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arXiv · 1905.10298

Partial regularity for the crack set minimizing the two-dimensional Griffith energy

Jean-François Babadjian·Flaviana Iurlano·Antoine Lemenant
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Abstract

In this paper we prove a $\mathcal C^{1,\alpha}$ 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 $\mathcal C^{1,\alpha}$ curve outside a set of zero Hausdorff measure.

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Jean-François Babadjian, Flaviana Iurlano, Antoine Lemenant. 2019-05-23. Partial regularity for the crack set minimizing the two-dimensional Griffith energy. https://arxiv.org/abs/1905.10298

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