Hyperbolic structure for a simplified model of dynamical perfect plasticity
Abstract
This paper is devoted to confront two different approaches to the problem of dynam-ical perfect plasticity. Interpreting this model as a constrained boundary value Friedrichs' system enables one to derive admissible hyperbolic boundary conditions. Using variational methods, we show the well-posedness of this problem in a suitable weak measure theoretic setting. Thanks to the property of finite speed propagation, we establish a new regularity result for the solution in short time. Finally, we prove that this variational solution is actually a solution of the hyperbolic formulation in a suitable dissipative/entropic sense, and that a partial converse statement holds under an additional time regularity assumption for the dissipative solutions.
Cite
@article{arxiv.1601.03853,
title = {Hyperbolic structure for a simplified model of dynamical perfect plasticity},
author = {Jean-Francois Babadjian and Clément Mifsud},
journal= {arXiv preprint arXiv:1601.03853},
year = {2016}
}