Accepted Paper

Inserted: 22 may 2019
Last Updated: 4 jan 2022

Journal: J. Eur. Math. Soc.
Year: 2019

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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