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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Sib. J. Pure and Appl. Math., 2016 Volume 16, Issue 3, Pages 55–60 (Mi vngu410)

This article is cited in 2 papers

A variational approximation scheme for the elastodynamic problems in the new class of admissible mappings

A. O. Molchanovaabc

a Peoples Friendship University of Russia, Moscow
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University

Abstract: We consider the variational approximation scheme for the elastodynamic problem in the 3D-case in the new class of admissible mappings which is related to the class of mappings with finite distortion.

Keywords: elastodynamics, mapping with finite distortion, polyconvexity, variational approximation scheme.

UDC: 517.518 + 517.54 + 517.97

Received: 13.07.2016

DOI: 10.17377/PAM.2016.16.305



© Steklov Math. Inst. of RAS, 2024