Séminaire ACSIOM :

Le 04 décembre 2018 à 11:30 - salle 109 (1er étage)

Présentée par Iurlano Flaviana - LJLL (Paris 6)

Concentration analysis of brittle damage


This talk is concerned with an asymptotic analysis of a variational model of brittle damage, when the damaged zone concentrates into a set of zero Lebesgue measure, and, at the same time, the stiffness of the damaged material becomes arbitrarily small. In a particular non-trivial regime, concentration leads to a limit energy with linear growth as typically encountered in plasticity. I will show that, while the singular part of the limit energy can be easily described, the identification of the bulk part of the limit energy requires a subtler analysis of the concentration properties of the displacements. This is an ongoing work with J.-F. Babadjian and F. Rindler.