Feist, Curtis; Naimi, Ramin
2009-01-01
Automobile sunshades always fold into an "odd" number of loops. The explanation why involves elementary topology (braid theory and linking number, both explained in detail here with definitions and examples), and an elementary fact from algebra about symmetric group.
Flexible protection for metal bellows
Kimble, K. G.
1970-01-01
RTV silicone is used with a braided wire sheath surrounding the metal bellows in fluid transfer systems. It demonstrated best overall performance in flexibility and shock absorbing tests, high temperature, low temperature, and salt spray.
An $S_3$-symmetry of the Jacobi Identity for Intertwining Operator Algebras
Chen, Ling
2015-01-01
We prove an $S_{3}$-symmetry of the Jacobi identity for intertwining operator algebras. Since this Jacobi identity involves the braiding and fusing isomorphisms satisfying the genus-zero Moore-Seiberg equations, our proof uses not only the basic properties of intertwining operators, but also the properties of braiding and fusing isomorphisms and the genus-zero Moore Seiberg equations. Our proof depends heavily on the theory of multivalued analytic functions of several variables, especially the theory of analytic extensions.
Framed Wilson Operators on the Boundaries of Novel SPT Phases
Thorngren, Ryan
2014-01-01
We study topological order on the boundary of Symmetry Protected Topological Phases protected by time-reversal symmetry via the recent cobordism description of these theories. We find that the quasiparticle and quasistring excitations in these systems enjoy special braiding statistics and other properties which are determined by the behavior of certain Stiefel-Whitney classes. The statistics of quasistrings realize a recent description of loop braiding statistics in 3+1d.
1982-03-01
Equipment - Sonar Reentry Tool 29 l a n ! . . . .. . . .. . .. . I - i ll " ° - "g FIGURE 4-1 ;EEN4TRY ACCOMPLISHEZ S CARRIAGE L4NOEO I’M CCNE 30 CO6...34 POWER BRAID (23,000 PT) STEEL CABLE- POWER BRAID IARRIAGE 1" STEEL CABLE CABLE CLAP l" ARS 5/8" STRAIN RELIEF CABLE CCNE EM CABLE FIGURE 7-5 OARS
Li, Zhi Wei; Yu, Guo An; Brierley, Gary; Wang, Zhao Yin
2016-07-01
The influence of vegetation upon bedload transport and channel morphodynamics is examined along a channel stability gradient ranging from meandering to anabranching to anabranching-braided to fully braided planform conditions along trunk and tributary reaches of the Upper Yellow River in western China. Although the regional geology and climate are relatively consistent across the study area, there is a distinct gradient in the presence and abundance of riparian vegetation for these reaches atop the Qinghai-Tibet Plateau (elevations in the study area range from 2800 to 3400 m a.s.l.). To date, the influence of vegetative impacts upon channel planform and bedload transport capacity of alluvial reaches of the Upper Yellow River remains unclear because of a lack of hydrological and field data. In this region, the types and pattern of riparian vegetation vary with planform type as follows: trees exert the strongest influence in the anabranching reach, the meandering reach flows through meadow vegetation, the anabranching-braided reach has a grass, herb, and sparse shrub cover, and the braided reach has no riparian vegetation. A non-linear relation between vegetative cover on the valley floor and bedload transport capacity is evident, wherein bedload transport capacity is the highest for the anabranching reach, roughly followed by the anabranching-braided, braided, and meandering reaches. The relationship between the bedload transport capacity of a reach and sediment supply from upstream exerts a significant influence upon channel stability. Bedload transport capacity during the flood season (June-September) in the braided reach is much less than the rate of sediment supply, inducing bed aggradation and dynamic channel adjustments. Rates of channel adjustment are less pronounced for the anabranching-braided and anabranching reaches, while the meandering reach is relatively stable (i.e., this is a passive meandering reach).
Topological quantum computing with only one mobile quasiparticle.
Simon, S H; Bonesteel, N E; Freedman, M H; Petrovic, N; Hormozi, L
2006-02-24
In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparticle around n - 1 other identical quasiparticles whose positions remain fixed.
Institute of Scientific and Technical Information of China (English)
Wei Du; Zaixing Jiang; Ying Zhang; Jie Xu
2013-01-01
The Lower Permian Shanxi（山西） Formation is one of the main gas-bearing stratigraphic units in northeastern Ordos（鄂尔多斯） Basin,China.Based on an integrated investigation of well logs,cores,and outcrop,we delineated the sedimentary facies of the lower member of the Shanxi Formation and divided the succession into three third-order sequences from base to top as SQ1,SQ2,and SQ3.The lower region of Shanxi Formation was deposited in the following sedimentary facies or subfacies: subaqueous braided channel,subaqueous interdistributary,mouth bar,swamp and shelf in the Daniudi（大牛地）Gas Field and braided channel,and shelf and lake at Heidaigou（黑岱沟)outcrop.Braided-river deposits form the lowstand systems tract (LST) in each sequence.Braided channels mark the sequence boundaries at Heidaigou outcrop.A shelf and lake depositional environment with dark gray mudstone forms the transgressive systems tract (TST).The location where dark gray mudstone first appears above the braided channel marks the first flooding surface (FFS),and the end of that marks the maximum flooding surface (MFS).The highstand systems tract (HST) deposits are fine-grained sediments with an aggradational parasequence at Heidaigou outcrop and swamp coalbed in the Daniudi Gas Field.Mouth-bar sand bodies in braided delta front,which form the LST in each sequence,form excellent reservoirs in the Daniudi Gas Field.
The near centre of Doi-Hopf module category _AM (H)~C
Institute of Scientific and Technical Information of China (English)
阚海斌; 许永华
1999-01-01
It is known that any strict tensor category （ C, （?）, I） determines a braided tensor category Z（C）, the centre of C. When A is a finite dimension Hopf algebra, Drinfel’d has proved that Z（AM） is equivalent to (（D（A））M as a braided tensor category, where AM is the left A-module category and D （A） is the Drinfel’d double of A. For a braided tensor category C, the braid CU, V is a natural isomorphism for any pair of object （U, V） in C. If weakening the natural isomorphism of the braid CU, V to a natural transformation, then CU, V is a prebraid and the category C with a prebraid is called a prebraided tensor category. Similarly it can be proved that any strict tensor category C determines a prebraided tensor category Z’ （C）, the near centre of C. An interesting prebraided tensor structure of the Yetter-Drinfel’d category C#AYDC#A is given, where C # A is the smash product bialgebra of C and A. And it is proved that the near centre of Doi-Hopf module AM（H）C is equivalent to the Yetter-Dri
Design of barrier coatings on kink-resistant peripheral nerve conduits
Directory of Open Access Journals (Sweden)
Basak Acan Clements
2016-02-01
Full Text Available Here, we report on the design of braided peripheral nerve conduits with barrier coatings. Braiding of extruded polymer fibers generates nerve conduits with excellent mechanical properties, high flexibility, and significant kink-resistance. However, braiding also results in variable levels of porosity in the conduit wall, which can lead to the infiltration of fibrous tissue into the interior of the conduit. This problem can be controlled by the application of secondary barrier coatings. Using a critical size defect in a rat sciatic nerve model, the importance of controlling the porosity of the nerve conduit walls was explored. Braided conduits without barrier coatings allowed cellular infiltration that limited nerve recovery. Several types of secondary barrier coatings were tested in animal studies, including (1 electrospinning a layer of polymer fibers onto the surface of the conduit and (2 coating the conduit with a cross-linked hyaluronic acid-based hydrogel. Sixteen weeks after implantation, hyaluronic acid-coated conduits had higher axonal density, displayed higher muscle weight, and better electrophysiological signal recovery than uncoated conduits or conduits having an electrospun layer of polymer fibers. This study indicates that braiding is a promising method of fabrication to improve the mechanical properties of peripheral nerve conduits and demonstrates the need to control the porosity of the conduit wall to optimize functional nerve recovery.
Some Aspects of Mathematical and Physical Approaches for Topological Quantum Computation
Directory of Open Access Journals (Sweden)
V. Kantser
2011-10-01
Full Text Available A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin braid group -- the mathematical basis of topological quantum computation (TQC. Vector spaces of TQC correspond to associated strings of particle interactions, and TQC operates its calculations on braided strings of special physical quasiparticles -- anyons -- with non-Abelian statistics. The physical platform of TQC is to use the topological quantum numbers of such small groups of anyons as qubits and to perform operations on these qubits by exchanging the anyons, both within the groups that form the qubits and, for multi-qubit gates, between groups. By braiding two or more anyons, they acquire up a topological phase or Berry phase similar to that found in the Aharonov-Bohm effect. Topological matter such as fractional quantum Hall systems and novel discovered topological insulators open the way to form system of anyons -- Majorana fermions -- with the unique property of encoding and processing quantum information in a naturally fault-tolerant way. In the topological insulators, due to its fundamental attribute of topological surface state occurrence of the bound, Majorana fermions are generated at its heterocontact with superconductors. One of the key operations of TQC -- braiding of non-Abelian anyons: it is illustrated how it can be implemented in one-dimensional topological isolator wire networks.
Design of barrier coatings on kink-resistant peripheral nerve conduits.
Clements, Basak Acan; Bushman, Jared; Murthy, N Sanjeeva; Ezra, Mindy; Pastore, Christopher M; Kohn, Joachim
2016-01-01
Here, we report on the design of braided peripheral nerve conduits with barrier coatings. Braiding of extruded polymer fibers generates nerve conduits with excellent mechanical properties, high flexibility, and significant kink-resistance. However, braiding also results in variable levels of porosity in the conduit wall, which can lead to the infiltration of fibrous tissue into the interior of the conduit. This problem can be controlled by the application of secondary barrier coatings. Using a critical size defect in a rat sciatic nerve model, the importance of controlling the porosity of the nerve conduit walls was explored. Braided conduits without barrier coatings allowed cellular infiltration that limited nerve recovery. Several types of secondary barrier coatings were tested in animal studies, including (1) electrospinning a layer of polymer fibers onto the surface of the conduit and (2) coating the conduit with a cross-linked hyaluronic acid-based hydrogel. Sixteen weeks after implantation, hyaluronic acid-coated conduits had higher axonal density, displayed higher muscle weight, and better electrophysiological signal recovery than uncoated conduits or conduits having an electrospun layer of polymer fibers. This study indicates that braiding is a promising method of fabrication to improve the mechanical properties of peripheral nerve conduits and demonstrates the need to control the porosity of the conduit wall to optimize functional nerve recovery.
Factorization of differential expansion for non-rectangular representations
Morozov, A
2016-01-01
Factorization of the differential expansion coefficients for HOMFLY-PT polynomials of double braids, discovered in arXiv:1606.06015 in the case of rectangular representations $R$, is extended to the first non-rectangular representations $R=[2,1]$ and $R=[3,1]$. This increases chances that such factorization will take place for generic $R$, thus fixing the shape of the DE. We illustrate the power of the method by conjecturing the DE-induced expression for double-braid polynomials for all $R=[r,1]$. In variance with rectangular case, the knowledge for double braids is not fully sufficient to deduce the exclusive Racah matrix $\\bar S$ -- the entries in the sectors with non-trivial multiplicities sum up and remain unseparated. Still a considerable piece of the matrix can be directly extracted and can be used as a base for new speculations and insights.
Yetter-Drinfeld modules for Hom-bialgebras
Energy Technology Data Exchange (ETDEWEB)
Makhlouf, Abdenacer, E-mail: Abdenacer.Makhlouf@uha.fr [Université de Haute Alsace, Laboratoire de Mathématiques, Informatique et Applications, 4, rue des frères Lumière, F-68093 Mulhouse (France); Panaite, Florin, E-mail: Florin.Panaite@imar.ro [Institute of Mathematics of the Romanian Academy, PO-Box 1-764, RO-014700 Bucharest (Romania)
2014-01-15
The aim of this paper is to define and study Yetter-Drinfeld modules over Hom-bialgebras, a generalized version of bialgebras obtained by modifying the algebra and coalgebra structures by a homomorphism. Yetter-Drinfeld modules over a Hom-bialgebra with bijective structure map provide solutions of the Hom-Yang-Baxter equation. The category H/HYD of Yetter-Drinfeld modules with bijective structure maps over a Hom-bialgebra H with bijective structure map can be organized, in two different ways, as a quasi-braided pre-tensor category. If H is quasitriangular (respectively, coquasitriangular) the first (respectively, second) quasi-braided pre-tensor category H/HYD contains, as a quasi-braided pre-tensor subcategory, the category of modules (respectively, comodules) with bijective structure maps over H.
Khovanov-Rozansky homology via Cohen-Macaulay approximations and Soergel bimodules
Becker, Hanno
2011-01-01
This is the author's diploma thesis. We describe a simplification in the construction of Khovanov-Rozansky's categorification of quantum sl(n) link homology using the theory of maximal Cohen-Macaulay modules over hypersurface singularities and the combinatorics of Soergel bimodules. More precisely, we show that the matrix factorizations associated to basic MOY-graphs equal Cohen-Macaulay approximations of certain Soergel bimodules, and prove that taking Cohen-Macaulay approximation commutes with tensor products as long as the MOY-graph under consideration does not possess oriented cycles. It follows that the matrix factorization associated to a MOY-braid equals the Cohen-Macaulay approximation of the Soergel bimodule corresponding to the endofunctor on BGG-category O associated to the braid by Mazorchuk and Stroppel. This reduces certain computations in the category of matrix factorizations to known combinatorics of the Hecke-algebra. Finally, we describe braid closure as some kind of Hochschild cohomology an...
Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
Pithis, Andreas G A
2014-01-01
In this article we investigate the role played by large diffeomorphisms of quantum Isolated Horizons for the statistics of LQG Black Holes by means of their relation to the braid group. To this aim the symmetries of Chern-Simons theory are recapitulated with particular regard to the aforementioned type of diffeomorphisms. For the punctured spherical horizon, these are elements of the mapping class group of $S^2$, which is almost isomorphic to a corresponding braid group on this particular manifold. The mutual exchange of quantum entities in $2$-dimensions is communicated by the braid group, rendering the statistics anyonic. With this we argue that the quantum Isolated Horizon model of LQG based on $SU(2)_k$-Chern-Simons theory exhibits non-abelian anyonic statistics. In this way a connection to theory behind the fractional quantum Hall effect and that of topological quantum computation is established, where non-abelian anyons play a significant role.
Topological Optimization of Rod Mixers
Finn, Matthew D.; Thiffeault, Jean-Luc
2006-11-01
Stirring of fluid with moving rods is necessary in many practical applications to achieve homogeneity. These rods are topological obstacles that force stretching of fluid elements. The resulting stretching and folding is commonly observed as filaments and striations, and is a precursor to mixing. In a space-time diagram, the trajectories of the rods form a braid [1], and the properties of this braid impose a minimal complexity in the flow. We discuss how optimal mixing protocols can be obtained by a judicious choice of braid, and how these protocols can be implemented using simple gearing [2].[12pt] [1] P. L. Boyland, H. Aref, and M. A. Stremler, JFM 403, 277 (2000).[8pt] [2] J.-L. Thiffeault and M. D. Finn, http://arxiv.org/nlin/0603003
Clifford Hopf-gebra and Bi-universal Hopf-gebra
Oziewicz, Z
1997-01-01
We consider a pair of independent scalar products, one scalar product on vectors, and another independent scalar product on dual space of co-vectors. The Clifford co-product of multivectors is calculated from the dual Clifford algebra. With respect to this co-product unit is not group-like and vectors are not primitive. The Clifford product and the Clifford co-product fits to the bi-gebra with respect to the family of the (pre)-braids. The Clifford bi-gebra is in a braided category iff at least one of these scalar products vanish.
Increasing the visibility of thin NITINOL vascular implants
Directory of Open Access Journals (Sweden)
Boese A.
2015-09-01
Full Text Available New implants for vascular therapy like flow diverters are made of tiny braided wires. The radio opacity of these wires is poor, which makes assessment of implant expansion and exact positioning difficult. Additional markers only allow the estimation of the current device position, but they also induce artefacts that impair the assessment during the intervention and in follow-up examination. A new strategy to increase implant visibility is the braiding of composite wires with a radiopaque core along the whole implant. This paper shows some useful combinations of these new wires on a phantom study with five vascular implants.
On fundamental groups related to the Hirzebruch surface F1
Institute of Scientific and Technical Information of China (English)
Michael; FRIEDMAN; Mina; TEICHER
2008-01-01
Given a projective surface and a generic projection to the plane,the braid monodromy factorization（and thus,the braid monodromy type）of the complement of its branch curve is one of the most important topological invariants,stable on deformations.From this factorization,one can compute the fundamental group of the complement of the branch curve,either in C2 or in CP2.In this article,we show that these groups,for the Hirzebruch surface F1,（a,b）,are almost-solvable.That is, they are an extension of a solvable group,which strengthen the conjecture on degeneratable surfaces.
Handbook of Analytical Methods for Textile Composites
Cox, Brian N.; Flanagan, Gerry
1997-01-01
The purpose of this handbook is to introduce models and computer codes for predicting the properties of textile composites. The handbook includes several models for predicting the stress-strain response all the way to ultimate failure; methods for assessing work of fracture and notch sensitivity; and design rules for avoiding certain critical mechanisms of failure, such as delamination, by proper textile design. The following textiles received some treatment: 2D woven, braided, and knitted/stitched laminates and 3D interlock weaves, and braids.
Development and evaluation of polybenzoxazole fibrous structures
Orndoff, Evelyne
1995-01-01
Woven and braided polybenzoxazole (PBO) structures have been developed for aerospace applications. The properties of PBO fibers are compared to those of other high performance fibers. PBO is unique for combining excellent flammability properties with the highest tensile strength and modulus of all synthetic organic fibers. The PBO structures are specifically developed to be compared to similar Kevlar structures. The physical, mechanical, thermal, and oxidative properties of the PBO woven and braided structures are determined. The resistance to various chemicals and to UV light is evaluated. Recommendations for specific aerospace applications are given with comments for further development and industrial applications.
New Public Key Cryptosystems from Combinatorial Group Theory
Institute of Scientific and Technical Information of China (English)
TANG Xueming; WANG Xiaofei; HONG Fan; CUI Guohua
2006-01-01
External direct product of some low layer groups such as braid groups and general Artin groups, with a kind of special group action on it, provides a secure cryptographic computation platform, which can keep secure in the quantum computing epoch. Three hard problems on this new platform, Subgroup Root Problem, Multi-variant Subgroup Root Problem and Subgroup Action Problem are presented and well analyzed, which all have no relations with conjugacy. New secure public key encryption system and key agreement protocol are designed based on these hard problems. The new cryptosystems can be implemented in a general group environment other than in braid or Artin groups.
Wilson loop invariants from WN conformal blocks
Directory of Open Access Journals (Sweden)
Oleg Alekseev
2015-12-01
Full Text Available Knot and link polynomials are topological invariants calculated from the expectation value of loop operators in topological field theories. In 3D Chern–Simons theory, these invariants can be found from crossing and braiding matrices of four-point conformal blocks of the boundary 2D CFT. We calculate crossing and braiding matrices for WN conformal blocks with one component in the fundamental representation and another component in a rectangular representation of SU(N, which can be used to obtain HOMFLY knot and link invariants for these cases. We also discuss how our approach can be generalized to invariants in higher-representations of WN algebra.
On fundamental groups related to the Hirzebruch surface F1
Institute of Scientific and Technical Information of China (English)
Michael FRIEDMAN; Mina TEICHER
2008-01-01
Given a.projective surface and a generic projection to the plane,the braid monodromy factorization (and thus,the braid monodromy type) of the complement of its branch curve is one of the most important topological invariants,stable on deformations.From this factorization,one can compute the fundamental group of the complement of the branch curve,either in C2 or in CP2.In this article,we show that these groups,for the Hirzebruch surface F1,(a,b),are almost-solvable.That is,they are an extension of a solvable group,which strengthen the conjecture on degeneratable surfaces.
Simulation of non-Abelian anyons using ribbon operators connected to a common base site
Energy Technology Data Exchange (ETDEWEB)
Luo Xiwang; Han Yongjian; Guo Guangcan; Zhou Xingxiang; Zhou Zhengwei [Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026 (China)
2011-11-15
A convenient and effective way in the quantum double model to study anyons in a topological space with a tensor product structure is to create and braid anyons using ribbon operators connected to a common base site [A. Kitaev, Ann. Phys. (NY) 303, 2 (2003)]. We show how this scheme can be simulated in a physical system by constructing long ribbon operators connected to a base site that is placed far away. We describe how to move and braid anyons using these ribbon operators, and how to perform measurement on them. We also give the smallest scale of a system that is sufficient for proof-of-principle demonstration of our scheme.
Multi-parameter Burau representations
Mohammad N. Abdulrahim; Madline Al- Tahan; Samer S. Habre
2013-01-01
We consider the multi-parameter representation of Artin's braid group introduced by D. D. Long and J. P. Tian, namely $\\alpha: B_{n}\\rightarrow GL_{m}(C)$, where $m=n!n$ . First, we show that there exists a complex specialization of the multi-parameter representation that does not arise from any Hecke algebra. Second, we find conditions under which the images of the generators of the braid group on three strings under the multi-parameter representation are unitary relative to a nonsingular he...
Fault-tolerant quantum random-number generator certified by Majorana fermions
Deng, Dong-Ling; Duan, Lu-Ming
2013-07-01
Braiding of Majorana fermions gives accurate topological quantum operations that are intrinsically robust to noise and imperfection, providing a natural method to realize fault-tolerant quantum information processing. Unfortunately, it is known that braiding of Majorana fermions is not sufficient for the implementation of universal quantum computation. Here we show that topological manipulation of Majorana fermions provides the full set of operations required to generate random numbers by way of quantum mechanics and to certify its genuine randomness through violation of a multipartite Bell inequality. The result opens a perspective to apply Majorana fermions for the robust generation of certified random numbers, which has important applications in cryptography and other related areas.
Mapping spaces and automorphism groups of toric noncommutative spaces
Barnes, Gwendolyn E; Szabo, Richard J
2016-01-01
We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application we study the `internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.
Reconstruction of weak quasi-Hopf algebras
Häring, Reto Andreas
1995-01-01
All rational semisimple braided tensor categories are representation categories of weak quasi Hopf algebras. To proof this result we construct for any given category of this kind a weak quasi tensor functor to the category of finite dimensional vector spaces. This allows to reconstruct a weak quasi Hopf algebra with the given category as its representation category.
Splitting rivers at their seams: bifurcations and avulsion
Kleinhans, M.G.; Ferguson, R.I.; Lane, S.N.; Hardy, R.J.
2012-01-01
River bifurcations are critical but poorly understood elements of many geomorphological systems. They are integral elements of alluvial fans, braided rivers, fluvial lowland plains, and deltas and control the partitioning of water and sediment through these systems. Bifurcations are commonly unstabl
Symmetric webs, Jones-Wenzl recursions and q-Howe duality
DEFF Research Database (Denmark)
Rose, David; Tubbenhauer, Daniel
We define and study the category of symmetric sl2-webs. This category is a combinatorial description of the category of all finite dimensional quantum sl2-modules. Explicitly, we show that (the additive closure of) the symmetric sl2-spider is (braided monoidally) equivalent to the latter. Our main...
40 CFR 63.4371 - What definitions apply to this subpart?
2010-07-01
..., braided, felted, or non-woven material made of filaments, fibers, or yarns including thread. This term... exception of cleaning material applied to the substrate using handheld, non-refillable aerosol containers... operations in an affected source. Coating material application with handheld, non-refillable...
Formation of a cohesive floodplain in a dynamic experimental meandering river
Dijk, W.M. van; Lageweg, W.I. van de; Kleinhans, M.G.
2013-01-01
Field studies suggest that a cohesive floodplain is a necessary condition for meandering in contrast to braided rivers. However, it is only partly understood how the balance between floodplain construction by overbank deposition and removal by bank erosion and chutes leads to meandering. This is nee
Thermoforming of Textile Composite Pipe Fittings
Ozaki, Jun-Ichi; Manabe, Ken-Ichi
Thermoforming of braided thermoplastic composite tubes was carried out in order to clarify the mechanism of the thermoforming process for pipe fittings such as T-shape fittings, cross fittings and two-branch fittings. The composite tube was made of a cowoven braid that consists of a carbon braid and polyamide resin, and 4-ply tubes with initial fiber orientations of 18° and 26° are used in the experiment. The branch is formed with not only the fisherman's net effect but also with moving yarns along the longitudinal direction in every forming process. The results show that the deformation behavior of the braid is very complex. Therefore, fiber orientation through forming is also greatly changed. Wall thickness at the branch decreases with increasing branch height. From these results, it is found that a fitting with complex shape can be produced by thermoforming. T-shape fittings, cross fittings and two-branch fittings are achieved by this process. It is confirmed that moving yarns along the longitudinal direction plays an important role in branch forming of pipe fittings.
Weak Galois and Weak Cocleft Coextensions
Institute of Scientific and Technical Information of China (English)
J.N. Alonso (A)lvarez; J.M. Fernández Vilaboa; R. González Rodríguez; A.B. Rodríguez Raposo
2007-01-01
For a weak entwining structure (A, C,ψ) living in a braided monoidal category with equalizers and coequalizers, we formulate the notion of weak A-Galois coextension with normal basis and we show that these Galois coextensions are equivalent to the weak A-cocleft coextensions introduced by the authors.
Universal Form of Renormalizable Knots in Symbolic Dynamics
Institute of Scientific and Technical Information of China (English)
GAO Wen; PENG Shou-Li
2005-01-01
@@ The knot structure of three-dimensional flow has been constructed based on minimal braid assumption [Chin. Phys. Lett. 20 (2003) 1444]. Here we provide a new universal form of renormalizable knots. From this universal form an arbitrary renormalizable knot can be decomposed into a unique set of elementary templates.
Berenbrock, Charles E.
2015-01-01
Reduction of cross-sectional data using a genetic algorithm method, and the effects of data reduction on channel geometry and steady-flow profiles, were analyzed. Two reduction methods─standard and genetic algorithms─were used to reduce cross-sectional data from the Kootenai River in northern Idaho. Cross sections that are representative of meander, straight, braided, and canyon reaches were used to evalutate the reduction methods. Visual and hydraulic analyses were used to assess the methods. The genetic algorithm-reduced cross sections approximated the shape of the original cross sections better than the standard-reduced cross sections. A greater number of cross-sectional data points were needed for reduced cross sections in the straight reach, and even more in the braided reach, because a greater amount of data points are needed to adequately define cross sections that have greater topographic varability. For the genetic algorithm-reduction method, about 40 data points were needed to adequately define the shape of a reduced cross section in the braided reach compared to 10 to 20 data points in the meander and canyon reaches. The standard-reduction method needed about 70 data points for the braided reach and more than 30 points for the meander and canyon reaches. The genetic algorithm can effectively reduce data while staying within the threshold set by the maximum number of points to be included in the reduced dataset.
Twisting theory for weak Hopf algebras
Institute of Scientific and Technical Information of China (English)
CHEN Ju-zhen; ZHANG Yan; WANG Shuan-hong
2008-01-01
The main aim of this paper is to study the twisting theory of weak Hopf algebras and give an equivalence between the (braided) monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf algebra to generalize the result from Oeckl (2000).
Łydżba, P.; Jacak, J.
2017-01-01
In this paper, we recall the topological approach to quantum Hall effects. We note that, in the presence of a magnetic field, trajectories representing elements of the system's braid group are of cyclotron orbit type. In two-dimensional spaces, this leads to the restriction of the full braid group, π1(Ω)-loopless generators (exchanges of MN coordinates or classical particles) are unenforceable. As a result, the identification of a possible Hall-like state comes down to the identification of a possible subgroup of π1(Ω). The latter follows from the connection between the one-dimensional unitary representation of the system's braid group and particle statistics (unavoidable for any correlated state). In this work, we implement the topological approach to derive the lowest Landau-level pyramid of fillings. We point out that it contains all mysterious odd-denominator filling factors-like 4/11 , 4/13 or 6/17 -not trivial to explain within the standard picture. We also introduce, explicitly, cyclotron subgroup generators for all derived fractions. Preliminary results on wave functions, supported by several Monte Carlo calculations, are presented. It is worth emphasizing that not all proposed many-body functions are purely antisymmetric-they, however, transform in agreement with the scalar representations of the system's braid group. The latter is enforced by standard quantization methods.
46 CFR 181.320 - Fire hoses and nozzles.
2010-10-01
... a good commercial grade constructed of an inner rubber tube, plies of braided fabric reinforcement.... (b) On a vessel of not more than 19.8 meters (65 feet) in length carrying more than 49 passengers, and on a vessel of more than 19.8 meters (65 feet) in length, each hose must: (1) Be lined...
The Geometric Invariants of Group Extensions Part II: Split Extensions
Koban, Nic
2011-01-01
We compute the {\\Omega}^1(G) invariant when 1 {\\to} H {\\to} G {\\to} K {\\to} 1 is a split short exact sequence. We use this result to compute the invariant for pure and full braid groups on compact surfaces. Applications to twisted conjugacy classes and to finite generation of commutator subgroups are also discussed.
Processing investigation and optimization for hybrid thermoplastic composites
Institute of Scientific and Technical Information of China (English)
M Tufail
2007-01-01
A thermoplastic based composite material is suitable for automobile and aerospace applications. The recyclability of thermoplastic and clean processing further enhance its use. The only limitation encountered in using this material is its high-melt viscosity. Various techniques have been developed to overcome this problem. Commingled materials are one of such methods adopted for making proper use of thermoplastic. A major problem observed during the use of a commingled material is its de-commingling, wherein, the uniform distribution of fiber and thermoplastic yarn gets disturbed and affects the final quality of the composite. The effects of the braiding process on laminate quality were investigated. Flat plaques were produced by braiding the commingled yarn, using a 48-carrier braiding machine. The braids (and control woven samples) were subsequently heated and consolidated in a nonisothermal compression molding operation. Prior to the manufacture of the 'best quality' plaques, a series of moldings were produced under different consolidation conditions, to study the dependence of properties on the process variables. This enabled a processing window to be established for each material and helped to separate the respective effects of yarn handling, textile processing, and consolidation on laminate properties.
Effect of the barrage and embankments on flooding and channel avulsion case study Koshi River, Nepal
Devkota, L.; Crosato, A.; Giri, S.
2012-01-01
Humans have utilized water resources for millennia by modifying natural river courses and such interventions have greatly influenced not only river flows and sediment fluxes, but also the overall river morphology. Situated in the Nepal's eastern Ganges region, the braided Koshi River is unique among
Łydżba, P; Jacak, J
2017-01-01
In this paper, we recall the topological approach to quantum Hall effects. We note that, in the presence of a magnetic field, trajectories representing elements of the system's braid group are of cyclotron orbit type. In two-dimensional spaces, this leads to the restriction of the full braid group, π1(Ω)-loopless generators (exchanges of M(N) coordinates or classical particles) are unenforceable. As a result, the identification of a possible Hall-like state comes down to the identification of a possible subgroup of π1(Ω). The latter follows from the connection between the one-dimensional unitary representation of the system's braid group and particle statistics (unavoidable for any correlated state). In this work, we implement the topological approach to derive the lowest Landau-level pyramid of fillings. We point out that it contains all mysterious odd-denominator filling factors-like [Formula: see text], [Formula: see text] or [Formula: see text]-not trivial to explain within the standard picture. We also introduce, explicitly, cyclotron subgroup generators for all derived fractions. Preliminary results on wave functions, supported by several Monte Carlo calculations, are presented. It is worth emphasizing that not all proposed many-body functions are purely antisymmetric-they, however, transform in agreement with the scalar representations of the system's braid group. The latter is enforced by standard quantization methods.
$W_4$ Toda example as hidden Liouville CFT
Furlan, P
2016-01-01
We construct correlators in the $W_4$ Toda 2d conformal field theory for a particular class of representations and demonstrate a relation to a $W_2$ (Virasoro) theory with different central charge. The relevance of the classical limits of the constructed 3-point functions and braiding matrices to problems in 4d conformal theories is discussed.
Digital Repository Service at National Institute of Oceanography (India)
Laluraj, C.M.; Gopinath, G.; DineshKumar, P.K.; Balachandran, K.K.
is controlled by the productivity of the overlying water column. The evolution of this island is believed to be due to fluvial inputs from Muvattupuzha River. The braid shape of the island is attributed to the high-energy flow along the wedge of the estuary...
Jucys-Murphy elements for Birman-Murakami-Wenzl algebras
Isaev, A. P.; Ogievetsky, O. V.
2011-05-01
The Burman-Wenzl-Murakami algebra, considered as the quotient of the braid group algebra, possesses the commutative set of Jucys-Murphy elements. We show that the set of Jucys-Murphy elements is maximal commutative for the generic Birman-Wenzl-Murakami algebra and reconstruct the representation theory of the tower of Birman-Wenzl-Murakami algebras.
Endomorphism Algebras of Tensor Powers of Modules for Quantum Groups
DEFF Research Database (Denmark)
Andersen, Therese Søby
the group algebra of the braid group to the endomorphism algebra of any tensor power of the Weyl module with highest weight 2. We take a first step towards determining the kernel of this map by reformulating well-known results on the semisimplicity of the Birman-Murakami-Wenzl algebra in terms of the order...
Log jams and flood sediment buildup caused channel avulsion in the Pennsylvanian of Atlantic Canada
DEFF Research Database (Denmark)
Gibling, Martin R; Bashforth, Arden Roy; Falcon-Lang, Howard J;
2010-01-01
channels. The logs include lycopsids, calamiteans, tree ferns, pteridosperms and cordaitaleans, inferred to have grown on inactive braided tracts near the channels. A compaction estimate suggests that one log accumulation was originally more than four times its present thickness. Most accumulations...
Improved numerical modelling of morphodynamics of rivers with steep banks
The flow and sediment transport processes near steep streambanks, which are commonly found in meandering, braided, and anastomosing stream systems, exhibit complex patterns. The interactions between bed and bank morphologic adjustment, and their governing processes are still not well understood. Inc...
Pollock, Mica
2013-01-01
Background/Context: In this essay, I propose a design research agenda that braids equity research and technology research in education. More specifically, I propose that researchers join educators, youth, families, and community partners in tackling a central challenge for education research today: figuring out how and when low-cost and…
Directory of Open Access Journals (Sweden)
Ching-Wen Lou
2015-12-01
Full Text Available In order to solve the incompatibility between high porosity and mechanical properties, this study fabricates bone scaffolds by combining braids and sodium alginate (SA membranes. Polyethylene terephthalate (PET plied yarns are braided into hollow, porous three dimensional (3D PET braids, which are then immersed in SA solution, followed by cross-linking with calcium chloride (CaCl2 and drying, to form PET bone scaffolds. Next, SA membranes are rolled and then inserted into the braids to form the spiral and porous PET/SA bone scaffolds. Samples are finally evaluated for surface observation, porosity, water contact angle, compressive strength, and MTT assay. The test results show that the PET bone scaffolds and PET/SA bone scaffolds both have good hydrophilicity. An increasing number of layers and an increasing CaCl2 concentration cause the messy, loose surface structure to become neat and compact, which, in turn, decreases the porosity and increases the compressive strength. The MTT assay results show that the cell viability of differing SA membranes is beyond 100%, indicating that the PET/SA bone scaffolds containing SA membranes are biocompatible for cell attachment and proliferation.
Gilstrap, Robert L.
1994-01-01
Reviews five books: "Garbage Pizza, Patchwork Quilts and Math Magic" (Ohanian), about elementary math instruction; "Ready for What?" (Graue), on school readiness; "The Braid of Literature: Children's Worlds of Reading" (Wolf and Heath); "The Best Years of Their Lives" (Zvirin), a book of resources for teenagers; and "Teaching and Learning in the…
29 CFR 1910.308 - Special systems.
2010-07-01
... installation. This treated braid covering shall be stripped back a safe distance at conductor terminals... installations located indoors shall consist of metal-enclosed units or fire-resistant cell-mounted units. In..., or similar fitting with conductors of electric light, power, Class 1, nonpower-limited fire...
q-Deformation of Lorentzian spin foam models
Fairbairn, Winston J
2011-01-01
We construct and analyse a quantum deformation of the Lorentzian EPRL model. The model is based on the representation theory of the quantum Lorentz group with real deformation parameter. We give a definition of the quantum EPRL intertwiner, study its convergence and braiding properties and construct an amplitude for the four-simplexes. We find that the resulting model is finite.
2011-11-08
... applicable law, subject to further consideration after public comment. This rule has been determined to be...) canine chew bones. (d) A set of two rope loops covered with protective tubing. A set of two pieces of poly braid rope covered with light duty garden hose or similar flexible tubing each tied or...
Chen, Wen-Cheng; Ko, Chia-Ling; Yang, Jia-Kai; Wu, Hui-Yu; Lin, Jia-Horng
2016-03-01
An attempt to maintain the three-dimensional space into restorative sites through the conveniently pack porous fillers are general used strategy. Advancement in the manufacturing protective shells in the scaffolds, which would be filled with brittle ceramic grafts for the development of highly connective pores provides the approach to solve crack problem for generating the tissues. Therefore, multilayered braided and alkalized poly(lactic acid) (PLA) composites with calcium phosphate bone cement (CPC) were synthesized and compared. The PLA/CPC composites were divided into various groups according to a series of heat-treatment temperatures (100-190 °C) and periods (1-3 h) and then characterized. The effects of 24-h immersion on the strength decay resistance of the samples were compared. Results showed that the residual oil capped on the surfaces of alkalized PLA braid was removed, and the structure was unaltered. However, the reduced tensile stress of alkalized PLA braids was due to ester-group formation by hydrolysis. Mechanical test results of PLA/CPC composites showed that the strength significantly increased after heat treatment, except when the heating temperature was higher than the PLA melting point at approximately 160-170 °C. The degree of PLA after recrystallization became higher than that of unheated composites, thereby leading to reduced strength and toughness of the specimen. Braiding fibers of biodegradable PLA reinforced and toughened the structure particularly of the extra-brittle material of thin-sheet CPC after implantation.
Using tangles to quantify topological mixing of fluids
Chen, Qianting; Sattari, Sulimon; Mitchell, Kevin
2014-11-01
Topological mixing is important in understanding complex fluid problems, ranging from oceanic transport to the design of micro-mixers. Typically, topological entropy (TE), the exponential growth rate of material lines, is used to quantify topological mixing. Computing TE from the direct stretching rate is computationally expensive and sheds little light on the source of the mixing. Previous work has focused on braiding by ``ghost rods'' (See, e.g. works by Boyland, Aref, Stremler, Tiffeault, and Finn). Following Grover et al. [Chaos 22, 043135 (2012)], we study topological mixing in a two-dimensional lid-driven cavity flow. For a certain parameter range, the TE is dominated by a period-3 braid. However, this braid alone cannot explain all the TE within this range, nor the TE outside the range of existence of the braid. By contrast, we explain TE through the topology of intersecting stable and unstable manifolds, i.e. heteroclinic tangles, using homotopic lobe dynamics (HLD). In the HLD approach, stirring originates from ``ghost rods'' placed on heteroclinic orbits. We demonstrate that these heteroclinic orbits generate excess TE not accounted for in Grover et al. Furthermore, in the limit of utilizing arbitrarily long manifolds, the HLD technique converges to the true TE. Supported by the US National Science Foundation under Grant PHY-0748828.
Hyperbolic semi-adequate links
Futer, David; Kalfagianni, Efstratia; Purcell, Jessica S.
2013-01-01
We provide a diagrammatic criterion for semi-adequate links to be hyperbolic. We also give a conjectural description of the satellite structures of semi-adequate links. One application of our result is that the closures of sufficiently complicated positive braids are hyperbolic links.
A Cohomology Theory for Commutative Monoids
Directory of Open Access Journals (Sweden)
María Calvo-Cervera
2015-10-01
Full Text Available Extending Eilenberg–Mac Lane’s cohomology of abelian groups, a cohomology theory is introduced for commutative monoids. The cohomology groups in this theory agree with the pre-existing ones by Grillet in low dimensions, but they differ beyond dimension two. A natural interpretation is given for the three-cohomology classes in terms of braided monoidal groupoids.
Excellent Ballistic Impact Properties Demonstrated By New Fabric
Pereira, J. Michael; Revilock, Duane M.; Hopkins, Dale A.
2002-01-01
Recently, a relatively new industrial fiber known by the trade name Zylon has been under commercial development by Toyobo Co., Ltd., Japan. In ballistic impact tests conducted at the NASA Glenn Research Center, it was found that dry fabric braided of Zylon had greater ballistic impact capacity than comparable (braid style and weight) fabric braided of Kevlar. To study the potential use of Zylon fabric in jet engine containment systems, the fabric was tested in Glenn's Structures and Acoustics Division Ballistic Impact Facility under conditions simulating those which occur in a jet engine blade-out event. Circular ring test specimens were fabricated by wrapping five layers of braided Zylon or Kevlar fabric around an inner ring made of a thin sheet of aluminum and a 1-in.-thick layer of aluminum honeycomb. The test specimens had an inner diameter of 40 in., an axial length of 10 in., and a wall thickness of approximately 1.5in. A test specimen is shown in the photograph.
2010-10-01
... couplings. (v) Loose or missing bolts or fastenings on bolted hose coupling assemblies. (2) No operator may... actuate. (iv) Rubber hose flexible connectors with any condition outlined in paragraph (g)(1) of this section. (v) Stainless steel flexible connectors with damaged reinforcement braid. (vi) Internal...
Fluvial adjustments to soil erosion and plant cover changes in the Central Spanish Pyrenees
Beguería, S.; López-Moreno, J.I.; Gómez-Villar, A.; Rubio, V.; Lana-Renault, N.; García-Ruiz, J.M.
2007-01-01
Until the middle of the 20th Century, Pyrenean rivers were characterized by braided channels, unstable sedimentary structures and an almost complete lack of plant cover in the alluvial plain, due to the high sediment yield in hillslopes and the occurrence of frequent and intense flooding. This was p
Colored HOMFLY polynomials can distinguish mutant knots
Nawata, Satoshi; Singh, Vivek Kumar
2015-01-01
We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY polynomials with multiplicity structure can detect mutations. As an example, we explicitly evaluate the (2,1)-colored HOMFLY polynomials that distinguish a famous mutant pair, Kinoshita-Terasaka and Conway knot.
A secure method of nasal endotracheal tube stabilization with suture and rubber tube.
Ota, Y; Karakida, K; Aoki, T; Yamazaki, H; Arai, I; Mori, Y; Nakatogawa, N; Suzuki, T
2001-12-01
A new method of stabilizing the nasal endotrascheal tube was described. The tube was secured to the anterior portion of the nasal septum with braided silk thread, which was tightened over the rubber tube to keep air route of the cuff open. There found no complications such as unplanned extubation, necrosis and infections of the nasal septum.
Meandering rivers - feedbacks between channel dynamics, floodplain and vegetation
van Dijk, W.M.
2013-01-01
Rivers have distinctive channel patterns such as multi-channel braiding and single-channel meandering. Why these different river patterns emerge is only qualitatively understood. Yet, we have not been able to retain dynamic meandering in laboratory experiments. The main objective of this thesis was
Experimental meandering river with chute cutoffs
Dijk, W.M. van; Lageweg, W.I. van de; Kleinhans, M.G.
2012-01-01
Braided rivers are relatively simple to produce in the laboratory, whereas dynamic meandering rivers have not been sustained beyond initial bend formation. Meandering is theoretically explained by bend instability growing from planimetric perturbation, which convects downstream. In this study, we ex
Pressurizable structures comprising different surface sections
Koussios, S.; Bergsma, O.K.; Beukers, A.
2004-01-01
The invention relates to composite pressurizable structures which are overwound with fibres or are braided. The pressurizable structures comprise axial sections which in turn comprise both concave and convex surfaces. The shape characteristics are related to geodesic as well as non-geodesic trajecto
A Tow-Level Progressive Damage for Simulating Carbon-Fiber Textile Composites: Interim Report
Energy Technology Data Exchange (ETDEWEB)
Zywicz, E.
2000-07-01
A numerical approach to model the elasto-plastic and tensile damage response of tri-axially braided carbon-fiber polymeric-matrix composites is developed. It is micromechanically based and consists of a simplified unit cell geometry, a plane-stress tow-level constitutive relationship, a one-dimensional undulation constitutive law, and a non-traditional shell element integration rule. The braided composite lamina is idealized as periodic in the plane, and a simplified three-layer representative volume (RV) is assembled from axial and braider tows and pure resin regions. The constituents in each layer are homogenized with an iso-strain assumption in the fiber-direction and an iso-stress condition in the other directions. In the upper and lower layers, the fiber-direction strain is additively decomposed into an undulation and a tow portion. A finite-deformation tow model predicts the plane-stress tow response and is coupled to the undulation constitutive relationship. The overall braid model is implemented in DYNA3D and works with traditional shell elements. The finite-deformation tow constitutive relationship is derived from the fiber elasticity and the isotropic elasto-plastic power-law hardening matrix response using a thermodynamic framework and simple homogenization assumptions. The model replicates tensile damage evolution, in a smeared sense, parallel and perpendicular to the fiber axis and is regularized to yield mesh independent results. The tow-level model demonstrates reasonable agreement, prior to damage, with detailed three-dimensional FE (finite element) elasto-plastic simulations of aligned, periodically arranged, uni-directional composites. The 3-layer braid model response is compared with predictions obtained from detailed micromechanical simulations of the braid's unit cell in uni-axial extension, shear, and flexure for three braid angles. The elastic properties show good agreement as does the non-linear response for loadings dominated by the
Zebdi, Oussama
High performance composites reinforced by woven or braided fabrics have several different applications in various fields such as in the aerospace, automobile and marine industry. This research project was carried out at the Ecole Polytechnique de Montreal in collaboration with an industrial sponsor, the company Composites Atlantic Ltd. Composite springs often represent an interesting alternative, given the reduction in weight that they allow with equal mechanical performance compared to metallic springs. Their good resistance to fatigue and corrosion bring additional benefits in several industrial applications. Moreover, the use of the composites increases safety by avoiding the risks of brutal rupture because of the low propagation velocity of cracks in this type of material. Lastly, in electrotechnics, another significant advantage comes into play because of the electrical insulation capability of composite springs. Few research results can be found on composite springs in the scientific literature. The first part of this thesis studies the problems connected with the design of composite springs. The results are promising, because it was confirmed that composite springs can be devised with the same mechanical performance in term of stiffness as metallic ones. Two solutions were found to replace the metallic springs of the suspension of a four wheel drive: the first spring was in carbon-epoxy, and the second one in glass-epoxy. In the second part, software was developed in order to devise a new approach to predict the mechanical properties of woven or braided composites. This work shows how an inverse method based on plate laminate theory allows creating, from experimental results on braided composites, a virtual basic ply that includes the effect of fiber architecture (undulation and braiding angle). Using this model, the properties of the composite can be predicted for any braid angle. The comparison with the experimental results shows a good correlation with
Institute of Scientific and Technical Information of China (English)
无
2000-01-01
Detailed studies of petrology, palaeocurrent direction, palaeogeomorphology and palaeohydrodynamics have been conducted for the Permian-Triassic Cangfanggou Group in the foredeep of the Bogda Mountains in the southeastern Junggar Basin, Xinjiang. Sedimentary environments and facies of alluvial fans and pebbly braided rivers, sandy braided rivers, meandering rivers, low-sinuosity rivers, swamps and fresh-water lakes are recognized in the group. Climate and tectonics of source areas strongly controlled the evolution of the sedimentary environments and facies in the foredeep. The block faulting in the Bogda Mountains increased the ground slope, which led to a drastic increase in the grain size of the sediments.Humid climate, being beneficial to plant growth, would provide protection of channel banks and at the same time weaken chemical weathering in the source area,thus large amounts of clay materials are available for the formation of clay plugs. As a resuit, stable banks and meandering river belts are formed. Conversely, increasing aridity would strengthen mechanical weathering and reduce the mumber of clay plugs.Besides, plants would diminish gradually and channels would become more mobile. In this casc the decrease of transported clay materials would reduce the stability of the bank and result in a wider and shallower channel. Therefore, humid climate is beneficial to the formation of meandering rivers even if there is strong block faulting in the source areas and the ground slope is very large. As aridity further increases, plants would diminish and vanish at last,the meandering rivers prevalent under humid climate conditions would be transformed to low-sinuosity rivers even if the ground is gentle and the land is tectonically stable. And as the climate became more arid and the source area uplifted intensively to provide more sedimentary materials, low-sinuosity' rivers would be transformed to braided ones quickly, and wedge-like sedimentary bodies of the braided
Energy Technology Data Exchange (ETDEWEB)
Sick, M. [Lawrence Livermore National Lab., CA (United States)
1994-12-01
The Lawrence Livermore National Laboratory (LLNL) site rests upon 300-400 feet of highly heterogeneous braided stream sediments which have been contaminated by a plume of Volatile Organic Compounds (VOCs). The stream channels are filled with highly permeable coarse grained materials that provide quick avenues for contaminant transport. The plume of VOCs has migrated off site in the TFA area, making it the area of greatest concern. I mapped the paleo-stream channels in the TFA area using SLICE an LLNL Auto-CADD routine. SLICE constructed 2D cross sections and sub-horizontal views of chemical, geophysical, and lithologic data sets. I interpreted these 2D views as a braided stream environment, delineating the edges of stream channels. The interpretations were extracted from Auto-CADD and placed into Earth Vision`s 3D modeling and viewing routines. Several 3D correlations have been generated, but no model has yet been chosen as a best fit.
Climatic response of Quaternary alluvial deposits in the upper Kali Gandaki valley (West Nepal)
Monecke, Katrin; Winsemann, Jutta; Hanisch, Jörg
2001-02-01
The terraces at the confluence of Kali Gandaki and Miristi Khola (West Nepal) consist of coarse-grained deposits which are considered to be Late Pleistocene to Holocene in age. The stacking pattern of lithofacies is characterised by an alternation of fluvial and debris flow deposits. These periodic changes in sedimentation processes are attributed to climatic variations. Deposits of extended, highly mobile, braided rivers most probably developed under glacial conditions and reflect high sediment supply and high water discharge rates. Deposits of small, only moderately braided river systems evolved during a warmer climate with comparatively low sediment supply and water discharge rates. The mobilisation and redeposition of morainic material by enormous debris flows predominately occurred at the beginning of a warm period and was triggered by earthquakes, glacier lake outburst floods or strong monsoonal rain.
Milestones toward Majorana-based quantum computing (Conference Presentation)
Mishmash, Ryan V.; Aasen, David; Hell, Michael; Higginbotham, Andrew; Danon, Jeroen; Leijnse, Martin; Jespersen, Thomas S.; Folk, Joshua A.; Marcus, Charles M.; Flensberg, Karsten; Alicea, Jason
2016-10-01
We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used in quantum-dot experiments, including gate-control of tunnel barriers and Coulomb effects, charge sensing, and charge pumping. We outline a sequence of milestones interpolating between zero-mode detection and quantum computing that includes (1) detection of fusion rules for non-Abelian anyons using either proximal charge sensors or pumped current; (2) validation of a prototype topological qubit; and (3) demonstration of non-Abelian statistics by braiding in a branched geometry. The first two milestones require only a single wire with two islands, and additionally enable sensitive measurements of the system's excitation gap, quasiparticle poisoning rates, residual Majorana zero-mode splittings, and topological-qubit coherence times. These pre-braiding experiments can be adapted to other manipulation and readout schemes as well.
The three-dimensional evolution of a plane mixing layer - The Kelvin-Helmholtz rollup
Rogers, Michael M.; Moser, Robert D.
1992-01-01
The hydrodynamic evolution of an incompressible plane mixing layer is addressed to elucidate scalar mixing in free shear flows. A detailed description of the onset of three-dimensionality in a mixing layer before or in the absence of pairing is presented. Various simulations were performed to investigate the sensitivity of these results to variations in initial conditions. These variations included changes in amplitude, wavelength, functional form, and relative phasing of the initial low-wavenumber disturbances. Pierrehumber and Widnall's (1982) translative instability eigenfunctions are found to include rib vortices in the braid region and oppositely signed streamwise vorticity in the roller core. The translative instability is an instability of the late-time oversaturated flow. Three-dimensional perturbation growth similar to that of the translative instability can occur whenever spanwise vorticity is present in the braid region. The nonlinear effects that occur when the initial rib circulation is sufficiently high are discussed.
Test methods for textile composites
Minguet, Pierre J.; Fedro, Mark J.; Gunther, Christian K.
1994-01-01
Various test methods commonly used for measuring properties of tape laminate composites were evaluated to determine their suitability for the testing of textile composites. Three different types of textile composites were utilized in this investigation: two-dimensional (2-D) triaxial braids, stitched uniweave fabric, and three-dimensional (3-D) interlock woven fabric. Four 2-D braid architectures, five stitched laminates, and six 3-D woven architectures were tested. All preforms used AS4 fibers and were resin-transfer-molded with Shell RSL-1895 epoxy resin. Ten categories of material properties were investigated: tension, open-hole tension, compression, open-hole compression, in-plane shear, filled-hole tension, bolt bearing, interlaminar tension, interlaminar shear, and interlaminar fracture toughness. Different test methods and specimen sizes were considered for each category of test. Strength and stiffness properties obtained with each of these methods are documented in this report for all the material systems mentioned above.
Quench properties of high current superconductors
Energy Technology Data Exchange (ETDEWEB)
Garber, M; Sampson, W B
1980-01-01
A technique has been developed which allows the simultaneous determination of most of the important parameters of a high current superconductor. The critical current, propagation velocity, normal state resistivity, magnetoresistance, and enthalpy are determined as a function of current and applied field. The measurements are made on non-inductive samples which simulate conditions in full scale magnets. For wide, braided conductors the propagation velocity was found to vary approximately quadratically with current in the 2 to 5 kA region. A number of conductors have been tested including some Nb/sub 3/Sn braids which have critical currents in excess of 10 kA at 5 T, 4.2 K.
Topological quantum gate construction by iterative pseudogroup hashing
Energy Technology Data Exchange (ETDEWEB)
Burrello, Michele; Mussardo, Giuseppe [International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste (Italy); Wan Xin, E-mail: burrello@sissa.it, E-mail: mussardo@sissa.it [Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 790-784 (Korea, Republic of)
2011-02-15
We describe the hashing technique for obtaining a fast approximation of a target quantum gate in the unitary group SU(2) represented by a product of the elements of a universal basis. The hashing exploits the structure of the icosahedral group (or other finite subgroups of SU(2)) and its pseudogroup approximations to reduce the search within a small number of elements. One of the main advantages of the pseudogroup hashing is the possibility of iterating to obtain more accurate representations of the targets in the spirit of the renormalization group approach. We describe the iterative pseudogroup hashing algorithm using the universal basis given by the braidings of Fibonacci anyons. An analysis of the efficiency of the iterations based on the random matrix theory indicates that the runtime and braid length scale poly-logarithmically with the final error, comparing favorably to the Solovay-Kitaev algorithm.
Affine and degenerate affine BMW algebras: Actions on tensor space
Daugherty, Zajj; Virk, Rahbar
2012-01-01
The affine and degenerate affine Birman-Murakami-Wenzl (BMW) algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic quantum groups and Lie algebras, respectively. Cyclotomic BMW algebras, affine and cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper we explain how the affine and degenerate affine BMW algebras are tantalizers (tensor power centralizer algebras) by defining actions of the affine braid group and the degenerate affine braid algebra on tensor space and showing that, in important cases, these actions induce actions of the affine and degenerate affine BMW algebras. We then exploit the connection to quantum groups and Lie algebras to determine universal parameters for the affine and degenerate affine BMW algebras. Finally, we show that the universal parameters are central elements--the higher Casimir elements for orthogonal and symplectic enveloping algebras and quantum groups.
A bladder-free, non-fluidic, conductive McKibben artificial muscle operated electro-thermally
Sangian, Danial; Foroughi, Javad; Farajikhah, Syamak; Naficy, Sina; Spinks, Geoffrey M.
2017-01-01
Fluidic McKibben artificial muscles that operate pneumatically or hydraulically provide excellent performance, but require bulky pumps/compressors, valves and connecting lines. Use of a pressure generating material, such as thermally expanding paraffin wax, can eliminate the need for these pumps and associated infrastructure. Here we further develop this concept by introducing the first bladderless McKibben muscle wherein molten paraffin is contained by surface tension within a tailored braid. Incorporation of electrically conductive wires in the braid allows for convenient Joule heating of the paraffin. The muscle is light (0.14 g) with a diameter of 1.4 mm and is capable of generating a tensile stress of 50 kPa (0.039 N) in 20 s. The maximum contraction strain of 10% (7.6 kPa given load) was achieved in 60 s with an applied electrical power of 0.35 W.
The center of the category of bimodules and descent data for non-commutative rings
Agore, A L; Militaru, G
2011-01-01
Let $A$ be an algebra over a commutative ring $k$. We compute the center of the category of A-bimodules. There exist five isomorphic descriptions: the center equals the weak center, and can be described as categories of noncommutative descent data, comodules over the Sweedler's canonical $A$-coring or Yetter-Drinfeld type modules. We provide several applications: for instance, if $A$ is finitely generated projective over $k$ then the category of left $End_{k}(A)$-modules is braided monoidal and we give an explicit description of the braiding in terms of the finite dual basis of $A$. As another application, a new family of solutions for the quantum Yang-Baxter equation is constructed.
Measurement of AC losses in different former materials
DEFF Research Database (Denmark)
Olsen, Søren Krüger; Træholt, Chresten; Kühle, Anders Van Der Aa
1998-01-01
A high temperature superconducting cable may be based on a centrally located cylindrical support, a so-called former. If electrically conductive, the former can contribute to the AC losses through eddy current losses caused by unbalanced axial and tangential magnetic fields. With these measurements...... we aim at investigating the eddy current losses of commonly used former materials. A one layer cable conductor was wound on a glass fibre reinforced polymer (GRFP) former. By inserting a variety of materials into this, it was possible to measure the eddy current losses of each of the former...... candidates separately; for example copper tubes, stainless steel braid, copper braid, corrugated stainless steel tubes, etc. The measured data are compared with the predictions of a theoretical model. Our results show that in most cases, the losses induced by eddy currents in the former are negligible...
Topological quantum gate construction by iterative pseudogroup hashing
Burrello, Michele; Mussardo, Giuseppe; Wan, Xin
2011-02-01
We describe the hashing technique for obtaining a fast approximation of a target quantum gate in the unitary group SU(2) represented by a product of the elements of a universal basis. The hashing exploits the structure of the icosahedral group (or other finite subgroups of SU(2)) and its pseudogroup approximations to reduce the search within a small number of elements. One of the main advantages of the pseudogroup hashing is the possibility of iterating to obtain more accurate representations of the targets in the spirit of the renormalization group approach. We describe the iterative pseudogroup hashing algorithm using the universal basis given by the braidings of Fibonacci anyons. An analysis of the efficiency of the iterations based on the random matrix theory indicates that the runtime and braid length scale poly-logarithmically with the final error, comparing favorably to the Solovay-Kitaev algorithm.
Institute of Scientific and Technical Information of China (English)
WANG Aijun; AO Qiang; HE Qing; GONG Xiaoming; GONG Kai; GONG Yandao; ZHAO Nanming; ZHANG Xiufang
2006-01-01
Neural stem cells (NSCs) are currently considered as powerful candidate seeding cells for regeneration of both spinal cords and peripheral nerves. In this study, NSCs derived from fetal rat cortices were co-cultured with chitosan to evaluate the cell affinity of this material. The results showed that NSCs grew and proliferated well on chitosan films and most of them differentiated into neuron-like cells after 4 days of culture. Then, molded and braided chitosan conduits were fabricated and characterized for their cytotoxicity, swelling, and mechanical properties. Both types of conduits had no cytotoxic effects on fibroblasts (L929 cells) or neuroblastoma (Neuro-2a) cells. The molded conduits are much softer and more flexible while the braided conduits possess much better mechanical properties, which suggests different potential applications.
Manipulating Majorana zero modes on atomic rings with an external magnetic field
Li, Jian; Neupert, Titus; Bernevig, B. Andrei; Yazdani, Ali
2016-01-01
Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a non-trivial change of the quantum state of the system. The simplest non-Abelian quasiparticles--the Majorana bound states--can occur in one-dimensional electronic nano-structures proximity-coupled to a bulk superconductor. Here we propose a set-up, based on chains of magnetic adatoms on the surface of a thin-film superconductor, in which the control over an externally applied magnetic field suffices to create and manipulate Majorana bound states. We consider specifically rings of adatoms and show that they allow for the creation, annihilation, adiabatic motion and braiding of pairs of Majorana bound states by varying the magnitude and orientation of the external magnetic field.
Makeup your mind: The impact of styling on perceived competence and warmth of female leaders.
Klatt, Jennifer; Eimler, Sabrina C; Krämer, Nicole C
2016-01-01
Women are still underrepresented at the highest management levels. The think-manager-think-male phenomenon suggests that leadership is associated with male rather than female attributes. Although styling has been shown to influence the evaluation of women's leadership abilities, the relevant specific features have been left remarkably unaddressed. In a 2 × 2 × 2 × 2 (skirt/pants, with/without jewelry, loose hair/braid, with/without makeup) between-subjects design, 354 participants evaluated a woman in a photograph. Women with makeup, pants, or with jewelry were rated as more competent than women without makeup, with skirts, or without jewelry. A combination of loose hair and no makeup was perceived as warmest, and women with loose hair were more likely to be hired than those with braids. In sum, even subtle changes in styling have a strong impact on how women's leadership abilities are evaluated.
Comments on the kinetic dynamo
Energy Technology Data Exchange (ETDEWEB)
Fowler, T.K.
1995-08-24
It is conjectured that transport by parallel mass flow in a braided magnetic field, rather than hyper-resistivity, drives the dynamo effect after stochasticity is established. In this paper the authors do not attempt a rigorous proof of this conjecture, which requires showing that braiding introduces correlations analogous to those giving rise to the neoclassical bootstrap current. The authors do offer plausible arguments for the conjecture and show that it leads to interesting consequences if true. Namely, magnetic fluctuations would then scale with the magnetic Reynolds number S like {tilde B}/B {approximately} S{sup {minus}1/2} and the Rechester-Rosenbluth thermal diffusivity like {chi}e {proportional_to} S{sup {minus}1} . This scaling would explain the highest temperatures obtained in the CTX spheromak. It also suggests that a fully-bootstrapped current drive experiment could be carried out on-the DIII-D tokamak.
Barnes, Gwendolyn E; Szabo, Richard J
2014-01-01
We systematically study noncommutative and nonassociative algebras A and their bimodules as algebras and bimodules internal to the representation category of a quasitriangular quasi-Hopf algebra. We enlarge the morphisms of the monoidal category of A-bimodules by internal homomorphisms, and describe explicitly their evaluation and composition morphisms. For braided commutative algebras A the full subcategory of symmetric A-bimodule objects is a braided closed monoidal category, from which we obtain an internal tensor product operation on internal homomorphisms. We describe how these structures deform under cochain twisting of the quasi-Hopf algebra, and apply the formalism to the example of deformation quantization of equivariant vector bundles over a smooth manifold. Our constructions set up the basic ingredients for the systematic development of differential geometry internal to the quasi-Hopf representation category, which will be tackled in the sequels to this paper, together with applications to models o...
Some combinatorial models for reduced expressions in Coxeter groups
Denoncourt, Hugh
2011-01-01
Stanley's formula for the number of reduced expressions of a permutation regarded as a Coxeter group element raises the question of how to enumerate the reduced expressions of an arbitrary Coxeter group element. We provide a framework for answering this question by constructing combinatorial objects that represent the inversion set and the reduced expressions for an arbitrary Coxeter group element. The framework also provides a formula for the length of an element formed by deleting a generator from a Coxeter group element. Fan and Hagiwara, et al$.$ showed that for certain Coxeter groups, the short-braid avoiding elements characterize those elements that give reduced expressions when any generator is deleted from a reduced expression. We provide a characterization that holds in all Coxeter groups. Lastly, we give applications to the freely braided elements introduced by Green and Losonczy, generalizing some of their results that hold in simply-laced Coxeter groups to the arbitrary Coxeter group setting.
Topological fluid mechanics of point vortex motions
Boyland, P; Aref, H; Boyland, Philip; Stremler, Mark; Aref, Hassan
1999-01-01
Topological techniques are used to study the motions of systems of point vortices in the infinite plane, in singly-periodic arrays, and in doubly-periodic lattices. The reduction of each system using its symmetries is described in detail. Restricting to three vortices with zero net circulation, each reduced system is described by a one degree of freedom Hamiltonian. The phase portrait of this reduced system is subdivided into regimes using the separatrix motions, and a braid representing the topology of all vortex motions in each regime is computed. This braid also describes the isotopy class of the advection homeomorphism induced by the vortex motion. The Thurston-Nielsen theory is then used to analyse these isotopy classes, and in certain cases strong conclusions about the dynamics of the advection can be made.
Embedding the Bilson-Thompson model in an LQG-like framework
Vaid, Deepak
2010-01-01
We argue that the Quadratic Spinor Lagrangian approach allows us to approach the problem of forming a geometrical condensate of spinorial tetrads in a natural manner. This, along with considerations involving the discrete symmetries of lattice triangulations, lead us to discover that the quasiparticles of such a condensate are tetrahedra with braids attached to its faces and that these braid attachments correspond to the preons in Bilson-Thompson's model of elementary particles. These "spatoms" can then be put together in a tiling to form more complex structures which encode both geometry and matter in a natural manner. We conclude with some speculations on the relation between this picture and the computational universe hypothesis.
Influence of thermofixation on artificial ACL ligament dimensional and mechanical properties
Ben Abdessalem, S.; Jedda, H.; Skhiri, S.; Karray, S.; Dahmen, J.; Boughamoura, H.
2005-11-01
The anterior cruciate ligament (ACL) is the major articular ligamentous structure of the knee, it functions as a joint stabilizer. When ruptured, the natural ACL ligament can be replaced by a textile synthetic ligament such as a braid, knitted cord, or woven cord. Theses structures are composed of biocompatible materials such as polyester or Gore-Tex filaments. The success of an ACL replacement is widely linked to its mechanical and dimensional properties such as tensile strength, dimensional stability and resistance to abrasion. We introduced an additional treatment in the manufacturing of textile ACL ligaments based on the thermofixation of the textile structure by using textile industry stabilization techniques. Boiling water, saturated vapor and dry heat have been tested to stabilize a braided ligament made of Dacron polyester. The application of these three techniques led to shrinkage and an increase of breaking strength of the textile structure.
Towards effective topological field theory for knots
Mironov, A
2015-01-01
Construction of (colored) knot polynomials for double-fat graphs is further generalized to the case when "fingers" and "propagators" are substituting R-matrices in arbitrary closed braids with m-strands. Original version of arXiv:1504.00371 corresponds to the case m=2, and our generalizations sheds additional light on the structure of those mysterious formulas. Explicit expressions are now combined from Racah matrices of the type $R\\otimes R\\otimes\\bar R\\longrightarrow \\bar R$ and mixing matrices in the sectors $R^{\\otimes 3}\\longrightarrow Q$. Further extension is provided by composition rules, allowing to glue two blocks, connected by an m-strand braid (they generalize the product formula for ordinary composite knots with m=1).
Fault tolerant quantum random number generator certified by Majorana fermions
Deng, Dong-Ling; Duan, Lu-Ming
2013-03-01
Braiding of Majorana fermions gives accurate topological quantum operations that are intrinsically robust to noise and imperfection, providing a natural method to realize fault-tolerant quantum information processing. Unfortunately, it is known that braiding of Majorana fermions is not sufficient for implementation of universal quantum computation. Here we show that topological manipulation of Majorana fermions provides the full set of operations required to generate random numbers by way of quantum mechanics and to certify its genuine randomness through violation of a multipartite Bell inequality. The result opens a new perspective to apply Majorana fermions for robust generation of certified random numbers, which has important applications in cryptography and other related areas. This work was supported by the NBRPC (973 Program) 2011CBA00300 (2011CBA00302), the IARPA MUSIQC program, the ARO and the AFOSR MURI program.
Quantum Walks of SU(2)_k Anyons on a Ladder
Lehman, L; Brennen, G K
2012-01-01
We study the effects of braiding interactions on single anyon dynamics using a quantum walk model on a quasi-1-dimensional ladder filled with stationary anyons. The model includes loss of information of the coin and nonlocal fusion degrees of freedom on every second time step, such that the entanglement between the position states and the exponentially growing auxiliary degrees of freedom is lost. The computational complexity of numerical calculations reduces drastically from the fully coherent anyonic quantum walk model, allowing for relatively long simulations for anyons which are spin-1/2 irreps of SU(2)_k Chern-Simons theory. We find that for Abelian anyons, the walk retains the ballistic spreading velocity just like particles with trivial braiding statistics. For non-Abelian anyons, the numerical results indicate that the spreading velocity is linearly dependent on the number of time steps. By approximating the Kraus generators of the time evolution map by circulant matrices, it is shown that the spatial...
Milestones Toward Majorana-Based Quantum Computing
Aasen, David; Hell, Michael; Mishmash, Ryan V.; Higginbotham, Andrew; Danon, Jeroen; Leijnse, Martin; Jespersen, Thomas S.; Folk, Joshua A.; Marcus, Charles M.; Flensberg, Karsten; Alicea, Jason
2016-07-01
We introduce a scheme for preparation, manipulation, and read out of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used in quantum-dot experiments, including gate control of tunnel barriers and Coulomb effects, charge sensing, and charge pumping. We outline a sequence of milestones interpolating between zero-mode detection and quantum computing that includes (1) detection of fusion rules for non-Abelian anyons using either proximal charge sensors or pumped current, (2) validation of a prototype topological qubit, and (3) demonstration of non-Abelian statistics by braiding in a branched geometry. The first two milestones require only a single wire with two islands, and additionally enable sensitive measurements of the system's excitation gap, quasiparticle poisoning rates, residual Majorana zero-mode splittings, and topological-qubit coherence times. These pre-braiding experiments can be adapted to other manipulation and read out schemes as well.
On Ternary Quotients of Cubic Hecke Algebras
Cabanes, Marc; Marin, Ivan
2012-08-01
We prove that the quotient of the group algebra of the braid group introduced by Funar (Commun Math Phys 173:513-558, 1995) collapses in characteristic distinct from 2. In characteristic 2 we define several quotients of it, which are connected to the classical Hecke and Birman-Wenzl-Murakami quotients, but which admit in addition a symmetry of order 3. We also establish conditions on the possible Markov traces factorizing through it.
Hall effect, edge states, and Haldane exclusion statistics in two-dimensional space
Ye, F.; Marchetti, P. A.; Su, Z. B.; Yu, L.
2015-12-01
We clarify the relation between two kinds of statistics for particle excitations in planar systems: the braid statistics of anyons and the Haldane exclusion statistics (HES). It is shown nonperturbatively that the HES exists for incompressible anyon liquid in the presence of a Hall response. We also study the statistical properties of a specific quantum anomalous Hall model with Chern-Simons term by perturbation in both compressible and incompressible regimes, where the crucial role of edge states to the HES is shown.
Topology of algebraic curves an approach via dessins d'enfants
Degtyarev, Alex
2012-01-01
The book summarizes the state and new results on the topology of trigonal curves in geometrically ruled surfaces. Emphasis is placed upon various applications of the theory to related areas, most notably singularplane curves of small degree, elliptic surfaces, and Lefschetz fibrations (both complex and real), and Hurwitz equivalence of braid monodromy factorizations. The monograph conveys recent knowledge about related objects and is of interest to researchers and graduate students in the fields of topology and of complex and real algebraic varieties.
Microvascular Autonomic Composites
2012-01-06
characterization of carbon nanotube yarns , 3-D braids, and their composites. SAMPE Journal 43: 6-19. Bogdanovich A and Mohamed MH. 2009. Three-Dimensional... carbon in red and bromine in yellow. The fracture surfaces were analyzed by SEM to show film was indistinguishable from the matrix, but by using the...single walled capsules (Cho et al. 2006). Compared to examples from literature (Li et al. 2008), our method simplifies the synthesis of these
An Ideal Design for an Idea Processor.
1986-09-01
Braid, and in The Mind’s Eye (with Daniel Dennett ), ignited my interest in conceptual aspects of the human mind. On the practical side, it was while...factors studies traditionally cover more specific processes of the human mind, such as memory and perception . Research on communication is typically more...understanding of perception , memory, motivation, and other aspects of human thought. However, the specific activities involved in composing have not been
On the relation between the modular double of U{sub q}(sl(2,R)) and the quantum Teichmueller theory
Energy Technology Data Exchange (ETDEWEB)
Nidaiev, Iurii; Teschner, Joerg
2013-02-15
We exhibit direct relations between the modular double of U{sub q}(sl(2,R)) and the quantum Teichmueller theory. Explicit representations for the fusion- and braiding operations of the quantum Teichmueller theory are immediate consequences. Our results include a simplified derivation of the Clebsch-Gordan decomposition for the principal series of representation of the modular double of U{sub q}(sl(2,R)).
Directory of Open Access Journals (Sweden)
Sardenberg Trajano
2003-01-01
Full Text Available Surgical materials of monofilament nylon (0, 3-0 and 4-0, braided polyester (0, 3-0 and 4-0 and monofilament polypropylene (0, 3-0 and 4-0 of 7 trademarks commercialized in Brazil, was submitted to analysis of diameter, length, enchasement resistance, tensile strength of surgery materials knotted and unknotted, according to ABNT. The results show that most of surgical materials was inside of preconizing patterns of ABNT.
Exum, Daniel B.; Ilias, S.; Avva, V. S.; Sadler, Bob
1997-01-01
The techniques necessary for the fabrication of a complex three-dimensional tubular form using a PMR-type resin have been developed to allow for the construction of several tubes with good physical and mechanical properties. Employing established resin transfer molding practices, the relatively non-hazardous AMB-21 in acetone formulation was used to successfully impregnate four layers of AS4 braided graphite fiber preform previously loaded around an aluminum cylindrical core in an enclosed mold cavity. Using heat and vacuum, the solvent was evaporated to form a prepreg followed by a partial imidization and removal of condensation products. The aluminum core was replaced by a silicone rubber bladder and the cure cycle continued to the final stage of 550 F with a bladder internal pressure of 200 lbs/sq in while simultaneously applying a strong vacuum to the prepreg for removal of any additional imidization products. A combination of several modifications to the standard resin transfer molding methodology enabled the mold to 'breathe', allowing the imidization products a pathway for escape. AMB-21 resin was chosen because of the carcinogenic nature of the primary commercial polyimide PMR-15. The AMB-21 resin was formulated using commercially available monomers or monomer precursors and dissolved in a mixture of methyl alcohol and acetone. The viscosity of the resulting monomer solution was checked by use of a Brookfield rheometer and adjusted by adding acetone to an easily pumpable viscosity of about 600 cP. In addition, several types of chromatographic and thermal analyses were of the braids, and excess handling of the preforms broke some of the microscopic fibers, needlessly decreasing the strength of the finished part. In addition, three dimensional braided preforms with fibers along the length of the tube will be significantly stronger in tension than the braided preforms used in this study.
The Quantum Sine Gordon model in perturbative AQFT
Bahns, Dorothea
2016-01-01
We study the Sine Gordon model in the framework of perturbative algebraic quantum field theory, without making use of a representation on Fock space. In particular, we calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the vacuum expectation value of the Epstein Glaser $S$-matrix and the interacting current, both given as formal power series, converge in a suitable topology on the space of functionals.
New Types of Artificial Muscles for Large Stroke and High Force Applications
2012-10-10
functional. This technology enables yarn weaving , sewing, knotting, braiding, and charge collection. Also towards the goal of providing a continuous...control of actuator displacement is greatly complicated by the dependence of actuation on prior history within a cycle. This history dependence is...contracting guest materials would alter yarn length and diameter to open or close textile pores, thereby increasing comfort or protection against
Fiber-Level Modeling of Dynamic Strength of Kevlar (registered trademark) KM2 Ballistic Fabric
2012-07-01
systems). Flexible lightweight materials have been used, throughout history , in body-armor systems to provide protection against specified threats, at...focused on fibers and the associated materials, it should be recognized that flexible-armor structures are made of fabric/ textiles containing these...specific patterns through weaving or braiding processes. It is important to note that fabric ballistic-penetration resistance is influenced not only by
Superanalysis on quantum spaces
Energy Technology Data Exchange (ETDEWEB)
Schmidt, Alexander [Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig (Germany); Arnold-Sommerfeld-Center, Ludwig-Maximilians-Universitaet, Theresienstr. 37, D-80333 Munich (Germany); Wachter, Hartmut [Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig (Germany); Arnold-Sommerfeld-Center, Ludwig-Maximilians-Universitaet, Theresienstr. 37, D-80333 Munich (Germany)
2006-01-15
Attention is focused on antisymmetrised versions of quantum spaces that are of particular importance in physics, i.e. Manin plane, q-deformed euclidean space in three or four dimensions as well as q-deformed Minkowski space. For each of these quantum spaces we provide q-analogs for elements of superanalysis, i.e. Grassmann integrals, Grassmann exponentials, Grassmann translations and braided products with supernumbers.
Associativity as Commutativity
Dosen, K.; Petric, Z.
2005-01-01
It is shown that coherence conditions for monoidal categories concerning associativity are analogous to coherence conditions for symmetric or braided strictly monoidal categories, where associativity arrows are identities. Mac Lane's pentagonal coherence condition for associativity is decomposed into conditions concerning commutativity, among which we have a condition analogous to naturality and a degenerate case of Mac Lane's hexagonal condition for commutativity. This decomposition is analo...
A Practical Cryptanalysis of the Algebraic Eraser
Ben-Zvi, Adi; Blackburn, Simon R; Tsaban, Boaz
2015-01-01
Anshel, Anshel, Goldfeld and Lemieaux introduced the Colored Burau Key Agreement Protocol (CBKAP) as the concrete instantiation of their Algebraic Eraser scheme. This scheme, based on techniques from permutation groups, matrix groups and braid groups, is designed for lightweight environments such as RFID tags and other IoT applications. It is proposed as an underlying technology for ISO/IEC 29167-20. SecureRF, the company owning the trademark Algebraic Eraser, has presented the scheme to the ...
Quantum walled Brauer algebra: commuting families, Baxterization, and representations
Semikhatov, A. M.; Tipunin, I. Yu
2017-02-01
For the quantum walled Brauer algebra, we construct its Specht modules and (for generic parameters of the algebra) seminormal modules. The latter construction yields the spectrum of a commuting family of Jucys-Murphy elements. We also propose a Baxterization prescription; it involves representing the quantum walled Brauer algebra in terms of morphisms in a braided monoidal category and introducing parameters into these morphisms, which allows constructing a ‘universal transfer matrix’ that generates commuting elements of the algebra.
Shaanxi Youth Folk Art Troupe Performs at Los Angeles Disneyland
Institute of Scientific and Technical Information of China (English)
Liu; Tong
2015-01-01
At the central square of Disneyland in Los Angeles during the Chinese Spring Festival,a group of Chinese children wearing horn-shaped braids or white towel kerchiefs on their heads performed the waist-drum dance to the rhythm of typical northern Shaanxi folk music.The wonderful performance given by the Shaanxi Youth Folk Art Troupe at Disneyland was part of a cultural exchange with the United States
Effect of Cold Plasma Treatment on the Mechanical Properties of RTM Composites
Institute of Scientific and Technical Information of China (English)
无
2003-01-01
Cold plasma technology was used to treat the surface of carbon fibers braided by PET in this paper and SEM wasused to analyze the fracture microstructure of composite interlaminar shear stress (ILSS). The result shows that thesurface polarity of carbon fibers was modified by cold plasma treatment, which increases the impregnation of PETbraided carbon fibers during the process of resin flowing, improves the interfacial properties of RTM composites, andtherefore enhances the mechanical properties of the KTM composites.
Elucidation of differential mineralisation on native and regenerated silk matrices.
Midha, Swati; Tripathi, Rohit; Geng, Hua; Lee, Peter D; Ghosh, Sourabh
2016-11-01
Bone mineralisation is a well-orchestrated procedure triggered by a protein-based template inducing the nucleation of hydroxyapatite (HA) nanocrystals on the matrix. In an attempt to fabricate superior nanocomposites from silk fibroin, textile braided structures made of natively spun fibres of Bombyx mori silkworm were compared against regenerated fibroin (lyophilized and films) underpinning the influence of intrinsic properties of fibroin matrices on HA nucleation. We found that native braids could bind Ca(2+) ions through electrostatic attraction, which initiated the nucleation and deposition of HA, as evidenced by discrete shift in amide peaks via ATR-FTIR. This phenomenon also suggests the involvement of amide linkages in promoting HA nucleation on fibroin. Moreover, CaCl2-SBF immersion of native braids resulted in preferential growth of HA along the c-axis, forming needle-like nanocrystals and possessing Ca/P ratio comparable to commercial HA. Though regenerated lyophilized matrix also witnessed prominent peak shift in amide linkages, HA growth was restricted to (211) plane only, albeit at a significantly lower intensity than braids. Regenerated films, on the other hand, provided no crystallographic evidence of HA deposition within 7days of SBF immersion. The present work sheds light on the primary fibroin structure of B. mori which probably plays a crucial role in regulating template-induced biomineralisation on the matrix. We also found that intrinsic material properties such as surface roughness, geometry, specific surface area, tortuosity and secondary conformation exert influence in modulating the extent of mineralisation. Thus our work generates useful insights and warrants future studies to further investigate the potential of bone mimetic, silk/mineral nanocomposite matrices for orthopaedic applications.
Institute of Scientific and Technical Information of China (English)
刘琪; 潘晓东; 李凤杰
2011-01-01
根据野外露头、岩心观察及录井、测井资料,研究了柴北缘西段新近系上干柴沟组沉积相类型和沉积特征.结果表明:上干柴沟组发育冲积扇、扇三角洲、辫状河、辫状河三角洲、湖泊及颗粒流等六种沉积相类型,其中在鄂博梁-冷湖-潜西发育了一套扇三角洲-湖泊沉积体系,在马海-南八仙地区发育冲积扇-辫状河-辫状河三角洲-湖泊沉积体系.%The examination of the sedimentary facies is based on the field outcrops, core observation and well logs for the Neogene Upper Ganchaigou Formation on the northern margin of the Qaidam Basin, Qinghai. The Upper Ganchaigou Formation is built up of the alluvial fan, fan delta, braided stream, braided delta, lacustrine facies and grain flow deposits. Two depositional systems have been recognized, including the fan delta-lacustrine depositional system in the Eboliang-Lenghu-Qianxi zone, and alluvial fan-braided stream-braided delta-lacustrine depositional system in the Mahai-Nanbaxian zone. The results of research in the western part of the northern margin of the Qaidam Basin may provide reliable geological information for further petroleum exploration.
Noncommutative Lightweight Signcryption for Wireless Sensor Networks
Lize Gu; Yun Pan; Mianxiong Dong; Kaoru Ota
2013-01-01
Key management techniques for secure wireless-sensor-networks-based applications must minimally incorporate confidentiality, authenticity, integrity, scalability, and flexibility. Signcryption is the proper primitive to do this. However, existing signcryption schemes are heavyweight and not suitable for resource-limited sensors. In this paper, we at first propose a braid-based signcryption scheme and then develop a key establishment protocol for wireless sensor networks. From the complexity v...
Digital Repository Service at National Institute of Oceanography (India)
Choudhary, R.; Gowthaman, R.; SanilKumar, V.
-494 #02060313 Copyright ©2013 CAFET-INNOVA TECHNICAL SOCIETY. All rights reserved. Shoreline change detection from Karwar to Gokarna - South West coast of India using remotely Sensed data RICHA CHOUDHARY 1 , R. GOWTHAMAN 2 AND V. SANIL KUMAR 2 1... years period. Gangavali river mouth has narrowed due to siltation. Significant changes in the geomorphic features like spit growth, braided island, creeks, tidal flat are observed near Kali and Gangavali river mouth. Keywords: Remote sensing...
Topological fluid mechanics of point vortex motions
1999-01-01
Topological techniques are used to study the motions of systems of point vortices in the infinite plane, in singly-periodic arrays, and in doubly-periodic lattices. The reduction of each system using its symmetries is described in detail. Restricting to three vortices with zero net circulation, each reduced system is described by a one degree of freedom Hamiltonian. The phase portrait of this reduced system is subdivided into regimes using the separatrix motions, and a braid representing the ...
Jet Engine Control Using Ethernet with a BRAIN (Postprint)
2008-07-01
of isolation against environment or system faults, such as ground faults or lightning (e.g. by being able to be transformer coupled). Interlocking...Braided Ring Availability Integrity Network. SAE World Congress. Paper No 2007-01-1492. 2007. [IEC04] IEC . “Real Time Ethernet Control Automation...Technology (EtherCAT)”, Proposal for a Publicly Available Specification for Real-Time Ethernet, document IEC , 65C/355/NP, Date of circulation: 2004
A Combinatorial interpretation of Hofstadter's G-sequence
Rahman, Mustazee
2011-01-01
We give a combinatorial interpretation of a classical meta-Fibonacci sequence defined by G(n) = n - G(G(n-1)) with the initial condition G(1) = 1, which appears in Hofstadter's 'Godel, Escher, Bach: An Eternal Golden Braid'. The interpretation is in terms of an infinite labelled tree. We then show a few corollaries about the behaviour of the sequence G(n) directly from the interpretation.
Biologically-Inspired Micro-Robots. Volume 1. Robots Based on Crickets
2007-11-02
5.3 Mesh The mesh was woven using a microdeiner polyester yarn made up of a bundle of non-twisted or braided strains of the polyester . The strains...20. Actuator Parts One of the problems with this construction was the extremely slippery behavior of the polyester mesh. This would allow an...in the inductor. When Vg goes low, M1 is off, D1 is forward biased, and the energy stored in the inductor is transferred to the capacitor . The
Three-dimensional vortex structures under breaking waves
WATANABE Yasunori; Saeki, Hiroshi; Hosking, Roger J.
2005-01-01
The large-scale vortex structures under spilling and plunging breakers are investigated, using a fully three-dimensional large-eddy simulation (LES). When an overturning jet projecting from the crest in a breaking wave rebounds from the water surface ahead, the vorticity becomes unstable in a saddle region of strain between the rebounding jet and a primary spanwise vortex, resulting in spanwise undulations of the vorticity. The undulations are amplified on a braid in this saddle region, leadi...
1986-06-01
iffrentlated Alluvium braided St~ream Terrace 2 (Late wlcosinl*f) 2 braded Stroan Terraece I Figutr. 1. Projoct st-.. location PROJECT LOCATION The BFD project...Archeologist 8 (2). Anderson David G. 1976 A Preliminary Report of the Zebree Proeect: New ApDroaches in Contract Archeology in Arkansas. Assembled and...00402. Bennett, Jayne and David Higginbotham 1984 Cultural Resources Mitiaation along Ditch 19. Site 23DU227. Dunklin County, Missouri. Prepared by AR
On realizations of exterior calculus with dN = 0
Abramov, V.
1998-11-01
We study realizations of the q-exterior calculus with exterior differential d satisfying d N = 0, N > 2 on the free associative algebra with one generator and on the generalized Clifford algebras. Analogs of the notions of connection and curvature are discussed in the case of the q-exterior calculus on the generalized Clifford algebra. We show that the q-exterior calculus on the free associative algebra with one generator is related to q-calculus on the braided line.
Corrosion Preventative Compounds (CPCs) Effect on Aircraft Electrical Wiring Components
2011-08-01
Electrical Wiring Components TR285HN301 Final Report Revision: - • Fretting research project was performed on nano -miniature connectors...CPCs, including gold plated edge card connectors, electrical connectors, tin plated pins, nano -miniature connectors. Current Air Force and NAVAIR...early 1980’s on many Navy aircraft. The Navy’s standard wire type. M5086/2-20 c Polyvinyl chloride, polyamide jacket, glass fiber braid ( PVC /glass
Umazano, Aldo M.; Bellosi, Eduardo S.; Visconti, Graciela; Melchor, Ricardo N.
2008-01-01
The Late Cretaceous succession of the San Jorge Basin (Patagonia, Argentina) records different continental settings that interacted with explosive volcanism derived from a volcanic arc located in the western part of Patagonia. This paper discusses the contrasting aggradational mechanisms in fluvial systems strongly influenced by explosive volcanism which took place during sedimentation of the Bajo Barreal Formation. During deposition of the lower member of the unit, common ash-fall events and scarce sandy debris-flows occurred, indicating syn-eruptive conditions. However, the record of primary pyroclastic deposits is scarce because they were reworked by river flows. The sandy fluvial channels were braided and show evidence of important variations in water discharge. The overbank flows (sheet-floods) represent the main aggradational mechanism of the floodplain. In places, subordinate crevasse-splays and shallow lakes also contributed to the floodplain aggradation. In contrast, deposition of the upper member occurred in a fluvial-aeolian setting without input of primary volcaniclastic detritus, indicating inter-eruptive conditions. The fluvial channels were also braided and flowed across low-relief floodplains that mainly aggraded by deposition of silt-sized sediments of aeolian origin (loess) and, secondarily by sheet-floods. The Bajo Barreal Formation differs from the classic model of syn-eruptive and inter-eruptive depositional conditions in the presence of a braided fluvial pattern during inter-eruptive periods, at least at one locality. This braided fluvial pattern is attributed to the high input of fine-grained pyroclastic material that composes the loessic sediments.
Quantum logic gates from Dirac quasiparticles
Marino, E. C.; Brozeguini, J. C.
2015-03-01
We show that one of the fundamental operations of topological quantum computation, namely the non-Abelian braiding of identical particles, can be physically realized in a general system of Dirac quasiparticles in 1 + 1D. Our method is based on the study of the analytic structure of the different Euclidean correlation functions of Dirac fields, which are conveniently expressed as functions of a complex variable. When the Dirac field is an (Abelian) anyon with statistics parameter s (2s not an integer), we show that the associated Majorana states of such a field present non-Abelian statistics. The explicit form of the unitary, non-commuting (monodromy) matrices generated upon braiding is derived as a function of s and is shown to satisfy the Yang-Baxter algebra. For the special case of s = 1/4, we show that the braiding matrices become the logic gates NOT, CNOT,… required in the algorithms of universal quantum computation. We suggest that maybe polyacetylene, alternately doped with alkali and halogen atoms, is a potential candidate for a physical material realization of the system studied here.
Directory of Open Access Journals (Sweden)
Mehmet Emin Taşdelen
2016-01-01
Full Text Available Braided sleeve composite shafts are produced and their torsional behavior is investigated. The braided sleeves are slid over an Al tube to create very strong and rigid tubular form shafts and they are in the form of 2/2 twill biaxial fiber fabric that has been woven into a continuous sleeve. Carbon and glass fibers braided sleeves are used for the fabrication of the composite shafts. VARTM (vacuum assisted resin transfer molding and Vacuum Bagging are the two different types of manufacturing methods used in the study. Torsional behaviors of the shafts are investigated experimentally in terms of fabrication methods and various composite materials parameters such as fiber types, layer thickness, and ply angles. Comparing the two methods in terms of the torque forces and strain angles, the shafts producing entirely carbon fiber show the highest torque capacities; however, considering the cost and performance criteria, the hybrid shaft made up of carbon and glass fibers is the optimum solution for average demanded properties. Additionally, FE (finite element model of the shafts was created and analyzed by using ANSYS workbench environment. Results of finite element analysis are compared with the values of twisting angle and torque obtained by experimental tests.
Nowotny, J; Aibibu, D; Farack, J; Nimtschke, U; Hild, M; Gelinsky, M; Kasten, P; Cherif, Ch
2016-07-01
One possibility to improve the mechanical properties after tendon ruptures is augmentation with a scaffold. Based on wet spinning technology, chitosan fibres were processed to a novel pure high-grade multifilament yarn with reproducible quality. The fibres were braided to obtain a 3D tendon scaffold. The CS fibres and scaffolds were evaluated biomechanically and compared to human supraspinatus (SSP) tendons. For the cytobiological characterization, in vitro cell culture experiments with human mesenchymal stem cells (hMSC) were performed. Three types of 3D circular braided scaffolds were fabricated. Significantly, higher ultimate stress values were measured for scaffold with larger filament yarn, compared to scaffold with smaller filament yarn. During cultivation over 28 days, the cells showed in dependence of isolation method and/or donor a doubling or tripling of the cell number or even a six-fold increase on the CS scaffold, which was comparable to the control (polystyrene) or in the case of cells obtained from human biceps tendon even higher proliferation rates. After 14 days, the scaffold surface was covered homogeneously with a cell layer. In summary, the present work demonstrates that braided chitosan scaffolds constitute a straightforward approach for designing tendon analogues, maintaining important flexibility in scaffold design and providing favourable mechanical properties of the resulting construct.
Experimental Results in Support of Simulating Progressive Crush in Carbon-Fiber Textile Composites
Energy Technology Data Exchange (ETDEWEB)
DeTeresa, S J; Allison, L M; Cunningham, B J; Freeman, DC; Saculla, M D; Sanchez, R J; Winchester, S W
2001-04-02
This report summarizes the findings of an experimental program conducted to support the modeling of the crush behavior of triaxial braid carbon fiber composites. The matrix material as well as braided panels and tubes were characterized in order to determine material properties, to assess failure modes, and to provide a test bed for new analytical and numerical tools developed specifically for braided composites. The matrix material selected by the ACC was an epoxy vinyl ester (Ashland Hetron 922). Tensile tests were used to compare two formulations-one used by the ACC and one recommended by the resin supplier. The latter was a faster reacting system and gelled in one-third the time of the ACC formulation. Both formulations had an average elongation at failure that was only half of the resin supplier's reported value. Only one specimen of each type came close to the reported elongation value and it was shown that failure invariably initiated at both surface and internal defects. Overall, the tensile properties of the two formulations were nearly identical, but those of the ACC system were more consistent. The properties of the ACC matrix formulation were measured in tension, shear, and compression and the average properties obtained in these tests are summarized.
Compression Testing of Textile Composite Materials
Masters, John E.
1996-01-01
The applicability of existing test methods, which were developed primarily for laminates made of unidirectional prepreg tape, to textile composites is an area of concern. The issue is whether the values measured for the 2-D and 3-D braided, woven, stitched, and knit materials are accurate representations of the true material response. This report provides a review of efforts to establish a compression test method for textile reinforced composite materials. Experimental data have been gathered from several sources and evaluated to assess the effectiveness of a variety of test methods. The effectiveness of the individual test methods to measure the material's modulus and strength is determined. Data are presented for 2-D triaxial braided, 3-D woven, and stitched graphite/epoxy material. However, the determination of a recommended test method and specimen dimensions is based, primarily, on experimental results obtained by the Boeing Defense and Space Group for 2-D triaxially braided materials. They evaluated seven test methods: NASA Short Block, Modified IITRI, Boeing Open Hole Compression, Zabora Compression, Boeing Compression after Impact, NASA ST-4, and a Sandwich Column Test.
Low-Cost Production of Composite Bushings for Jet Engine Applications
Gray, Robert A.
1998-01-01
The objectives of this research program were to reduce the manufacturing costs of variable stator vane bushings by 1) eliminating the expensive carbon fiber braiding operation, 2) replacing the batch mode impregnation, B-stage, and cutting operations with a continuous process, and 3) reducing the molding cycle and machining operations with injection molding to achieve near-net shapes. Braided bushings were successfully fabricated with both AMB-17XLD and AMB-TPD resin systems. The composite bushings achieved high glass transition temperature after post-cure (+300 C) and comparable weight loss to the PNM-15 bushings. ANM-17XLD bushings made with "batch-mode" molding compound (at 0.5 in. fiber length) achieved a +300 lb-force flange break strength which was superior to the continuous braided-fiber reinforced bushing. The non-MDA resin technology developed in this contract appears attractive for bushing applications that do not exceed a 300 C use temperature. Two thermoplastic polyimide resins were synthesized in order to generate injection molding compound powders. Excellent processing results were obtained at injection temperatures in excess of 300 C. Micro-tensile specimens were produced from each resin type and the Tg measurements (by TMA) for these samples were equivalent to AURUM(R). Thermal Gravimetric Analysis (TGA) conducted at 10 C/min showed that the non-MDA AMB-type polyimide thermoplastics had comparable weight loss to PMR-15 up to 500 C.
Measurement-only topological quantum computation without forced measurements
Zheng, Huaixiu; Dua, Arpit; Jiang, Liang
2016-12-01
We investigate the measurement-only topological quantum computation (MOTQC) approach proposed by Bonderson et al (2008 Phys. Rev. Lett. 101 010501) where the braiding operation is shown to be equivalent to a series of topological charge ‘forced measurements’ of anyons. In a forced measurement, the charge measurement is forced to yield the desired outcome (e.g. charge 0) via repeatedly measuring charges in different bases. This is a probabilistic process with a certain success probability for each trial. In practice, the number of measurements needed will vary from run to run. We show that such an uncertainty associated with forced measurements can be removed by simulating the braiding operation using a fixed number of three measurements supplemented by a correction operator. Furthermore, we demonstrate that in practice we can avoid applying the correction operator in hardware by implementing it in software. Our findings greatly simplify the MOTQC proposal and only require the capability of performing charge measurements to implement topologically protected transformations generated by braiding exchanges without physically moving anyons.
Morphological alteration of the Dráva as the result of human impact
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Tímea Kiss
2011-10-01
Full Text Available The Croatian-Hungarian border section of the Dráva River has been undisturbed for almost a century, and it is characterised by unique fluvial morphology (braided pattern and islands supporting rich habitats and wildlife. However, during the last decades human impact became more and moreintensive. Between 1975 and 1989 three water reservoirs were built on the Croatian section of the river, just 16 km from the beginning of the border-section, altering the hydrology and the sediment characteristics of the river. On a local scale cut-offs, revetments and groynes were built. The aim of the study was to evaluate the effect of these human interventions. As the result of the alteration of the hydrology the channel pattern of the Dráva has been changing from braided to meandering, though on the upstream meandering part the territory and number of islands increased due to the drop of water stages. A cut-off and a groyne influenced only the morphology of a short section. As the result of the cut-off braided pattern became more pronounced, and the groyne caused intensive channel aggradation and gave way to lateral island development.
Bathymetric surveys of the Kootenai River near Bonners Ferry, Idaho, water year 2011
Fosness, Ryan L.
2013-01-01
In 2009, the Kootenai Tribe of Idaho released and implemented the Kootenai River Habitat Restoration Master Plan. This plan aimed to restore, enhance, and maintain the Kootenai River habitat and landscape to support and sustain habitat conditions for aquatic species and animal populations. In support of these restoration efforts, the U.S. Geological Survey, in cooperation with the Kootenai Tribe of Idaho, conducted high-resolution multibeam echosounder bathymetric surveys in May, June, and July 2011, as a baseline bathymetric monitoring survey on the Kootenai River near Bonners Ferry, Idaho. Three channel patterns or reaches exist in the study area—braided, meander, and a transitional zone connecting the braided and meander reaches. Bathymetric data were collected at three study areas in 2011 to provide: (1) surveys in unmapped portions of the meander reach; (2) monitoring of the presence and extent of sand along planned lines within a section of the meander reach; and (3) monitoring aggradation and degradation of the channel bed at specific cross sections within the braided reach and transitional zone. The bathymetric data will be used to update and verify flow models, calibrate and verify sediment transport modeling efforts, and aid in the biological assessment in support of the Kootenai River Habitat Restoration Master Plan. The data and planned lines for each study reach were produced in ASCII XYZ format supported by most geospatial software.
Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux
Anokhina, A; Morozov, A; Morozov, An
2013-01-01
If a knot is represented by an m-strand braid, then HOMFLY polynomial in representation R is a sum over characters in all representations Q\\in R^{\\otimes m}. Coefficients in this sum are traces of products of quantum R-matrices along the braid, but these matrices act in the space of intertwiners, and their size is equal to the multiplicity M_{RQ} of Q in R^{\\otimes m}. If R is the fundamental representation R=[1], then M_{[1] Q} is equal to the number of paths in representation graph, which lead from the fundamental vertex [1] to the vertex Q. In the basis of paths the entries of the m-1 relevant R-matrices are associated with the pairs of paths and are non-vanishing only when the two paths either coincide or differ by at most one vertex; as a corollary R-matrices consist of just 1x1 and 2x2 blocks, given by very simple explicit expressions. If cabling method is used to color the knot with the representation R, then the braid has m|R| strands, Q have a bigger size m|R|, but only paths passing through the vert...
TEXTILE STRUCTURES FOR AERONAUTICS (PART II
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SOLER Miquel
2014-05-01
Full Text Available Three-dimensional (3D textile structures with better delamination resistance and damage impact tolerance to be applied in composites for structural components is one of the main goals of the aeronautical industry. Textile Research Centre in Canet de Mar has been working since 2008 in this field. Our staff has been designing, developing and producing different textile structures using different production methods and machinery to improve three-dimensional textile structures as fiber reinforcement for composites. This paper describes different tests done in our textile labs from unidirectional structures to woven, knitted or braided 3 D textile structures. Advantages and disadvantages of each textile structure are summarized. The second part of this paper deals with our know-how in the manufacturing and assessing of three-dimensional textile structures during this last five years in the field of textile structures for composites but also in the development of structures for other applications. In the field of composites for aeronautic sector we have developed textile structures using the main methods of textile production, that is to say, weaving, warp knitting, weft knitting and braiding. Comparing the advantages and disadvantages it could be said that braided fabrics, with a structure in the three space axes are the most suitable for fittings and frames.
Energy Technology Data Exchange (ETDEWEB)
Ye, Liangmiao; Yang, Kexian [Univ. of Tulsa, OK (United States)
1997-08-01
Outcrop studies of the Bluejacket Sandstone (Middle Pennsylvanian) provide significant insights to reservoir architecture of the subsurface equivalent Bartlesville Sandstone. Quarry walls and road cuts in the Lake Eufaula area offer excellent exposures for detailed facies architectural investigations using high-precision surveying, photo mosaics. Directional minipermeameter measurements are being conducted. Subsurface studies include conventional logs, borehole image log, and core data. Reservoir architectures are reconstructed in four hierarchical levels: multi-storey sandstone, i.e. discrete genetic intervals; individual discrete genetic interval; facies within a discrete genetic interval; and lateral accretion bar deposits. In both outcrop and subsurface, the Bluejacket (Bartlesville) Sandstone comprises two distinctive architectures: a lower braided fluvial and an upper meandering fluvial. Braided fluvial deposits are typically 30 to 80 ft thick, and are laterally persistent filling an incised valley wider than the largest producing fields. The lower contact is irregular with local relief of 50 ft. The braided-fluvial deposits consist of 100-400-ft wide, 5-15-ft thick channel-fill elements. Each channel-fill interval is limited laterally by an erosional contact or overbank deposits, and is separated vertically by discontinuous mudstones or highly concentrated mudstone interclast lag conglomerates. Low-angle parallel-stratified or trough cross-stratified medium- to coarse-grained sandstones volumetrically dominate. This section has a blocky well log profile. Meandering fluvial deposits are typically 100 to 150 ft thick and comprise multiple discrete genetic intervals.
Colored HOMFLY polynomials of knots presented as double fat diagrams
Mironov, A; Morozov, An; Ramadevi, P; Singh, Vivek Kumar
2015-01-01
Many knots and links in S^3 can be drawn as gluing of three manifolds with one or more four-punctured S^2 boundaries. We call these knot diagrams as double fat graphs whose invariants involve only the knowledge of the fusion and the braiding matrices of four-strand braids. Incorporating the properties of four-point conformal blocks in WZNW models, we conjecture colored HOMFLY polynomials for these double fat graphs where the color can be rectangular or non-rectangular representation. With the recent work of Gu-Jockers, the fusion matrices for the non-rectangular [21] representation, the first which involves multiplicity is known. We verify our conjecture by comparing with the [21] colored HOMFLY of many knots, obtained as closure of three braids. The conjectured form is computationally very effective leading to writing [21]-colored HOMFLY polynomials for many pretzel type knots and non-pretzel type knots. In particular, we find class of pretzel mutants which are distinguished and another class of mutants whic...
Ceramic Fiber Structures for Cryogenic Load-Bearing Applications
Jaskowiak, Martha H.; Eckel, Andrew J.
2009-01-01
This invention is intended for use as a load-bearing device under cryogenic temperatures and/or abrasive conditions (i.e., during missions to the Moon). The innovation consists of small-diameter, ceramic fibers that are woven or braided into devices like ropes, belts, tracks, or cables. The fibers can be formed from a variety of ceramic materials like silicon carbide, carbon, aluminosilicate, or aluminum oxide. The fiber architecture of the weave or braid is determined by both the fiber properties and the mechanical requirements of the application. A variety of weave or braid architectures is possible for this application. Thickness of load-bearing devices can be achieved by using either a 3D woven structure, or a layered, 2D structure. For the prototype device, a belt approximately 0.10 in. (0.25 cm) thick, and 3.0 in. (7.6 cm) wide was formed by layering and stitching a 2D aluminosilicate fiber weave.
Rittenour, Tammy M.; Goble, Ronald J.; Blum, Michael D.
2005-12-01
The broad alluvial valley of the lower Mississippi River contains large channel belts for which age control has been limited by the lack of organic material for radiocarbon dating and deposit ages greater than the limit of radiocarbon. In order to produce a detailed chronology of fluvial evolution, samples for optical dating were collected from Late Pleistocene channel-belt deposits. Quartz sand was analyzed using the coarse-grained, single-aliquot regenerative-dose (SAR) technique. Samples showed little evidence of partial bleaching, and optical ages are for the most part consistent with the available radiocarbon and relative age constraints. Optical ages range from 85 to 11 ka and, along with geomorphic and stratigraphic relationships, indicate that the Mississippi River was meandering during the end of the last interglacial (85-83 ka) and switched to a braided regime by 64-50 ka during initial marine oxygen isotope stage (OIS) 4/3 glaciation of the upper Mississippi drainage basin. The Mississippi River switched back to a meandering regime after formation of the youngest braid belt at 11 ka. The 69 optical ages presented here provide the first detailed chronology of lower Mississippi valley braid-belt and Pleistocene meander-belt formation, and provide an example of the utility of optical dating in fluvial settings where material for radiocarbon dating is scarce.
The Jones polynomial: quantum algorithms and applications in quantum complexity theory
Yard, J; Yard, Jon; Wocjan, Pawel
2006-01-01
We analyze relationships between the Jones polynomial and quantum computation. Our first result is a polynomial-time quantum algorithm which gives an additive approximation of the Jones polynomial, in the sense of Bordewich, Freedman, Lovasz and Welsh, of any link obtained from a certain general family of closures of braids, evaluated at any primitive root of unity. This family encompasses the well-known plat and trace closures, generalizing results recently obtained by Aharonov, Jones and Landau. We base our algorithm on a local qubit implementation of the unitary Jones-Wenzl representations of the braid group which makes the underlying representation theory apparent, allowing us to provide an algorithm for approximating the HOMFLYPT two-variable polynomial of the trace closure of a braid at certain pairs of values as well. Next, we provide a self-contained proof that any quantum computation can be replaced by an additive approximation of the Jones polynomial, evaluated at almost any primitive root of unity....
Baucom, P.C.; Rigsby, C.A.
1999-01-01
Strata exposed in terraces and modern cutbanks along the Rio Desaguadero contain a variety of lithofacies that were deposited in four distinct facie??s associations. These facie??s associations document a history of aggradation and downcutting that is linked to Holocene climate change on the Altiplano. Braided-stream, meandering-stream, deltaic and shoreline, and lacustrine sediments preserved in multi-level terraces in the northern Rio Desaguadero valley record two high-water intervals: one between 4500 and 3900 yr BP and another between 2000 and 2200 yr BP. These wet periods were interrupted by three periods of fluvial downcutting, centered at approximately 4000 yr BP, 3600 yr BP, and after 2000 yr BP. Braided-river sediments preserved in a single terrace level in the southern Rio Desaguadero valley record a history of nearly continuous fluvial sedimentation from at least 7000 yr BP until approximately 3200 yr BP that was followed by a single episode (post-3210 yr BP) of downcutting and lateral migration. The deposition and subsequent fluvial downcutting of the northern strata was controlled by changes in effective moisture that can be correlated to Holocene water-level fluctuations of Lake Titicaca. The deposition and dissection of braided-stream sediments to the south are more likely controlled by a combination of base-level change and sediment input from the Rio Mauri. Copyright ??1999, SEPM (Society for Sedimentar)- Geology).
Energy Technology Data Exchange (ETDEWEB)
Baucom, P.C.; Rigsby, C.A. [East Carolina Univ., Greenville, NC (United States). Dept. of Geology
1999-05-01
Strata exposed in terraces and modern cutbanks along the Rio Desaguadero contain a variety of lithofacies that were deposited in four distinct facies associations. These facies associations document a history of aggradation and downcutting that is linked to Holocene climate change on the Altiplano. Braided-stream, meandering-stream, deltaic and shoreline, and lacustrine sediments preserved in multi-level terraces in the northern Rio Desaguadero valley record two high-water intervals: one between 4,500 and 3,900 yr BP and another between 2,000 and 2,200 yr BP. These wet periods were interrupted by three periods of fluvial downcutting, centered at approximately 4,000 yr BP, 3,600 yr BP, and after 2,000 yr BP. Braided-river sediments preserved in a single terrace level in the southern Rio Desaguadero valley record a history of nearly continuous fluvial sedimentation from at least 7,000 yr BP until approximately 3,200 yr BP that was followed by a single episode (post-3,210 yr BP) of down-cutting and lateral migration. The deposition and subsequent fluvial downcutting of the northern strata was controlled by changes in effective moisture that can be correlated to Holocene water-level fluctuations of Lake Titicaca. The deposition and dissection of braided-stream sediments to the south are more likely controlled by a combination of base-level change and sediment input from the Rio Mauri.
Olsen, Henrik
1989-02-01
Studies of fluvial sandstone-body structures in the Lower Jurassic Dinosaur Canyon Member suggest a threefold subdivision of the ephemeral stream deposits. Sandstone-sheets with interbedded siltstones are less than 1 m thick and laterally extensive for hundreds of metres. They are interpreted as sheetflood deposits. Simple channel sandstone-bodies are a few metres thick and a few tens of metres wide. They reflect solitary channel incision, episodic migration and plugging. Multistorey channel sandstone-bodies are a few metres thick and laterally extensive for hundreds of metres. They are composed of several channel-shaped storeys and exhibit only local incision. The multistorey sandstone-bodies are interpreted as braided ephemeral stream deposits. Two sandstone-sheet subtypes with grooves and mounds, respectively, are interpreted as intermediate between the sheetflood deposits and solitary incised channel deposits on one hand and between sheetflood deposits and braided stream deposits on the other hand. The solitary channels and braided streams are accordingly interpreted to be initiated from sheetfloods through differential erosion and differential deposition, respectively. This model of channel evolution from sheetfloods is probably applicable to other semiarid and arid fluvial environments dominated by surface runoff.
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Bertrand Tondu
2014-06-01
Full Text Available We analyze the possibility of taking advantage of artificial muscle’s own stiffness and damping, and substituting it for a classic proportional-integral-derivative controller (PID controller an I controller. The advantages are that there would only be one parameter to tune and no need for a dynamic model. A stability analysis is proposed from a simple phenomenological artificial muscle model. Step and sinus-wave tracking responses performed with pneumatic McKibben muscles are reported showing the practical efficiency of the method to combine accuracy and load robustness. In the particular case of the McKibben artificial muscle technology, we suggest that the dynamic performances in stability and load robustness would result from the textile nature of its braided sleeve and its internal friction which do not obey Coulomb’s third law, as verified by preliminary reported original friction experiments. Comparisons are reported between three kinds of braided sleeves made of rayon yarns, plastic, and thin metal wires, whose similar closed-loop dynamic performances are highlighted. It is also experimentally shown that a sleeve braided with thin metal wires can give high accuracy performance, in step as in tracking response. This would be due to a low static friction coefficient combined with a kinetic friction exponentially increasing with speed in accordance with hydrodynamic lubrication theory applied to textile physics.
Institute of Scientific and Technical Information of China (English)
王哲; 金振奎; 付晶; 郭守波
2013-01-01
-west trending.The whole Badaowan Formation deposition in the time and space distribution has the inheritance and variability.The Badaowan Group in the study area mainly developed three kinds of deposition types,which are braided,braided fiver deltas and lakes,five kinds of sedimentary subfacies types and 10 kinds of sedimentary microfacies type.Braid-river deposits in the study area including the braided channel subfacies and floodplain subfacies,expressed as the peculiar asymmetry of the braided river "dual structure" in vertical.Braided river delta deposition of the study area included braided river delta plain subfacies,braided river delta front subfacies.Viewing from the position of the sand body developing in the sequence,the reservoir sand bodies develop mainly in the low and high system tract,regional mudstone caprock mainly develop in the transgressive systems tract.The Badaowan formation in Dishuiquan area mainly develop two sets of large reservoir-cap combination.JSQ1 lowstand system tract formation of braided channel sand body has the role of filling the early valleys,also can be used as good reservoir.JSQ1 lake transgressive system tract formation of lacustrine facies mudstone can be used as underlying reservoir favorable cover; JSQ1 high system tract and JSQ2 lowstand system tract formation of braided river delta distributary channel sand body and JSQ2 lake transgressive system tract of lake deposition can be combined to form a reservoir seal assemblage.Due to the JSQ lowstand system tract developing braided channel sand body,the lateral variation in lithology easy to form the oil and gas lateral occlusion.Therefore,the palaeogeomorphology of valley in study area of Badaowan Formation can be combined with widely distributed braided channel sand body of JSQ1 in the lowstand systems tract to form formation-lithologic trap which is the most favorable exploration targets in the study area.%运用层序地层学与沉积学的原理和方法,建立滴水泉地区侏罗
An investigation to determine the producibility of a 3-D braider and bias direction weaving loom
Huey, Cecil O., Jr.
1991-01-01
The development of prototype machines for the production of generalized braid patterns is described. Mechanical operating principles and control strategies are presented for two prototype machines which were fabricated and evaluated. Both machines represent advances over current techniques for forming composite material preforms by enabling near ideal control of fiber orientation. Furthermore, they overcome both the lack of general control of produced fiber architectures and the complexity of other weaving processes that were produced for the same purpose. One prototype, the modified Farley braider, consists of an array of turntables which can be rotated 90 degrees and returned; hence, they can form tracks in the x and y axis. Yarn ends are transported about the surface formed by the turntables using motorized tractors. These tractors are controlled using an optical link with a control circuit and host computer. The tractors are powered through electrical contact with the turntables. The necessary relative motions are produced by a series of linear tractor moves combined with a sequence of turntable rotations. The movement of the tractors about the surface causes the yarns to produce the desired braiding pattern. The second device, the shuttle plate braider, consists of a braiding surface formed by an array of square elements, each separated from its neighbor by a gap. Beneath this surface lies a shuttle plate, which reciprocates first in one axis and then in the other. As this movement takes place, yarn carrying shuttles engage and disengage the plate by means of solenoid activated pins. By selective engagement and disengagement, the shuttles can move the yarn ends in any desired pattern, forming the desired braid. Control power, and control signals, are transmitted from the electronic interface circuit and host computer, via the braiding surface through electrical contact with the shuttles. Motive power is proved to the shuttles by motion of the shuttle plate
An investigation to determine the producibility of a 3-D braider and bias direction weaving loom
Huey, Cecil O., Jr.
1991-09-01
The development of prototype machines for the production of generalized braid patterns is described. Mechanical operating principles and control strategies are presented for two prototype machines which were fabricated and evaluated. Both machines represent advances over current techniques for forming composite material preforms by enabling near ideal control of fiber orientation. Furthermore, they overcome both the lack of general control of produced fiber architectures and the complexity of other weaving processes that were produced for the same purpose. One prototype, the modified Farley braider, consists of an array of turntables which can be rotated 90 degrees and returned; hence, they can form tracks in the x and y axis. Yarn ends are transported about the surface formed by the turntables using motorized tractors. These tractors are controlled using an optical link with a control circuit and host computer. The tractors are powered through electrical contact with the turntables. The necessary relative motions are produced by a series of linear tractor moves combined with a sequence of turntable rotations. The movement of the tractors about the surface causes the yarns to produce the desired braiding pattern. The second device, the shuttle plate braider, consists of a braiding surface formed by an array of square elements, each separated from its neighbor by a gap. Beneath this surface lies a shuttle plate, which reciprocates first in one axis and then in the other. As this movement takes place, yarn carrying shuttles engage and disengage the plate by means of solenoid activated pins. By selective engagement and disengagement, the shuttles can move the yarn ends in any desired pattern, forming the desired braid. Control power, and control signals, are transmitted from the electronic interface circuit and host computer, via the braiding surface through electrical contact with the shuttles. Motive power is proved to the shuttles by motion of the shuttle plate
Characteristics of Sedimentary Facies of Jurassic in Tabei Area%塔北地区侏罗系沉积相特征
Institute of Scientific and Technical Information of China (English)
时晓章; 任来义; 曲凤杰; 杜彦军; 王变阳; 张格; 吴凤
2012-01-01
According to die comprehensive analysis on the logging data, well logging data, and well cores testing data of 120 wells and the seismic facies of 25000 kilometers long two-dimensional seismic sections of Tabei Area at the same time, the following conclusions are able to draw from. Six sedimentary facies have developed in Jurassic in Tabei Area; they are alluvial fan, braid river, braid river delta, fan delta, littoral-shallow lake, and half-deep lake. Among of them, the braid river delta and fan delta have most widely developed. The braid river deltas have mainly distributed in the area of Yingmaili, Donghetang, Yuenan, western of Lungu, Hadexun, and the southern area of Caohu and Juema. The fan deltas have mainly distributed in the areas of Lunnan and Caohu. The braid rivers have mainly distributed in the areas of Mana 1 -Mana 3 -Yingmai 3 -Yuenan 1 -Hade well blocks, Yingmai 6 well block, and southeast of Tabei Area. Littoral-shallow lake and half-deep lake have mainly distributed in Qunkeer Area. The alluvial fan has mainly distributed in the west part of Mana 3 well block and mountain front zones of Kuqa depression. According to the analysis, the aquatic bifurcating channels and subquatic distributary channels of the braid river delta, the bifurcating channels of the fan delta plain, braid river channel sandbody, and the turbinate sandbody located in eastern part of the Tabei Area are the prospective objects for finding lithologic trap.%通过对塔北地区120口井的录井资料、测井资料和部分岩心资料进行综合分析,对近2.5万km的二维地震剖面进行地震相分析,认为塔北地区侏罗系主要发育冲积扇、辫状河、辫状河三角洲、扇三角洲、滨浅湖和半深湖6种沉积相,以辫状河三角洲和扇三角洲最为发育.辫状河三角洲主要在英买力、东河塘、跃南、轮古西、哈得逊、草南和觉马1井南地区发育,扇三角洲主要在轮南和草湖地区发育,辫状河主要在马纳1
The case of the Upper Rhine: unravelling the past, wrapping up the future
Ergenzinger, P.; Bölscher, J.; de Jong, C.
2003-04-01
The southern Upper Rhine was once the most prominent braided river system in Germany. However it lost its character during the last 200 years and is now a trained river used for electricity and carrying ships to Basel(CH). The river sector between Basel and Strasburg(F) was always different to the Hochrhein (Lake Constance Basel) and to the lower Upper Rhine (Strasburg Bingen(D)). This ancient braided river system changed downstream according to the transition of grain sizes from cobbles to gravel and sand. Between Strasburg and Lauterburg(F) the braids were replaced by meanders and this geomorphological change induced many other changes. At thesed times the ecology, including the use of water and land, riparian forests, the development of flood defence and navigation were different. In addition there was a further problem for people living in the time of enlightment: how should the boundary of a state be defined within a braided river? In the German language braided rivers were and are still called “verwildert” and this means the river is going wild. As such, somebody who was able to improve this situation would gain merits. This happened to Johann Gottfried Tulla. He became the responsible engineer for river construction in the Great Duchy Baden. In 1812 he created a memorandum with recommodations for the future development of the river Rhine. Only 5 years later he succeeded with the first cutoff of a meander next to Karlsruhe. After his death a treaty between France and Baden regulated the elimination of the braided system between Basel and Lauterburg. The construction took place between 1840 and 1875. This development was opposed locally and by the Prussian and Dutch authorities who claimed - after the huge flood of 1824 - that the abnormal flood peak was a result of the meander cutoffs created in Baden. Nevertheless the results of training the braided system were technically convincing: a deeper river channel, less floods, a well defined border and finally
Institute of Scientific and Technical Information of China (English)
赵渭军; 胡金春; 林统; 俞婷婷
2016-01-01
Jiangxinyu braided reach of Oujiang estuary located in the estuary transition section is a typical braided river reach, whose bed evolution is generally controlled by the two-directional flow and sediment conditions of land and sea. The river reach is characterized by great erosion and siltation range of riverbed, main channel instability, the north-south swing, and shoal rapid change and so on. The migration of the main and branch river for the Jiangxinyu braided reach of the Oujiang estuary, the diversion ratio change of the south branch & north branches, and thalweg change are summarized by means of hydrological and sediment data and underwater topographic mapping information over the years. The river regime evolution law for the Jiangxinyu braided reach is analysed . According to the flow and sediment data and changes data of erosion and siltation for typical cross-section of the river reach, the relationship between a representative cross-sections and diversion ratio of ebb for braided river reach is developed. Thereby, the diversion ratio of the south branch & north branches can be preliminarily controlled by means of the regulation measures that change cross sections in order to provide basis for decision making of water administrative departments. This paper has referential significance for research and regulation of other braided river reach. Finally, regulation opinions for the braided river reach of Jiangxin island are put forward.%瓯江河口江心屿河段位于河口过渡段，是典型的分汊河段，其河床演变同时受陆域与海域两向来水、来沙条件共同控制，表现为河床冲淤幅度大，主槽不稳定、南北摆动、浅滩变化快等特点。本文利用历年水文泥沙资料和水下地形测图资料，综合论述了瓯江河口江心屿分汊河段主支汊变迁、南北汊分流比变化和河段深泓线变化，分析了江心屿分汊河段的河势演变规律，根据河段的水沙资料和典型断面
Tow collapse model for compression strength of textile composites
Energy Technology Data Exchange (ETDEWEB)
Emehel, T.C.; Shivakumar, K.N. [North Carolina A and T State Univ., Greensboro, NC (United States)
1995-12-31
The unidirectional composite compression strength model based on microbuckling of fibers embedded in a rigid-plastic matrix was extended to multiaxial laminates and textile composites. The resulting expression is a function of matrix yield strength under the fiber constraint, fiber misalignment angle, fiber volume fraction, and the area fractions of various sets of inclined tows. The analysis was verified by experimentation. Compression tests were conducted on laminated, three-dimensional triaxially braided and orthogonally woven composites using the IITRI test specimen. The laminate specimens were made up of AS4/3501-6 graphite/epoxy composite with (0){sub 24}, (0/30/0/{minus}30){sub 3S}, and ((0/90)6/0){sub S} stacking sequence. Textile composites were made of BASF G30-500 graphite fiber tows (tow size is 6K) and Dow Chemicals Tactix 123 matrix. Fiber preform architecture of braided and woven composites before resin consolidation was 0/{+-}17 and 0/90, respectively and after consolidation it was about (7/{+-}20) and (5/90/90), respectively. The analysis agreed reasonably well with the test data for all cases considered. The axial fiber/tow misalignment angle for laminated, braided, and woven composites were about 4, 7, and 5 degrees, respectively. The compression strength was found to be strongly dependent on the percentage of axial tows and its misalignment angle. A small variation in the off-axis fiber/tow orientation had marginal effect on the compression strength. Hence, the off axis tow misalignment angle can be assumed to be same as the initial laminate or the two orientation angle.
Development of Textile Reinforced Composites for Aircraft Structures
Dexter, H. Benson
1998-01-01
NASA has been a leader in development of composite materials for aircraft applications during the past 25 years. In the early 1980's NASA and others conducted research to improve damage tolerance of composite structures through the use of toughened resins but these resins were not cost-effective. The aircraft industry wanted affordable, robust structures that could withstand the rigors of flight service with minimal damage. The cost and damage tolerance barriers of conventional laminated composites led NASA to focus on new concepts in composites which would incorporate the automated manufacturing methods of the textiles industry and which would incorporate through-the-thickness reinforcements. The NASA Advanced Composites Technology (ACT) Program provided the resources to extensively investigate the application of textile processes to next generation aircraft wing and fuselage structures. This paper discusses advanced textile material forms that have been developed, innovative machine concepts and key technology advancements required for future application of textile reinforced composites in commercial transport aircraft. Multiaxial warp knitting, triaxial braiding and through-the-thickness stitching are the three textile processes that have surfaced as the most promising for further development. Textile reinforced composite structural elements that have been developed in the NASA ACT Program are discussed. Included are braided fuselage frames and window-belt reinforcements, woven/stitched lower fuselage side panels, stitched multiaxial warp knit wing skins, and braided wing stiffeners. In addition, low-cost processing concepts such as resin transfer molding (RTM), resin film infusion (RFI), and vacuum-assisted resin transfer molding (VARTM) are discussed. Process modeling concepts to predict resin flow and cure in textile preforms are also discussed.
Energy Technology Data Exchange (ETDEWEB)
Byfield, M.
2009-11-15
This article described a radically reshaped coiled tubing product developed by an engineer with CJS Coiled Tubing Supply Ltd. The method encapsulates multiple conduits and electric wires within a single coiled tubing umbilical. The product is manufactured in Texas where coiled tubing strings are braided and encased within a wrapping. The strings have to be braided to maintain uniform lengths when the tubing is spooled. CJS has developed a reputation as a technical coiled tubing problem solver, particularly for low-pressure gas wells where produced water must be removed in order to avoid build up. Round pipe is particularly difficult to braid if the various conduits are of different sizes and materials. The CJS solution is called FLATpak in which multiple conduits sit side by side, encased within a rectangular matrix of thermo plastic. Several configurations of conduit are possible, including various diameters and different electric wire. FLATpak is pressure-extruded as a single piece. The rectangular product coils tighter on a coiled tubing spool than round pipe, thereby reducing transportation costs. Steel blowout preventer (BOP) rams can be switched easily to the new shape as long as the rectangular form is solid and rounded at the corners. Many producers recognize the need to deploy artificial lift systems in low-rate gas wells. CJS has installed 30 permanent FLATpak systems in Canada, more than 10 in the United States, and is adding 4 or 5 more per month. CJS is also working to proof its umbilicals for higher pressures and temperatures, for possible offshore potential. 2 figs.
Institute of Scientific and Technical Information of China (English)
ZHONG Jun-yi; ZHENG Jun-mao; WANG Guo-peng; LI Gui-lin; YU Gong-ming
2006-01-01
Tectonic movements in the North Slope of Biyang Depression are comparatively mild and stable, thus generating two categories of deltas. Elementary reasons for the coexistence of deltas are the existence of the palaeodrainage pattern and the effect of palaeotopography. The sedimentary facies is the most elementary factor controlling the physical property of reservoirs. The layout and spatial combination model of the sand body and faults are the major influential factors on the occurrence of hydrocarbons. Comparative study on Houzhang and Yanglou Braided Deltas as well as Zhangchang and Gucheng Meandering Deltas suggests that the hydrocarbons distribute primarily in the mouth bar subfacies and secondarily in the distal bar subfacies of the braided delta, while the oil-water and aqueous layers are mainly found in the subaquatic distributary channel. Although the sand body of the meandering delta has excellent stratification and high porosity, the thickness is far less than that of the braided delta. Therefore, the yield of hydrocarbon is relatively low. The mudstone of the delta front subfacies is a kind of source rock with a high content of organic matter. The conducting system for oil/gas migration in the North Slope is a composite one comprising faults and sandstone reservoirs. A large amount of oil/gas from the deep depression first migrated towards the slope along the sand body which stretches and connects with the source rocks, and then redistributed along the faults in the slope. After the movement reached a standstill, the faults formed the occlusion in the up-dip direction of the sand body, generating a great quantity of fault block hydrocarbon reservoirs in the North Slope.
Williams, Cory A.; Richards, Rodney J.; Schaffrath, Keelin R.
2015-01-01
Channel rehabilitation, or reconfiguration, to mitigate a variety of riverine problems has become a common practice in the western United States. However, additional work to monitor and assess the channel response to, and the effectiveness of, these modifications over longer periods of time (decadal or longer) is still needed. The Lake Fork of the Gunnison River has been an area of active channel modification to accommodate the needs of the Lake City community since the 1950s. The Lake Fork Valley Conservancy District began a planning process to assess restoration options for a reach of the Lake Fork in Lake City to enhance hydraulic and ecologic characteristics of the reach. Geomorphic channel form is affected by land-use changes within the basin and geologic controls within the reach. The historic channel was defined as a dynamic, braided channel with an active flood plain. This can result in a natural tendency for the channel to braid. A braided channel can affect channel stability of reconfigured reaches when a single-thread meandering channel is imposed on the stream. The U.S. Geological Survey, in cooperation with the Colorado Water Conservation Board and Colorado River Water Conservation District, began a study in 2010 to quantify existing hydraulic and habitat conditions for a reach of the Lake Fork of the Gunnison River in Lake City, Colorado. The purpose of this report is to quantify existing Lake Fork hydraulic and habitat conditions and establish a baseline against which post-reconfiguration conditions can be compared. This report (1) quantifies the existing hydraulic and geomorphic conditions in a 1.1-kilometer section of the Lake Fork at Lake City that has been proposed as a location for future channel-rehabilitation efforts, (2) characterizes the habitat suitability of the reach for two trout species based on physical conditions within the stream, and (3) characterizes the current riparian canopy density.
Directory of Open Access Journals (Sweden)
Bachuki Mesablishvili
2015-01-01
Full Text Available The definition of Azumaya algebras over commutative rings \\(R\\ requires the tensor product of modules over \\(R\\ and the twist map for the tensor product of any two \\(R\\-modules. Similar constructions are available in braided monoidal categories, and Azumaya algebras were defined in these settings. Here, we introduce Azumaya monads on any category \\(\\mathbb{A}\\ by considering a monad \\((F,m,e\\ on \\(\\mathbb{A}\\ endowed with a distributive law \\(\\lambda: FF\\to FF\\ satisfying the Yang–Baxter equation (BD%please define -law. This allows to introduce an opposite monad \\((F^\\lambda,m\\cdot \\lambda,e\\ and a monad structure on \\(FF^\\lambda\\. The quadruple \\((F,m,e,\\lambda\\ is called an Azumaya monad, provided that the canonical comparison functor induces an equivalence between the category \\(\\mathbb{A}\\ and the category of \\(FF^\\lambda\\-modules. Properties and characterizations of these monads are studied, in particular for the case when \\(F\\ allows for a right adjoint functor. Dual to Azumaya monads, we define Azumaya comonads and investigate the interplay between these notions. In braided categories (V\\(,\\otimes,I,\\tau\\, for any V-algebra \\(A\\, the braiding induces a BD-law \\(\\tau_{A,A}:A\\otimes A\\to A\\otimes A\\, and \\(A\\ is called left (right Azumaya, provided the monad \\(A\\otimes-\\ (resp. \\(-\\otimes A\\ is Azumaya. If \\(\\tau\\ is a symmetry or if the category V admits equalizers and coequalizers, the notions of left and right Azumaya algebras coincide.
Directory of Open Access Journals (Sweden)
Cheng-Wei Kuo
2017-01-01
Full Text Available Recurrent flood events induced by typhoons are powerful agents to modify channel morphology in Taiwan’s rivers. Frequent channel migrations reflect highly sensitive valley floors and increase the risk to infrastructure and residents along rivers. Therefore, monitoring channel planforms is essential for analyzing channel stability as well as improving river management. This study analyzed annual channel changes along two sediment-rich rivers, the Zhuoshui River and the Gaoping River, from 2008 to 2015 based on satellite images of FORMOSAT-2. Channel areas were digitized from mid-catchment to river mouth (~90 km. Channel stability for reaches was assessed through analyzing the changes of river indices including braid index, active channel width, and channel activity. In general, the valley width plays a key role in braided degree, active channel width, and channel activity. These indices increase as the valley width expands whereas the braid index decreases slightly close to the river mouth due to the change of river types. This downstream pattern in the Zhuoshui River was interrupted by hydraulic construction which resulted in limited changes downstream from the weir, due to the lack of water and sediment supply. A 200-year flood, Typhoon Morakot in 2009, induced significant changes in the two rivers. The highly active landscape in Taiwan results in very sensitive channels compared to other regions. An integrated Sensitivity Index was proposed for identifying unstable reaches, which could be a useful reference for river authorities when making priorities in river regulation strategy. This study shows that satellite image monitoring coupled with river indices analysis could be an effective tool to evaluate spatial and temporal changes in channel stability in highly dynamic river systems.
Holocene fluvial geomorphic change in the central Mississippi Valley
Energy Technology Data Exchange (ETDEWEB)
Hajic, E.R. (Illinois State Museum, Springfield, IL (United States))
1992-01-01
Four distinct Mississippi River (MR) channel patterns are distinguished on the basis of geomorphic expression and cross-cutting relationships between the Missouri River mouth and Thebes Gap (TG). In order of decreasing age, they are (1) a multi-channeled braided system superimposed on a sandy substrate that correlates with the Kingston Terrace (KT); (2) a relatively large amplitude, large sinuosity, meandering system; (3) a smaller amplitude, smaller sinuosity, meandering system with a marked increase in associated overbank sheetwash and splays; and, (4) an island-braided pattern aligned with the modern (MR). After the (KT) formed, the (MR) had a net westward migration and episodically decreased in sinuosity. Decreasing sinuosity is possibly in response to a general decrease in sediment yield. Channel pattern changes are bracketed somewhat by available radiocarbon ages and the geomorphic location of archaeological deposit with temporally diagnostic artifacts. The KT formed between about 10,400 and 9800 B.P.; the superimposed braid pattern has fill consisting of Lake Superior source reddish brown clay deposited by large, and possibly catastrophic, floods between 9800 and 9500 B.P. The large sinuosity meandering pattern was active from before 4400 B.P. until about 2400 B.P. at the latest. It was probably initiated millennia earlier. The small sinuosity meandering pattern was initiated by about 2500 B.P. and abandoned before 1100 B.P. The geomorphic mapping is the first component of a geoarchaeological investigation to aid cultural resource management to aid cultural resource management in the central MR Valley. At the same time, it provides some constraints on the origin and age of some long-recognized landforms, such as the TG.
Curran, Janet H.; McTeague, Monica L.; Burril, Sean E.; Zimmerman, Christian E.
2011-01-01
Turbid, glacially influenced rivers are often considered to be poor salmon spawning and rearing habitats and, consequently, little is known about salmon habitats that do occur within rivers of this type. To better understand salmon spawning habitats in the Matanuska River of southcentral Alaska, the distribution and characteristics of clearwater side-channel spawning habitats were determined and compared to spawning habitats in tributaries. More than 100 kilometers of clearwater side channels within the braided mainstem of the Matanuska River were mapped for 2006 from aerial images and ground-based surveys. In reaches selected for historical analysis, side channel locations shifted appreciably between 1949 and 2006, but the relative abundance of clearwater side channels was fairly stable during the same period. Geospatial analysis of side channel distribution shows side channels typically positioned along abandoned bars at the braid plain margin rather than on bars between mainstem channels, and shows a strong correlation of channel abundance with braid plain width. Physical and geomorphic characteristics of the channel and chemical character of the water measured at 19 side channel sites, 6 tributary sites, 4 spring sites, and 5 mainstem channel sites showed conditions suitable for salmon spawning in side channels and tributaries, and a correlation of side channel characteristics with the respective tributary or groundwater source water. Autumn-through-spring monitoring of intergravel water temperatures adjacent to salmon redds (nests) in three side channels and two tributaries indicate adequate accumulated thermal units for incubation and emergence of salmon in side channels and relatively low accumulated thermal units in tributaries.
Quantum groups: Geometry and applications
Energy Technology Data Exchange (ETDEWEB)
Chu, C.S. [Lawrence Berkeley Lab., CA (United States). Theoretical Physics Group
1996-05-13
The main theme of this thesis is a study of the geometry of quantum groups and quantum spaces, with the hope that they will be useful for the construction of quantum field theory with quantum group symmetry. The main tool used is the Faddeev-Reshetikhin-Takhtajan description of quantum groups. A few content-rich examples of quantum complex spaces with quantum group symmetry are treated in details. In chapter 1, the author reviews some of the basic concepts and notions for Hopf algebras and other background materials. In chapter 2, he studies the vector fields of quantum groups. A compact realization of these vector fields as pseudodifferential operators acting on the linear quantum spaces is given. In chapter 3, he describes the quantum sphere as a complex quantum manifold by means of a quantum stereographic projection. A covariant calculus is introduced. An interesting property of this calculus is the existence of a one-form realization of the exterior differential operator. The concept of a braided comodule is introduced and a braided algebra of quantum spheres is constructed. In chapter 4, the author considers the more general higher dimensional quantum complex projective spaces and the quantum Grassman manifolds. Differential calculus, integration and braiding can be introduced as in the one dimensional case. Finally, in chapter 5, he studies the framework of quantum principal bundle and construct the q-deformed Dirac monopole as a quantum principal bundle with a quantum sphere as the base and a U(1) with non-commutative calculus as the fiber. The first Chern class can be introduced and integrated to give the monopole charge.
Dynamics of Crowd Behaviors: From Complex Plane to Quantum Random Fields
Ivancevic, Vladimir G.; Reid, Darryn J.
2015-11-01
The following sections are included: * Complex Plane Dynamics of Crowds and Groups * Introduction * Complex-Valued Dynamics of Crowd and Group Behaviors * Kähler Geometry of Crowd and Group Dynamics * Computer Simulations of Crowds and Croups Dynamics * Braids of Agents' Behaviors in the Complex Plane * Hilbert-Space Control of Crowds and Groups Dynamics * Quantum Random Fields: A Unique Framework for Simulation, Optimization, Control and Learning * Introduction * Adaptive Quantum Oscillator * Optimization and Learning on Banach and Hilbert Spaces * Appendix * Complex-Valued Image Processing * Linear Integral Equations * Riemann-Liouville Fractional Calculus * Rigorous Geometric Quantization * Supervised Machine-Learning Methods * First-Order Logic and Quantum Random Fields
A new technique in the global reliability of cyclic communications network
Sjogren, Jon A.
1989-01-01
The global reliability of a communications network is the probability that given any pair of nodes, there exists a viable path between them. A characterization of connectivity, for a given class of networks, can enable one to find this reliability. Such a characterization is described for a useful class of undirected networks called daisy-chained or braided networks. This leads to a new method of quickly computing the global reliability of these networks. Asymptotic behavior in terms of component reliability is related to geometric properties of the given graph. Generalization of the technique is discussed.
Quasitriangular chiral WZW model in a nutshell
Klimcík, C
2001-01-01
We give the bare-bone description of the quasitriangular chiral WZW model for the particular choice of the Lu-Weinstein-Soibelman Drinfeld double of the affine Kac-Moody group. The symplectic structure of the model and its Poisson-Lie symmetry are completely characterized by two $r$-matrices with spectral parameter. One of them is ordinary and trigonometric and characterizes the $q$-current algebra. The other is dynamical and elliptic (in fact Felder's one) and characterizes the braiding of $q$-primary fields.
2007-12-01
ULTRAVOLT CN-40KV-1000 HV WIRE, RED,ULTRAVOLT W- XLPE -40KV-1001 83317 2 CONDUCTOR SHIELDED 6 COND. + SHIELD, NATIONAL WIRE, NQ-624SJ 2 TSP, 22 AWG...C B A 8 7 6 5 4 3 2 1 H G F E D C B A 8 7 6 5 4 3 2 1 A0W1P1 (A2J4) ULTRAVOLT CN-40KV-1000 HV WIRE, RED,ULTRAVOLT W- XLPE -40KV-1001 1 FEET BRAIDED
Yang-Baxter equation and quantum enveloping algebras
Ma Zhong Qi
1993-01-01
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function interactions and R J Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the key to the solution of both problems. The Yang-Baxter equation has also come to play an important role in such diverse topics as completely integrable statistical models, conformal and topological field theories, knots and links, braid groups and quantum enveloping algebras.This pioneering textbook attempts to m
Two-point spin-1/2-spin-1/2 sl(2,bfC) conformal Kac-Moody blocks on the torus and their monodromies
Energy Technology Data Exchange (ETDEWEB)
Smyrnakis, J.M. [Columbia Univ., New York, NY (United States). Dept. of Mathematics
1995-10-02
Two issues of the SU(2) Wess-Zumino-Witten model are examined here, namely the computation of the untwisted conformal Kac-Moody blocks on the torus and their monodromy representations. Using the free field representation developed by Bernard and Felder, an integral representation of the twisted two point spin-1/2-spin-1/2 conformal Kac-Moody blocks on the torus is computed. From this, an integral representation of the untwisted blocks is computed after careful removal of infinities. Finally, the untwisted blocks are used to get a representation of the Braid Group on the torus on two strings, in terms of quantum group q-numbers. (orig.).
Conformal field theory approach to Abelian and non-Abelian quantum Hall quasielectrons.
Hansson, T H; Hermanns, M; Regnault, N; Viefers, S
2009-04-24
The quasiparticles in quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could, in principle, be used for robust coding of quantum information. There is already a good theoretical understanding of quasiholes in both Abelian and non-Abelian quantum Hall states. Here we develop conformal field theory methods that allow for an equally precise description of quasielectrons and explicitly construct two- and four-quasielectron excitations of the non-Abelian Moore-Read state.
$q$ - Deformed Spin Networks, Knot Polynomials and Anyonic Topological Quantum Computation
Kauffman, Louis H.; Lomonaco Jr, Samuel J.
2006-01-01
We review the q-deformed spin network approach to Topological Quantum Field Theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups. Our methods are rooted in the bracket state sum model for the Jones polynomial. We give our results for a large class of representations based on values for the bracket polynomial that are roots of unity. We make a separate and self-contained study of the quantum universal Fibonacci model in this...
Topological quantum computing with Read-Rezayi states.
Hormozi, L; Bonesteel, N E; Simon, S H
2009-10-16
Read-Rezayi fractional quantum Hall states are among the prime candidates for realizing non-Abelian anyons which, in principle, can be used for topological quantum computation. We present a prescription for efficiently finding braids which can be used to carry out a universal set of quantum gates on encoded qubits based on anyons of the Read-Rezayi states with k>2, k not equal 4. This work extends previous results which only applied to the case k=3 (Fibonacci) and clarifies why, in that case, gate constructions are simpler than for a generic Read-Rezayi state.
Transport dynamics of collapse in a giant ELM
Energy Technology Data Exchange (ETDEWEB)
Kubota, Tetsuyuki [Kyushu Univ., Kasuga, Fukuoka (Japan). Interdisciplinary Graduate School of Engineering Sciences; Itoh, Sanae-I.; Yagi, Masatoshi; Itoh, Kimitaka
1998-09-01
Dynamics of collapse in a giant ELM (Edge Localized Mode) is presented. A model of transport bifurcation between the H-mode and the magnetic braiding mode (M-mode) is applied to the simulational study of edge plasma dynamics. The bifurcation contains the hysteresis characteristics. The pressure profile development, the propagation of the bifurcation (transition) fronts and the resultant bursting fluxes are obtained. The appearance of a pivot point in the pressure profile, an avalanche followed to the transition front propagation, and the structure of the burst are shown. (author)
Algebras associated with Pseudo Reflection Groups: A Generalization of Brauer Algebras
Chen, Zhi
2010-01-01
We present a way to associate an algebra $B_G (\\Upsilon) $ with every pseudo reflection group $G$. When $G$ is a Coxeter group of simply-laced type we show $B_G (\\Upsilon)$ is isomorphic to the generalized Brauer algebra of simply-laced type introduced by Cohen,Gijsbers and Wales[10]. We prove $B_G (\\Upsilon)$ has a cellular structure and be semisimple for generic parameters when $G$ is a rank 2 Coxeter group. In the process of construction we introduce a Cherednik type connection for BMW algebras and a generalization of Lawrence-Krammer representation to complex braid groups associated with all pseudo reflection groups.
2011-06-01
above the generators. Open both valves on either side of the connection. Connect the steel-braided flexible hose from the evaporator suction line...on the rear of the QuadCon to the suction line connection point above the generators on the refrigeration unit (both fittings have ball-valves...continuing to discharge to the water bucket . Disconnect manifold Cap-off fill ports. The system is now ready to operate. C-8.1.4 Operation
Lattice surgery translation for quantum computation
Herr, Daniel; Nori, Franco; Devitt, Simon J.
2017-01-01
In this paper we outline a method for a compiler to translate any non fault tolerant quantum circuit to the geometric representation of the lattice surgery error-correcting code using inherent merge and split operations. Since the efficiency of state distillation procedures has not yet been investigated in the lattice surgery model, their translation is given as an example using the proposed method. The resource requirements seem comparable or better to the defect-based state distillation process, but modularity and eventual implementability allow the lattice surgery model to be an interesting alternative to braiding.
The Changing Fate of Cloth Shoes
Institute of Scientific and Technical Information of China (English)
无
2000-01-01
ONE day I found by chance one of my old photos taken 30 years ago. In it I was still a serious 17-year-old girl with my hair in two short braids and dressed in a blue cloth coat, brown corduroys and a pair of black cloth shoes each fastened by a strap at the side My eyes fixed on the shoes and lingered for quite a long time. A smile quietly crawled over my lips. Isn't it the fashionable "little girl's shoe" which is expected to prevail in the market this year?
Practical and ornamental knots
Shaw, George Russell
2008-01-01
For centuries, everyone from sailors, fishermen, and cowboys to explorers, hunters, and mountaineers have known about - and relied on - the indispensable knot. Many of them also knew that the diversity of knot crafting was limited only by the imagination. In this classic guide, George Russell Shaw reveals the unlimited potential of the knot as not only a basic tool, but as a beautiful work of art.Filled with easy-to-follow and accurate instructions on creating scores of useful and decorative knots, 193 hand-drawn illustrations will guide you in creating: Braids Angler Knots Japanese Knots L
Textile technology development
Shah, Bharat M.
1995-01-01
The objectives of this report were to evaluate and select resin systems for Resin Transfer Molding (RTM) and Powder Towpreg Material, to develop and evaluate advanced textile processes by comparing 2-D and 3-D braiding for fuselage frame applications and develop window belt and side panel structural design concepts, to evaluate textile material properties, and to develop low cost manufacturing and tooling processes for the automated manufacturing of fuselage primary structures. This research was in support of the NASA and Langley Research Center (LaRc) Advanced Composite Structural Concepts and Materials Technologies for Primary Aircraft Structures program.
Textile Technologies and Tissue Engineering: A Path Toward Organ Weaving.
Akbari, Mohsen; Tamayol, Ali; Bagherifard, Sara; Serex, Ludovic; Mostafalu, Pooria; Faramarzi, Negar; Mohammadi, Mohammad Hossein; Khademhosseini, Ali
2016-04-06
Textile technologies have recently attracted great attention as potential biofabrication tools for engineering tissue constructs. Using current textile technologies, fibrous structures can be designed and engineered to attain the required properties that are demanded by different tissue engineering applications. Several key parameters such as physiochemical characteristics of fibers, microarchitecture, and mechanical properties of the fabrics play important roles in the effective use of textile technologies in tissue engineering. This review summarizes the current advances in the manufacturing of biofunctional fibers. Different textile methods such as knitting, weaving, and braiding are discussed and their current applications in tissue engineering are highlighted.
A Remark on CFT Realization of Quantum Doubles of Subfactors: Case Index { < 4}
Bischoff, Marcel
2016-03-01
It is well known that the quantum double {D(Nsubset M)} of a finite depth subfactor {Nsubset M}, or equivalently the Drinfeld center of the even part fusion category, is a unitary modular tensor category. It is big open conjecture that all (unitary) modular tensor categories arise from conformal field theory. We show that for every subfactor {Nsubset M} with index {[M:N] construct completely rational nets with the opposite braiding of {{SU(2)}_k} and use the well-known fact that all subfactors with index {[M:N] < 4} arise by {α}-induction from {{SU(2)}_k}.
The cyclic fatigue behavior of a Nicalon/SiC composite
Energy Technology Data Exchange (ETDEWEB)
Miriyala, N.; Liaw, P.K.; McHargue, C.J. [Univ. of Tennessee, Knoxville, TN (United States); Snead, L.L. [Oak Ridge National Lab., TN (United States)
1996-10-01
Cyclic fatigue tests were performed at ambient temperature on a Nicalon/SiC composite to study the effects of fabric orientation on the mechanical behavior. Four-point bend specimens were loaded either parallel or normal to the braided fabric plies. The maximum stresses chosen during the fatigue tests were 60, 70, and 80% of the monotonic strengths, respectively, in both orientations. Specimen failure did not occur in any case even after one million loading cycles. However, it was observed that much of the decrease in the composite modulus occurred in the first few (<10) cycles, and the fabric orientation did not significantly affect the effective modulus or midspan deflection trends.
High Efficiency to Develop in Cainan Oilfield
Institute of Scientific and Technical Information of China (English)
Zhao Lichun; Sun Chuansheng; Chen Gengwen
1994-01-01
@@ Introdution Cainan Oilfield is located in the desert area,eastern Junggar Basin, with regional structure scattering over the slope zones in central uplift of the basin. In May 1990, commercial oil and gas flow was discovered in Well Cainan-2, and further prospecting obtained oil-bearing area of 57. 2 km2with reserves 62. 52 million tons. Jurassic reservoir is braided-river deposit, whose main oil-bearing lithology is middle fine grained sandstone. Sangonghe and Xishanyao Formation have average porosities of 19% and 15% respectively, and are bounded in the same pressure system. Sangonghe Formation has the saturation degree of 71. 3%.
Gou, Li-Dan; Xue, Kang; Wang, Gang-Cheng
2011-02-01
We present a 9 × 9 S-matrix and E-matrix. A representation of specialized Birman—Wenzl—Murakami algebra is obtained. Starting from the given braid group representation S-matrix, we obtain the trigonometric solution of Yang-Baxter equation. A unitary matrix Ř(x, ϕ1,ϕ2) is generated via the Yang—Baxterization approach. Then we construct a Yang—Baxter Hamiltonian through the unitary matrix Ř(x, ϕ1,ϕ2). Berry phase of this Yang—Baxter system is investigated in detail.
DEFF Research Database (Denmark)
Thorstad, Eva B.; Økland, Finn; Westerberg, Håkan
2013-01-01
Effects of implanting data-storage tags in European eel, Anguilla anguilla, and the suitability of different suture materials (braided permanent silk, permanent monofilament, absorbable and absorbable antibacterial) were examined. The tags consisted of an electronic unit and three floats on a wire....... Antibacterial treatment had no effect on inflammation or healing rates. After 6 months, the tag started to become expelled through the incision in five fish (12%). The internal reaction appeared stronger around the floats, suggesting that the coating material of the floats created a tissue reaction, which...
A robust and well shielded thermal conductivity device for low temperature measurements.
Toews, W H; Hill, R W
2014-04-01
We present a compact mechanically robust thermal conductivity measurement apparatus for measurements at low temperatures (conductivity copper box is used to enclose the sample and all the components. The box provides protection for the thermometers, heater, and most importantly the sample increasing the portability of the mount. In addition to physical protection, the copper box is also effective at shielding radio frequency electromagnetic interference and thermal radiation, which is essential for low temperature measurements. A printed circuit board in conjunction with a braided ribbon cable is used to organize the delicate wiring and provide mechanical robustness.
Entropic manifestations of topological order in three dimensions
Bullivant, Alex; Pachos, Jiannis K.
2016-03-01
We evaluate the entanglement entropy of exactly solvable Hamiltonians corresponding to general families of three-dimensional topological models. We show that the modification to the entropic area law due to three-dimensional topological properties is richer than the two-dimensional case. In addition to the reduction of the entropy caused by a nonzero vacuum expectation value of contractible loop operators, a topological invariant emerges that increases the entropy if the model consists of nontrivially braiding anyons. As a result the three-dimensional topological entanglement entropy provides only partial information about the two entropic topological invariants.
Baez, J C; Baez, John C.; Langford, Laurel
1997-01-01
Just as links may be algebraically described as certain morphisms in the category of tangles, compact surfaces smoothly embedded in R^4 may be described as certain 2-morphisms in the 2-category of `2-tangles in 4 dimensions'. In this announcement we give a purely algebraic characterization of the 2-category of unframed unoriented 2-tangles in 4 dimensions as the `free semistrict braided monoidal 2-category with duals on one unframed self-dual object'. A forthcoming paper will contain a proof of this result using the movie moves of Carter, Rieger and Saito. We comment on how one might use this result to construct invariants of 2-tangles.
Fusion rules of equivariantizations of fusion categories
2012-01-01
We determine the fusion rules of the equivariantization of a fusion category $\\mathcal{C}$ under the action of a finite group $G$ in terms of the fusion rules of $\\mathcal{C}$ and group-theoretical data associated to the group action. As an application we obtain a formula for the fusion rules in an equivariantization of a pointed fusion category in terms of group-theoretical data. This entails a description of the fusion rules in any braided group-theoretical fusion category.
Investigation of Hygro-Thermal Aging on Carbon/Epoxy Materials for Jet Engine Fan Sections
Kohlman, Lee W.; Roberts, Gary D.; Miller, Sandi G.; Pereira, J. Michael
2011-01-01
This poster summarizes 2 years of aging on E862 epoxy and E862 epoxy with triaxial braided T700s carbon fiber composite. Several test methods were used to characterize chemical, physical, and mechanical properties of both the resin and composite materials. The aging cycle that was used included varying temperature and humidity exposure. The goal was to evaluate the environmental effects on a potential jet engine fan section material. Some changes were noted in the resin which resulted in increased brittleness, though this did not significantly affect the tensile and impact test results. A potential decrease in compression strength requires additional investigation.
Knot invariants and higher representation theory II: the categorification of quantum knot invariants
Webster, Ben
2010-01-01
We construct knot invariants categorifying the quantum knot variants for all representations of quantum groups. We show that these invariants coincide with previous invariants defined by Khovanov for sl_2 and sl_3 and by Mazorchuk-Stroppel and Sussan for sl_n. We also suggest an approach to showing that these knot homologies are functorial. Our technique uses categorifications of the tensor products of integrable representations of Kac-Moody algebras and quantum groups, constructed a prequel to this paper. In particular, we construct functors on these categorifying the action of the braiding and duality of quantum group representations. These categories are based on the pictorial approach of Khovanov and Lauda.
Note on online books and articles about the history of dissociation.
Alvarado, Carlos S
2008-01-01
Students of the history of dissociation will be interested in the materials on the subject available in the digital document database Google Book Search. This includes a variety of books and journals covering automatic writing, hypnosis, mediumship, multiple personality, trance, somnambulism, and other topics. Among the authors represented in the database are: Eugène Azam, Alfred Binet, James Braid, Jean-Martin Charcot, Pierre Janet, Frederic W.H. Myers, Morton Prince, and Boris Sidis, among others. The database includes examples of case reports, conceptual discussions, and psychiatric and psychological textbook literature.
A quantum analogue of the Grothendieck-Teichmueller group
Schlesinger, K G
2002-01-01
We introduce a self-dual, noncommutative and noncocommutative Hopf algebra H sub G sub T which takes for certain Hopf categories (and therefore braided monoidal bicategories) a similar role to the Grothendieck-Teichmueller group for quasitensor categories. We also give a result which highly restricts the possibility for similar structures for higher weak n-categories (n >= 3) by showing that these structures would not allow for any nontrivial deformations. Finally, we give an explicit description of the elements of H sub G sub T.
Shock isolator for operating a diode laser on a closed-cycle refrigerator
Jennings, D. E. (Inventor)
1979-01-01
A diode laser mounted within a helium refrigerator is mounted using a braided copper ground strap which provides good impact shock isolation from the refrigerator cold-tip while also providing a good thermal link to the cold-tip. The diode mount also contains a rigid stand-off assembly consisting of alternate sections of nylon and copper which serve as cold stations to improve thermal isolation from the vaccum housing mounting structure. Included in the mount is a Pb-In alloy wafer inserted between the cold-tip and the diode to damp temperature fluctuations occurring at the cold-tip.
A 9 × 9 Matrix Representation of Birman-Wenzl-Murakami Algebra and Berry Phase in Yang-Baxter System
Institute of Scientific and Technical Information of China (English)
GOU Li-Dan; XUE Kang; WANG Gang-Cheng
2011-01-01
We present a 9 × 9 S-matrix and E-matrix. A representation of specialized Birman-Wenzl-Murakami algebra is obtained. Starting from the given braid group representation S-matrix, we obtain the trigonometric solution of Yang-Baxter equation. A unitary matrix R(x,φ1,φ2) is generated via the Yang-Baxterization approach. Then we construct a Yang-Baxter Hamiltonian through the unitary matrixR(x, φ1, φ2). Berry phase of this Yang-Baxter system is investigated in detail.
Ho, Choon-Lin; Hosotani, Yutaka
Starting from the quantum field theory of nonrelativistic matter on a torus interacting with Chern-Simons gauge fields, we derive the Schrödinger equation for an anyon system. The nonintegrable phases of the Wilson line integrals on a torus play an essential role. In addition to generating degenerate vacua, they enter in the definition of a many-body Schrödinger wave function in quantum mechanics, which can be defined as a regular function of the coordinates of anyons. It obeys a non-Abelian representation of the braid group algebra, being related to Einarsson’s wave function by a singular gauge transformation.
Single-thread channels resulting from a localization process driven by vegetation
Narteau, C.; Tal, M.
2009-12-01
The unpredictable manner in which braided rivers evolve is in stark contrast to the orderly migration pattern of meandering rivers driven by erosion along outer bends and deposition along inner banks. Braided channels are the default pattern that develops when an unbounded water flow interacts with noncohesive sediment. A series of laboratory experiments demonstrated that plants alone are able to achieve the two key mechanisms to developing meandering: slowing the rate of widening and discouraging channel cutoffs. Plants initially colonized braid-bars that were emergent during low flow. By adding cohesion to the sediment and increasing roughness, vegetation deterred the flow from reoccupying areas which were colonized. By decreasing erosion rates, plants made it possible for deposition along the inner bank to match the rate of erosion along the outer bank. This enabled the channel to develop sinuosity and migrate laterally while suppressing channel splitting and the creation of new channel width. Areas with established vegetation provided stable conditions which promoted new seedling establishment and expansion of the vegetated area. A generic mechanism of width production in the braided state is the opportunistic creation of new channels. As existing flow paths become slightly less favorable, for example by bar deposition or an increase in sinuosity, new ones are readily created in areas that are not currently occupied by flow. By making it more difficult for flow to occupy vegetated areas, plants in effect decouple the transition between wet and dry areas, making it harder for areas that are dry (vegetated) to turn wet (reoccupied by flow) and less likely for areas that are wet to become dry. The net effect is localization of the flow into a single-thread channel with transitions between wet and dry occurring predominantly along the channel margin and driving lateral migration while a single-thread channel remains intact. We are using a 1D cellular automata model
Topological Mixing with Ghost Rods
2005-01-01
Topological chaos relies on the periodic motion of obstacles in a two-dimensional flow in order to form nontrivial braids. This motion generates exponential stretching of material lines, and hence efficient mixing. Boyland et al. [P. L. Boyland, H. Aref, and M. A. Stremler, J. Fluid Mech. 403, 277 (2000)] have studied a specific periodic motion of rods that exhibits topological chaos in a viscous fluid. We show that it is possible to extend their work to cases where the motion of the stirring...
Combinatorics of Link Diagrams and Volume
Giambrone, Adam
2013-01-01
We show that the volumes of certain hyperbolic A-adequate links can be bounded (above and) below in terms of two diagrammatic quantities: the twist number and the number of certain alternating tangles in an A-adequate diagram. We then restrict our attention to plat closures of certain braids, a rich family of links whose volumes can be bounded in terms of the twist number alone. Furthermore, in the absence of special tangles, our volume bounds can be expressed in terms of a single stable coef...
Geometric and unipotent crystals
Berenstein, Arkady; Kazhdan, David
1999-01-01
In this paper we introduce geometric crystals and unipotent crystals which are algebro-geometric analogues of Kashiwara's crystal bases. Given a reductive group G, let I be the set of vertices of the Dynkin diagram of G and T be the maximal torus of G. The structure of a geometric G-crystal on an algebraic variety X consists of a rational morphism \\gamma:X-->T and a compatible family e_i:G_m\\times X-->X, i\\in I of rational actions of the multiplicative group G_m satisfying certain braid-like ...
Effective field theory for a p -wave superconductor in the subgap regime
Hansson, T. H.; Kvorning, T.; Nair, V. P.; Sreejith, G. J.
2015-02-01
We construct an effective field theory for the 2 d spinless p -wave paired superconductor that faithfully describes the topological properties of the bulk state, and also provides a model for the subgap states at vortex cores and edges. In particular, it captures the topologically protected zero modes and has the correct ground-state degeneracy on the torus. We also show that our effective field theory becomes a topological field theory in a well defined scaling limit and that the vortices have the expected non-Abelian braiding statistics.
Understanding middle school math cool problems to get students thinking and connecting
Hyde, Arthur; Heck, Cheryl
2009-01-01
In Understanding Middle School Math, Arthur Hyde gathers 50 cool problems that lead to deep thinking. Problems such as Chocolate Algebra, where students discover linear relationships among the pocket money needed for differently priced chocolate candies. With the latest research and decades of classroom experience, he braids language, cognition, and math to create problems that connect math to the real world, to students' lives, and to prior knowledge. Extensively field-tested problems that scaffold content and processes, and give students multiple entry points into learning.
Fractional statistics and quantum theory
Khare, Avinash
1997-01-01
This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced research workers with a reasonable background in quantum and statistical mechanics. The main emphasis will be on explaining new concepts. Topics in the first part of the book includes the flux tube model of anyons, the braid group and quantum and statistical mechanics of noninteracting anyon gas. The second part of the book provides a detailed discussion about f
Investigations into Alternative Desorption Agents for Amidoxime-Based Polymeric Uranium Adsorbents
Energy Technology Data Exchange (ETDEWEB)
Gill, Gary A. [Pacific Northwest National Lab. (PNNL), Richland, WA (United States); Kuo, Li-Jung [Pacific Northwest National Lab. (PNNL), Richland, WA (United States); Strivens, Jonathan E. [Pacific Northwest National Lab. (PNNL), Richland, WA (United States); Wood, Jordana R. [Pacific Northwest National Lab. (PNNL), Richland, WA (United States); Wai, Chien [LCW Supercritical Technologies, Inc., Seattle, WA (United States); Pan, Horng-Bin [Univ. of Idaho, Moscow, ID (United States)
2015-06-01
Amidoxime-based polymeric braid adsorbents that can extract uranium (U) from seawater are being developed to provide a sustainable supply of fuel for nuclear reactors. A critical step in the development of the technology is to develop elution procedures to selectively remove U from the adsorbents and to do so in a manner that allows the adsorbent material to be reused. This study investigates use of high concentrations of bicarbonate along with targeted chelating agents as an alternative means to the mild acid elution procedures currently in use for selectively eluting uranium from amidoxime-based polymeric adsorbents.