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arXiv · 1408.0541

A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians

Alexey Miroshnikov·Athanasios E. Tzavaras
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Abstract

We consider the equations describing the dynamics of radial motions for isotropic elastic materials; these form a system of non-homogeneous conservation laws. We construct a variational approximation scheme that decreases the total mechanical energy and at the same time leads to physically realizable motions that avoid interpenetration of matter.

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Alexey Miroshnikov, Athanasios E. Tzavaras. 2014-08-03. A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians. https://doi.org/10.4310/cms.2012.v10.n1.a5

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