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Paper detail

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

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.

preprint2014arXivOpen access
Alexey MiroshnikovAthanasios E. Tzavaras
math.AP
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Alexey MiroshnikovAthanasios E. Tzavaras

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