Quasistatic nonassociative plasticity at finite strains
Analysis of PDEs
2025-05-08 v2
Abstract
We investigate finite-strain elastoplastic evolution in the nonassociative setting. The constitutive material model is formulated in variational terms and coupled with the quasistatic equilibrium system. We introduce measure-valued energetic solutions and prove their existence via a time discretization approach. The existence theory hinges on a suitable regularization of the dissipation term via a space-time mollification. Eventually, we discuss the possibility of solving the problem in the setting of functions, instead of measures.
Keywords
Cite
@article{arxiv.2411.14316,
title = {Quasistatic nonassociative plasticity at finite strains},
author = {Ulisse Stefanelli and Andreas Vikelis},
journal= {arXiv preprint arXiv:2411.14316},
year = {2025}
}