A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians
arXiv:1408.0541 · doi:10.4310/CMS.2012.v10.n1.a5
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.
29 pages