Elastoplasticity of gradient-polyconvex materials
Analysis of PDEs
2021-09-01 v1
Abstract
We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we prove the existence of the so-called energetic solution. The stored energy density function is assumed to depend on gradients of minors of the deformation gradient which makes our results applicable to shape-memory materials, for instance.
Keywords
Cite
@article{arxiv.2012.15325,
title = {Elastoplasticity of gradient-polyconvex materials},
author = {Martin Kružík and Jiří Zeman},
journal= {arXiv preprint arXiv:2012.15325},
year = {2021}
}