Partial regularity for the crack set minimizing the two-dimensional Griffith energy
Analysis of PDEs
2019-05-27 v1
Abstract
In this paper we prove a regularity result for minimizers of the planar Griffith functional arising from a variational model of brittle fracture. We prove that any isolated connected component of the crack, the singular set of a minimizer, is locally a curve outside a set of zero Hausdorff measure.
Keywords
Cite
@article{arxiv.1905.10298,
title = {Partial regularity for the crack set minimizing the two-dimensional Griffith energy},
author = {Jean-François Babadjian and Flaviana Iurlano and Antoine Lemenant},
journal= {arXiv preprint arXiv:1905.10298},
year = {2019}
}