A $\Gamma$-convergence approach to stability of unilateral minimality properties
Analysis of PDEs
2007-05-23 v1
Abstract
We prove the stability of a large class of unilateral minimality properties which arise naturally in the theory of crack propagation proposed by Francfort and Marigo in [Revisiting brittle fractures as an energy minimization problem. J. Mech. Phys. Solids, 46 (1998), 1319-1342]. Then we give an application to the quasistatic evolution of cracks in composite materials.
Keywords
Cite
@article{arxiv.math/0510591,
title = {A $\Gamma$-convergence approach to stability of unilateral minimality properties},
author = {Alessandro Giacomini and Marcello Ponsiglione},
journal= {arXiv preprint arXiv:math/0510591},
year = {2007}
}