From atomistic systems to linearized continuum models for elastic materials with voids
Analysis of PDEs
2022-12-28 v2
Abstract
We study an atomistic model that describes the microscopic formation of material voids inside elastically stressed solids under an additional curvature regularization at the discrete level. Using a discrete-to-continuum analysis, by means of a recent geometric rigidity result in variable domains [27] and {\Gamma}-convergence tools, we rigorously derive effective linearized continuum models for elastically stressed solids with material voids in three-dimensional elasticity.
Cite
@article{arxiv.2202.05018,
title = {From atomistic systems to linearized continuum models for elastic materials with voids},
author = {Manuel Friedrich and Leonard Kreutz and Konstantinos Zemas},
journal= {arXiv preprint arXiv:2202.05018},
year = {2022}
}