Mercoledì 2 Luglio 2019, alle ore 15 precise, presso **Aula Beltrami, Dipartimento di Matematica** il

Prof. Jean-François Babadjian, Université Paris Sud

terrà un seminario dal titolo:

Concentration versus oscillation effects in brittle damage

nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e Dipartimento di Matematica, Pavia),


Abstract. 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. In the most interesting regime, the quadratic growth elastic energy degenerates into a linear growth energy as typically encountered in plasticity theory. The analysis requires a carefull study of the interplay between oscillations (due to homogenization effects) and concentration (due to the degeneracy of the energy growth) of minimizing sequences. This is a joint work with F. Iurlano and F. Rindler.