Special Session 126: Defects, Microstructures, and Failure: Multiscale Variational Models

Homogenisation of free discontinuity problems with cohesive type surface terms
Davide Donati
SISSA, Trieste
Italy
Co-Author(s):    Gianni Dal Maso
Abstract:
We study homogenisation problems for free discontinuity functionals depending on vector-valued functions under new hypotheses on the surface energies. We prove necessary and sufficient conditions for an homogenisation phenomenon to occur and show that these conditions are always satisfied under the usual hypotheses of stochastic homogenisation.