Results 91 to 100 of about 2,535 (228)
Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions
, 2019 A weak-strong uniqueness result is proved for measure-valued solutions to the system of conservation laws arising in elastodynamics. The main novelty brought forward by the present work is that the underlying stored-energy function of the material is ...
Konstantinos Koumatos (4467496) +1 more
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Journal of Applied Mathematics, 2007 The three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The variational formulation of corresponding boundary-value problem is constructed.
M. Eröz, A. Yildiz
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Physics-Constrained Data-Driven Variational Method for Discrepancy Modeling. [PDF]
Comput Methods Appl Mech Eng, 2023 Masud A, Nashar S, Goraya S.
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The Turning Point of Elastodynamic Waves [PDF]
Geophysical Journal International, 1974 Summary It is demonstrated how a uniform asymptotic expansion can be developed for the elastodynamic wave equations in a spherically symmetric medium. The expansion is valid in the neighbourhood of first order turning points except at discontinuities.
openaire +2 more sources
Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms
Journal of Applied Mathematics, 2011 The enlargement and rupture of intracranial and abdominal aortic aneurysms constitutes a major medical problem. It has been suggested that enlargement and rupture are due to mechanical instabilities of the associated complex fluid-solid interaction in ...
A. Samuelson, P. Seshaiyer
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Branched flows of flexural elastic waves in non-uniform cylindrical shells. [PDF]
PLoS One, 2023 Jose K, Ferguson N, Bhaskar A.
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Some stability results in the linear theory of anisotropic elastodynamics
, 1976 Conditions are established to ensure continuous data dependence for classical solutions of certain initial-boundary value problems in linearised anisotropic elastodynamics. Two uniqueness theorems are also presented.
Beevers, C. E.
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Transient Response of a Fluid-Filled, Thick-Walled Spherical Shell Embedded in an Elastic Medium
E3S Web of Conferences, 2016 The paper addresses the problem of transient elastodynamics analysis of a thick-walled, fluid-filled spherical shell embedded in an elastic medium with an analytical approach.
Bahari Ako +3 more
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Generalized sub-region mixed and hybrid variational principles in nonlinear elastodynamics
, 1990 In this paper, the Hu-Washizu generalized variational principle is extended to nonlinear elastodynamics with five independent fields. The two kinds of framework of functional, the potential energy and complementary energy expressions containing the ...
Xing, Jing-Tang, Zheng, Zhao-Chang
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Exact solutions of a nonconservative system in elastodynamics
Electronic Journal of Differential Equations, 2015 In this article we find an explicit formula for solutions of a nonconservative system when the initial data lies in the level set of one of the Riemann invariants.
Kayyunnapara Thomas Joseph
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