A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians
Analysis of PDEs
2014-08-05 v1
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.
Keywords
Cite
@article{arxiv.1408.0541,
title = {A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians},
author = {Alexey Miroshnikov and Athanasios E. Tzavaras},
journal= {arXiv preprint arXiv:1408.0541},
year = {2014}
}
Comments
29 pages