Results 11 to 20 of about 2,535 (228)
Nonlocal elastodynamics and fracture [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2021 AbstractA nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack.
Robert P. Lipton, Prashant K. Jha
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Reissner-Mindlin plate theory for elastodynamics
Journal of Applied Mathematics, 2004 Existence and uniqueness of solution are proved for elastodynamics of Reissner-Mindlin plate model. Higher regularity is proved under the assumptions of smoother data and certain compatibility conditions. A mass scaling is introduced.
Shen Rong Wu
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Hamilton, Ritz, and Elastodynamics
Journal of Applied Mechanics, 1976 The theory of Ritz is applied to the equation that Hamilton called the “Law of Varying Action.” Direct analytical solutions are obtained for the transient motion of beams, both conservative and nonconservative. The results achieved are compared to exact solutions obtained by the use of rigorously exact free-vibration modes in the differential equations
C. D. Bailey
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Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.
Yuri Bozhkov, Peter J. Olver
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Elastodynamic Analysis:Lecture notes for the course“Elastodynamics”
, 2004 This book contains the lecture notes for the 9th semester course on elastodynamics. The first chapter gives an overview of the basic theory of stress waves propagating in viscoelastic media. In particular, the effect of surfaces and interfaces in a viscoelastic material is studied, and different mechanisms influencing the wave propagation are discussed.
Andersen, Lars
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Spin Elastodynamic Motive Force [PDF]
Physical Review Letters, 2022 5 pages, 2 ...
Takumi Funato, Mamoru Matsuo
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Riemann Problem for a limiting system in elastodynamics
Electronic Journal of Differential Equations, 2014 This article concerns the resolution of the Riemann problem for a 2x2 system in nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the limiting equation (depending on a parameter tending to 0) of a 2x2 strictly ...
Anupam Pal Choudhury
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Scattering fidelity in elastodynamics [PDF]
Physical Review E, 2006 The recent introduction of the concept of scattering fidelity, causes us to revisit the experiment by Lobkis and Weaver [Phys. Rev. Lett. 90, 254302 (2003)]. There, the ``distortion'' of the coda of an acoustic signal is measured under temperature changes. This quantity is in fact the negative logarithm of scattering fidelity.
Gorin, T., Seligman, T., Weaver, R.
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Justification of the Cauchy-Born approximation of elastodynamics [PDF]
, 2013 We present sharp convergence results for the Cauchy-Born approximation of general classical atomistic interactions, for static problems with small data and for dynamic problems on a macroscopic time ...
Ortner, Christoph, Theil, Florian
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Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – Application to transient elastodynamics in space-time domain [PDF]
, 2014 It is now well established that separated representations built with the help of proper generalized decomposition (PGD) can drastically reduce computational costs associated with solution of a wide variety of problems.
BOUCINHA, Lucas +3 more
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