A discontinuous finite element approximation of quasi-static growth of brittle fractures
Analysis of PDEs
2007-05-23 v1
Abstract
We propose a discontinuous finite element approximation for a model of quasi-static growth of brittle fractures in linearly elastic bodies formulated by Francfort and Marigo, and based on the classical Griffith's criterion. We restrict our analysis to the case of anti-planar shear and we consider discontinuous displacements which are piecewise affine with respect to a regular triangulation.
Keywords
Cite
@article{arxiv.math/0304224,
title = {A discontinuous finite element approximation of quasi-static growth of brittle fractures},
author = {A. Giacomini and M. Ponsiglione},
journal= {arXiv preprint arXiv:math/0304224},
year = {2007}
}
Comments
34 pages, 4 figures