Analytical and numerical relaxation results for models in soil mechanics
Analysis of PDEs
2023-05-31 v1
Abstract
A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For a one-dimensional model problem, an explicit expression for the quasiconvex envelope can be found which turns out to be essentially independent of the original pressure-dependent yield surface. The model problem can be extended to higher dimensions in an empirical manner. Numerical simulation exhibit well-posed behavior showing mesh-independent results.
Keywords
Cite
@article{arxiv.2212.11783,
title = {Analytical and numerical relaxation results for models in soil mechanics},
author = {Florian Behr and Georg Dolzmann and Klaus Hackl and Ghina Jezdan},
journal= {arXiv preprint arXiv:2212.11783},
year = {2023}
}
Comments
Submitted to Cont. Mech. Thermodyn