Date/heure
6 février 2018
10:45 - 11:45
Oratrice ou orateur
Vito Crismale
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
The seminar concerns the approximation à la Ambrosio-Tortorelli of the Griffith energy functional for brittle fracture. While the Griffith energy depends on the n-1 dimensional discontinuity set of any function, the approximating energies are elliptic functionals (depending on a further emph{phase field} variable) so more convenient to minimise by Numerical Analysis techniques. For this reason this phase field approximation is employed in a large number of Mechanical works. The result applies to the Dirichlet minimisation problem and follows from a sharp density result in the energy space for the Griffith functional, that can be applied in other situations, e.g. to prove different approximations of Griffith energy.