4.5 Article

Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition

Journal

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Volume 127, Issue -, Pages 160-191

Publisher

ELSEVIER
DOI: 10.1016/j.matpur.2018.08.006

Keywords

Wave equation; Elastodynamics; Dynamic fracture mechanics; Cracking domains

Funding

  1. European Research Council [290888]
  2. National Science Foundation [DMS-1616197]

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We consider a model of elastodynamics with fracture evolution, based on energy-dissipation balance and a maximal dissipation condition. We prove an existence result in the case of planar elasticity with a free crack path, where the maximal dissipation condition is satisfied among suitably regular competitor cracks. (C) 2018 Elsevier Masson SAS. All rights reserved.

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