Abstract for the talk on 15.07.2022 (09:00 h)

Arbeitsgemeinschaft ANGEWANDTE ANALYSIS

Annika Bach (Università degli Studi di Roma "La Sapienza")
Gradient damage models for periodically heterogeneous media

In this seminar we will study the asymptotic behaviour of phase-field functionals of Ambrosio and Tortorelli type allowing for small-scale oscillations both in the volume and in the diffuse surface

term. The functionals under examination can be interpreted as an instance of a static gradient

damage model for periodically heterogeneous materials. Depending on the mutual vanishing rate

of the phase-field parameter and the oscillation parameter, the effective behaviour of the model

will be fully characterised by means of Γ-convergence.

This is joint work with T. Esposito, R. Marziani, and C. I. Zeppieri (Münster).