Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities
Analysis of PDEs
2021-10-06 v2 Functional Analysis
Abstract
We prove a compactness and semicontinuity result that applies to minimisation problems in nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a previous compactness theorem that we proved and employed to show existence of minimisers for the Dirichlet problem for the (homogeneous) Griffith energy.
Keywords
Cite
@article{arxiv.2006.00480,
title = {Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities},
author = {Antonin Chambolle and Vito Crismale},
journal= {arXiv preprint arXiv:2006.00480},
year = {2021}
}