Partial regularity for the crack set minimizing the two-dimensional Griffith energy
Résumé
In this paper we prove a $C^{1,\alpha}$ 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 $C^{1,\alpha}$ curve outside a set of zero Hausdorff measure.
Domaines
Mathématiques générales [math.GM]
Origine : Fichiers produits par l'(les) auteur(s)
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