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