Séance Séminaire

Séminaire ACSIOM

mardi 09 octobre 2018 à 11:30 - salle 109 (1er étage)

Vito Crismale ()

Minimisation and Ambrosio-Tortorelli approximation of the Griffith energy with Dirichlet boundary condition

I will present recent works about the minimisation of the Griffith energy for brittle fracture, under Dirichlet boundary conditions. Together with Antonin Chambolle (CMAP, École Polytechnique) we have proven the existence of minimisers and a phase-field approximation à la Ambrosio-Tortorelli for the Griffith energy, generalising the corresponding results for the Mumford-Shah functional in image reconstruction.