A variational principle for hardening elastoplasticity

Details A variational principle for hardening elastoplasticity A variational principle for hardening elastoplasticity

2007-10-12

arxiv.org/abs/0710.2425v1

Mathematics

Analysis of PDEs

29 pages, 1 figure

Scientific paper

We present a variational principle governing the quasistatic evolution of a linearized elastoplastic material. In case of linear hardening, the novel characterization allows to recover and partly extend some known results and proves itself to be especially well-suited for discussing general approximation and convergence issues. In particular, the variational principle is exploited in order to prove in a novel setting the convergence of time and space-time discretizations as well as to provide some possible a posteriori error control.

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