Results 111 to 120 of about 3,049 (178)
Nonuniqueness for a Hyperbolic System: Cavitation in Nonlinear Elastodynamics
, 1987 Pericak-Spector, K.A.; Spector, S.J.. (1987). Nonuniqueness for a Hyperbolic System: Cavitation in Nonlinear Elastodynamics.
Spector, S.J., Pericak-Spector, K.A.
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, 2006 There are many different formulations of relativistic elasticity. Most of them are only concerned with formal questions rather than questions regarding the PDE point of view. The aim of this thesis is to obtain various local existence results for dynamical scenarios involving elastic matter.
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Dispersion Properties of Plane Quadratic Finite Elements in Elastodynamics
, 2005 Dispersion properties of quadratic finite elements in elastodynamics are derived. The relationship for the determination of the mesh density from the knowledge of the loading spectrum is ...
Kolman, Radek
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ElastoGen: 4D Generative Elastodynamics
Proceedings of the AAAI Conference on Artificial IntelligenceWe present ElastoGen, a knowledge-driven AI model that generates physically accurate 4D elastodynamics. Unlike deep models that learn from video- or image-based observations, ElastoGen leverages the principles of physics and learns from established mathematical and optimization procedures.
Yutao Feng +10 more
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Algebraic Formulation of Elastodynamics: the Cell Method
, 2010 This paper completes a preceeding paper on the algebraic formulation of elastostatics [Tonti, Zarantonello (2009)]. It shows how to obtain a numerical formulation for elastodynamics by avoiding any process of discretization of differential equations, i.e.
F. Zarantonello, E. Tonti
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Erratum: Robust and Efficient Penetration-Free Elastodynamics without Barriers
This is an erratum for the article “Robust and Efficient Penetration-Free Elastodynamics without Barriers” published in ACM Trans. Graph. 45, 5, Article 40 (June 2026), 20 pages.
Zhaofeng Luo, Minchen Li, Juntian Zheng
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An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
, 2003 We present an automated multilevel substructuring (AMLS) method for eigenvalue computations in linear elastodynamics in a variational and algebraic setting. AMLS first recursively partitions the domain of the PDE into a hierarchy of subdomains. Then AMLS
Jeffrey K. Bennighof, R.B. Lehoucq
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Convergence of variational approximation schemes for three dimensional elastodynamics with polyconvex energy [PDF]
, 2014 Miroshnikov, Alexey, Tzavaras, A. E.
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On local uniqueness in nonlinear elastodynamics
, 2006 A conservation law, derived from properties of the energy-momentum tensor, is used to establish uniqueness of suitably constrained solutions to the initial boundary value problem of nonlinear elastodynamics.
Knops, R. J.
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Using perfectly matched layers for elastodynamics
, 1996 This paper proves that a perfectly matched interface exists for linearized elastodynamics. This is easily done from the viewpoint of a stretched coordinate system.
Chew, WC, Liu, QH
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