Academic literature on the topic 'Matrix element generation'

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Journal articles on the topic "Matrix element generation"

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Dziekonski, Adam, Piotr Sypek, Adam Lamecki, and Michal Mrozowski. "FINITE ELEMENT MATRIX GENERATION ON A GPU." Progress In Electromagnetics Research 128 (2012): 249–65. http://dx.doi.org/10.2528/pier12040301.

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Jeyakarthikeyan, P. V., R. Yogeshwaran, and Karthikk Sridharan. "An Efficient Method to Generate Element Stiffness Matrix of Quadrilateral Elements in Closed Form on Application of Vehicle Analysis." Applied Mechanics and Materials 852 (September 2016): 582–87. http://dx.doi.org/10.4028/www.scientific.net/amm.852.582.

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This paper presents about generating elemental stiffness matrix for quadrilateral elements in closed form solution method for application on vehicle analysis which is convenient and simple as long as Jacobian is matrix of constant. The interpolation function of the field variable to be found can integrate explicitly once for all, which gives the constant universal matrices A, B and C. Therefore, stiffness matrix is no longer integration of the given functional, it is simple calculation of universal matrices and local co-ordinates of the element. So time taken for generation of element stiffnes
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Kiran, Utpal, Deepak Sharma, and Sachin Singh Gautam. "GPU-warp based finite element matrices generation and assembly using coloring method." Journal of Computational Design and Engineering 6, no. 4 (2018): 705–18. http://dx.doi.org/10.1016/j.jcde.2018.11.001.

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Abstract Finite element method has been successfully implemented on the graphics processing units to achieve a significant reduction in simulation time. In this paper, new strategies for the finite element matrix generation including numerical integration and assembly are proposed by using a warp per element for a given mesh. These strategies are developed using the well-known coloring method. The proposed strategies use a specialized algorithm to realize fine-grain parallelism and efficient use of on-chip memory resources. The warp shuffle feature of Compute Unified Device Architecture (CUDA)
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Bhatia, R. S., and G. S. Sekhon. "Generation of exact stiffness matrix for a conical shell element." Computers & Structures 70, no. 4 (1999): 425–35. http://dx.doi.org/10.1016/s0045-7949(98)00163-1.

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Sekhon, G. S., and R. S. Bhatia. "Generation of exact stiffness matrix for a spherical shell element." Computers & Structures 74, no. 3 (2000): 335–49. http://dx.doi.org/10.1016/s0045-7949(98)00316-2.

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Bhatia, R. S., and G. S. Sekhon. "Generation of an exact stiffness matrix for a cylindrical shell element." Computers & Structures 57, no. 1 (1995): 93–98. http://dx.doi.org/10.1016/0045-7949(94)00596-u.

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Stránský, Jan, and Martin Doškář. "Stochastic Wang Tiles Generation Using the Discrete Element Method." Applied Mechanics and Materials 821 (January 2016): 392–98. http://dx.doi.org/10.4028/www.scientific.net/amm.821.392.

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An algorithm generating morphology of 2D and 3D stochastic Wang tiles is presented in thiscontribution. The algorithm is based on the discrete element method (DEM) and is therefore applicableprimarily for matrix-based microstructures with separate inclusions with emphasis on producingmaximally random dense packings. An open-source free DEM code YADE was used for all the computations.The method is illustrated with a 2D exemplary realization of Wang tiling and comparisonagainst Periodic Unit Cell representation in terms of spatial statistics is provided.
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Dziekonski, A., P. Sypek, A. Lamecki, and M. Mrozowski. "Accuracy, Memory, and Speed Strategies in GPU-Based Finite-Element Matrix-Generation." IEEE Antennas and Wireless Propagation Letters 11 (2012): 1346–49. http://dx.doi.org/10.1109/lawp.2012.2227449.

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SOLIMAN, AHMED M. "SYNTHESIS OF CONTROLLED SOURCES BY ADMITTANCE MATRIX EXPANSION." Journal of Circuits, Systems and Computers 19, no. 03 (2010): 597–634. http://dx.doi.org/10.1142/s0218126610006323.

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The admittance matrix expansion method based on using nullors and pathological mirror elements is used to provide a systematic synthesis method of controlled sources. Four new realizations of the current controlled voltage source (CCVS) using a single grounded resistor are given. Three new nodal admittance matrix expansions (NAM) for the voltage controlled voltage source (VCVS) are introduced in this paper. The voltage mirror current mirror pair is used as intrinsic element in the NAM expansion. Eight new realizations for the noninverting VCVS using two grounded resistors are given. Eight real
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Дмитроченко, Олег, and Oleg Dmitrochenko. "DECIMAL NOMENCLATURE CODE DNCMKOT FOR IDENTIFICATION OF EXISTING AND AUTOMATED GENERATION OF NEW FINITE ELEMENTS." Bulletin of Bryansk state technical university 2017, no. 1 (2017): 207–17. http://dx.doi.org/10.12737/24955.

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The work purpose: a systematic (constant) clas-sification of finite elements for designation unity, the exclusion of repeated investigations and results dupli-cating.
 Methods. A decimal nomenclature dncmkot code for finite elements is offered. It is based on the geometry and structure presentation of
 node coordinates by integral (whole) parame-ters: d – dimensionality, n – nodes number, c – parameter defining a structure of node coordinates, for example, coordinates number in a node, m – number of interpolation polynomials of an element. For more complicated elements the applicatio
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Dissertations / Theses on the topic "Matrix element generation"

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Kuhn, Ralf. "Event generation at lepton colliders." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2002. http://nbn-resolving.de/urn:nbn:de:swb:14-1033454996140-50042.

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The Monte-Carlo simulation package APACIC++/AMEGIC++ is able to describe current and future electron-positron annihilation experiments, namely the LEP collider at CERN and the TESLA collider at DESY. APACIC++ is responsible for the complete generation of one event and AMEGIC++ deals with the exact calculation of matrix elements. The development of both programs was the major task of my thesis<br>Das Monte Carlo Simulationspaket APACIC++/AMEGIC++ ist in der Lage Elektron-Positron Annihilationsexperimente wie sie bei Lep am Cern stattfanden und zukuenftig an einem Linearbeschleuniger, z.B. Tesla
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Gleisberg, Tanju. "Automating methods to improve precision in Monte-Carlo event generation for particle colliders." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1208999423010-50333.

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This thesis concerns with numerical methods for a theoretical description of high energy particle scattering experiments. It focuses on fixed order perturbative calculations, i.e. on matrix elements and scattering cross sections at leading and next-to-leading order. For the leading order a number of algorithms for the matrix element generation and the numeric integration over the phase space are studied and implemented in a computer code, which allows to push the current limits on the complexity of the final state and the precision. For next-to-leading order calculations necessary steps toward
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Gleisberg, Tanju. "Automating methods to improve precision in Monte-Carlo event generation for particle colliders." Doctoral thesis, Technische Universität Dresden, 2007. https://tud.qucosa.de/id/qucosa%3A23900.

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This thesis concerns with numerical methods for a theoretical description of high energy particle scattering experiments. It focuses on fixed order perturbative calculations, i.e. on matrix elements and scattering cross sections at leading and next-to-leading order. For the leading order a number of algorithms for the matrix element generation and the numeric integration over the phase space are studied and implemented in a computer code, which allows to push the current limits on the complexity of the final state and the precision. For next-to-leading order calculations necessary steps toward
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Nolte, Stefan. "Mutual interactions of femtosecond pulses and transient gratings in nonlinear optical spectroscopy." Doctoral thesis, 2018. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-20181116828.

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This work is dedicated to a comprehensive experimental study on the interaction of femtosecond laser pulses with the nonlinear optical medium lithium niobate. The nonlinear optical response in the nanosecond regime was already studied extensively with a variety of techniques, whereas femtosecond pulses were mainly used in transient absorption or transient grating experiments. Naturally, the temporal resolution of these measurements depends on the pulse duration, however, dynamics during the pulse excitation were barely investigated. The motivation of this work is to widen the limits of femtos
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Books on the topic "Matrix element generation"

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Efremov, German. Modeling of chemical and technological processes. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1090526.

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In an accessible form, the textbook presents the theoretical foundations of physical and mathematical modeling; considers the modeling of mass, heat and momentum transfer processes, the relationship and analogy between them; studies the theory of similarity, its application in modeling, models of the structure of flows in apparatuses. Experimental-statistical and experimental-analytical modeling methods are also described, which include "black box" methods, planning passive, active full and fractional factor experiments, and adjusting models based on the results of the experiment. At the same
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Book chapters on the topic "Matrix element generation"

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Sauter, Stefan A., and Christoph Schwab. "Generating the Matrix Coefficients." In Boundary Element Methods. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-68093-2_5.

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Younes, Walid, Daniel Marc Gogny, and Jean-François Berger. "Matrix Elements of the Finite-Range Interaction." In A Microscopic Theory of Fission Dynamics Based on the Generator Coordinate Method. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04424-4_2.

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McCaslin, Sara E. "Parallelization of Closed-Form Stiffness Matrix Generation for Tetrahedral Finite Elements." In Lecture Notes in Electrical Engineering. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3558-7_60.

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Donati, Pierpaolo. "Impact of AI/Robotics on Human Relations: Co-evolution Through Hybridisation." In Robotics, AI, and Humanity. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-54173-6_18.

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AbstractThis chapter examines how the processes of human enhancement that have been brought about by the digital revolution (including AI and robotics, besides ICTs) have given rise to new social identities and relationships. The central question consists in asking how the Digital Technological Matrix, understood as a cultural code that supports artificial intelligence and related technologies, causes a hybridisation between the human and the non-human, and to what extent such hybridisation promotes or puts human dignity at risk. Hybridisation is defined here as entanglements and interchanges between digital machines, their ways of operating, and human elements in social practices. The issue is not whether AI or robots can assume human-like characteristics, but how they interact with humans and affect their social identities and relationships, thereby generating a new kind of society.
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Wang, Yingxu, Jason Huang, and Jingsheng Lei. "The Formal Design Models of a Universal Array (UA) and its Implementation." In Advances in Abstract Intelligence and Soft Computing. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2651-5.ch017.

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Arrays are one of the most fundamental and widely applied data structures, which are useful for modeling both logical designs and physical implementations of multi-dimensional data objects sharing the same type of homogeneous elements. However, there is a lack of a formal model of the universal array based on it any array instance can be derived. This paper studies the fundamental properties of Universal Array (UA) and presents a comprehensive design pattern. A denotational mathematics, Real-Time Process Algebra (RTPA), allows both architectural and behavioral models of UA to be rigorously designed and refined in a top-down approach. The conceptual model of UA is rigorously described by tuple- and matrix-based mathematical models. The architectural models of UA are created using RTPA architectural modeling methodologies known as the Unified Data Models (UDMs). The physical model of UA is implemented using linear list that is indexed by an offset pointer of elements. The behavioral models of UA are specified and refined by a set of Unified Process Models (UPMs). As a case study, the formal UA models are implemented in Java. This work has been applied in a number of real-time and nonreal-time systems such as compilers, a file management system, the real-time operating system (RTOS+), and the ADT library for an RTPA-based automatic code generation tool.
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Oikonomou, Kostas N., Rakesh K. Sinha, and Robert D. Doverspike. "Multi-Layer Network Performance and Reliability Analysis." In Networking and Telecommunications. IGI Global, 2010. http://dx.doi.org/10.4018/978-1-60566-986-1.ch014.

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The authors describe a methodology for evaluating the performability (combined performance and reliability) of large communications networks. Networks are represented by a 4-level hierarchical model, consisting of traffic matrix, network graph, “components” representing failure modes, and reliability information. Network states are assignments of modes to the network components, which usually represent network elements and their key modules, although they can be more abstract. The components can be binary or multi-modal, and each of their failure modes may change a set of attributes of the graph (e.g. the capacity or cost of a link). Their methodology also captures the effect of automatic restoration against network failures by including two common rerouting methods. To compute network performability measures, including upper and lower bounds on their cumulative distribution functions, we augment existing probabilistic state-space generation algorithms with our new “hybrid” algorithm. To characterize the network failures of highest impact, we compute the Pareto boundaries of the network’s risk space. The authors have developed a network analysis tool called nperf that embodies this methodology. To illustrate the methodology and the practicality of the tool, they describe a performability analysis of three design alternatives for a large commercial IP backbone network.
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Donohue, J., R. Eberhardt, and M. Kuhn. "The adoption of soil coefficients from FEA (Finite Element Analysis) models for use in stiffness matrix models to allow for multiple load cases generating large numbers of load combinations." In Underground. The Way to the Future. CRC Press, 2013. http://dx.doi.org/10.1201/b14769-113.

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Conference papers on the topic "Matrix element generation"

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Yamada, Yoshihide, Chin Zhun Jing, Nurul Huda Abd Rahman, et al. "Unequally Element Spacing Array Antenna with Butler Matrix Feed for 5G Mobile Base Station." In 2018 2nd International Conference on Telematics and Future Generation Networks (TAFGEN). IEEE, 2018. http://dx.doi.org/10.1109/tafgen.2018.8580461.

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Shiakolas, Panos S., David C. Wilhite, and Sara E. McCaslin. "Comparison of Computer Algebra Systems for Closed Form Stiffness Matrix Generation." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-88263.

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Computer algebra systems (CAS) have been advantageously employed to generate closed form expressions for finite elements. The advantages relate to the time improvements or savings realized by employing closed form generated expressions as compared to numerical integration. However as the element order increases, the size of the closed form generated expressions become unmanageable causing the source code files to possibly become unusable due to their size. One approach to reducing the size of the source files is to take advantage of the utilities found in CAS to identify common expressions or
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Fallahi, Behrooz, S. Lai, and C. Venkat. "A Finite Element Formulation of Flexible Slider Crank Mechanism Using Local Coordinates." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0271.

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Abstract The need for higher productivity has lead to the design of machines operating at higher speeds. At high speed the rigid body assumption is no longer valid and the links should be considered flexible. In this work a method which is based on Modified Lagrange Equation for modeling flexible mechanism is presented. The method posses a more computational efficiency for not requiring the transformation from the local coordinate system to the global coordinate system. Also an approach using the homogeneous coordinate for element matrices generation is presented. The approach leads to a forma
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Guo, Dan, Fu-Lei Chu, and Yong-Yong He. "Vibration Analysis of Rotor With Transverse Surface Cracks." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38041.

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The vibration of cracked rotor is investigated by numerical method. The FEM is used to model the rotor with cracks. Six degrees of freedom are considered in each elemental node. Full 6×6 flexibility matrix is deduced by Papadopoulos and Dimarogonas’ method, and 12×12 stiffness matrix of cracked element is derived. The influence of one or more cracks on the natural frequencies and different modals (including bending modal, torsion modal and longitudinal modal) of cracked rotor is explored. Vibration responses of rotor with open cracks or breathing crack loading by eccentric force and rotor grav
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Sato, Koichiro, Yoshiki Ujiie, and Yoshiyuki Matsuoka. "A Extended Algorithm for Generation of Fibrous Form in the Emergent Design System." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86444.

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In the early design process called conceptual design and basic design, diverse ideas of design must be obtained from global solution search under the constraint of unclear design conditions. It is difficult to apply the conventional engineering design method from the necessity of the setting of the objective function in the early design process. Therefore, in a previous study, the emergent design system, which is applicable from the early design process, has been proposed. In this study, the degree of freedom in an emergent design solution was extended, to form a method with two types of form
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Kim, H. G., Ian R. Grosse, and S. V. Nair. "Error Estimation and Mesh Optimization for Finite Element Analysis of Short Fiber Reinforced Composite Materials." In ASME 1992 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/cie1992-0099.

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Abstract Knowledge of internal stress fields in fiber or whisker reinforced composites is crucial to the design, manufacturing and applications of composites. Finite element analysis (FEA) presents the only rigorous approach to a solution of this problem. However, the application of FEA to composites requires careful attention to the geometry of the optimum mesh used in the analysis. Standard energy analysis and mesh refinement procedures have yet to be generalized or extended to the special case of fiber or whisker reinforced non-homogeneous composites. Current automatic mesh generation codes
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Madyala, Arun, and Adam Huang. "Characterization of 1st Generation High-Strain Elastomer MEMS Sensors for Morphing Aircraft Applications." In ASME 2007 InterPACK Conference collocated with the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ipack2007-33871.

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We have developed the first MEMS high-strain sensor based on the recently developed fabrication technology, the Direct Polymer Patterning On Substrate Technique (DPPOST). DPPOST allows lithographically defined elastomer structures to be directly patterned on a substrate in a similar fashion like the lift-off process of evaporated metals. Silicone elastomers (RTV-11 or RTV-615) are used as the matrix materials for the sensor element due to its mechanical properties and widespread availability. Carbon black nano-particles are used to provide the sensing element electrical resistivity on the orde
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Babič, A., S. Kovalenko, M. I. Krivoruchenko, and F. Šimkovic. "On the generation of Majorana neutrino mass via quark condensate." In WORKSHOP ON CALCULATION OF DOUBLE-BETA-DECAY MATRIX ELEMENTS (MEDEX’19). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5130962.

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Barabash, A. S., Osvaldo Civitarese, Ivan Stekl, and Jouni Suhonen. "New generation of double beta decay experiments: are there any limitations?" In WORKSHOP ON CALCULATION OF DOUBLE-BETA-DECAY MATRIX ELEMENTS (MEDEX '11). AIP, 2011. http://dx.doi.org/10.1063/1.3671027.

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Sibole, Scott, Craig Bennetts, and Ahmet Erdemir. "A Comparison of Hexahedral and Tetrahedral Finite Elements for Biphasic Analysis of Cartilage Micromechanics." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80365.

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Articular cartilage is a hydrated composite structure comprised of collagen type II extracellular matrix (ECM), collagen type VI pericellular matrix (PCM), and chondrocytes, each with low hydraulic permeability resulting in long viscoelastic stress relaxation times. Therefore, when subjected to fast loading, cartilage behaves as a nearly incompressible material [1]. When finite element analysis (FEA) is employed to solve mechanical problems involving nearly incompressible materials, a hexahedral finite element mesh is desirable [2]. Unfortunately, hexahedral mesh generation is difficult for co
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Reports on the topic "Matrix element generation"

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Gleisberg, Tanju, and Stefan Hoche. Comix, a New Matrix Element Generator. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/937200.

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