Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures
Analysis of PDEs
2007-05-23 v1
Abstract
We define a notion of quasi-static evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evolution converges to a quasi-static growth of brittle fractures in linearly elastic bodies.
Keywords
Cite
@article{arxiv.math/0303040,
title = {Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures},
author = {Alessandro Giacomini},
journal= {arXiv preprint arXiv:math/0303040},
year = {2007}
}
Comments
34 pages