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January 2022
A voir
J.F. Babadjian
Lundi 25 septembre 2017
J.F. Babadjian (Université Paris-Sud, Orsay)
Concentration analysis of brittle damage
Résumé
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, the stiffness of the damaged material becomes arbitrarily small. Two non trivial regimes will be highlighted. For the first one, damage is so negligible that the model converges to a purely elastic one. In the second regime, concentration leads to a limiting energy with linear growth as typically encountered in plasticity. This is an ongoing work with F. Iurlano.