HAL Id: hal-01390233 https://hal-enpc.archives-ouvertes.fr/hal-01390233 Submitted on 1 Nov 2016 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity-toughening mechanisms Jeremy Bleyer, Clément Roux-Langlois, Jean-François Molinari To cite this version: Jeremy Bleyer, Clément Roux-Langlois, Jean-François Molinari. Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity-toughening mecha- nisms. International Journal of Fracture, 2017, 204 (1), pp.79–100. 10.1007/s10704-016-0163-1. hal-01390233