Special Session 75: 

A simple discrete model for damage exhibiting infinitely-many phases, and a continuum counterpart

Andrea Braides
University of Rome Tor Vergata
Italy
Co-Author(s):    Andrea Braides
Abstract:
We give a variational interpretation of a model by Novak and Truskinovsky of a discrete systems where microscopic fracture produces macroscopic damage. Depending on the arrangement at a discrete level the overall response corresponds to different damaged materials. We give a formal continuum counterpart depending on a small parameter mimicking the discrete dimension. The homogenized description as this parameter tends to zero departs from the previous one in certain regimes. Work in collaboration with A.Causin, M.Solci and L.Truskinovsky.