Damage dynamics, $G$-Convergence, Homogenization in dynamics, Threshold Conditions
Analysis of PDEs
2020-09-21 v1
Abstract
In this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoing damage. The dynamics that we construct also satisfies a threshold condition with the same threshold value that characterizes the quasi-static evolution of damage (see \cite{GL}).
Cite
@article{arxiv.2009.08660,
title = {Damage dynamics, $G$-Convergence, Homogenization in dynamics, Threshold Conditions},
author = {Adriana Garroni and Christopher J. Larsen and David Sarrocco},
journal= {arXiv preprint arXiv:2009.08660},
year = {2020}
}