Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish
Analysis of PDEs
2022-04-12 v1
Abstract
The paper studies the asymptotic analysis of a model coupling elastoplasticity and damage depending on three parameters -- governing viscosity, plastic hardening, and convergence rate of plastic strain and displacement to equilibrium -- as they vanish in different orders. The notion of limit evolution obtained is proven to coincide in any case with a notion introduced by Crismale and Rossi in 2019; moreover, such solutions are closely related to those obtained in the vanishing-viscosity limit by Crismale and Lazzaroni in 2016, for the analogous model where only the viscosity parameter was present.
Keywords
Cite
@article{arxiv.2204.04248,
title = {Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish},
author = {Vito Crismale and Giuliano Lazzaroni and Riccarda Rossi},
journal= {arXiv preprint arXiv:2204.04248},
year = {2022}
}