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Gradient damage models for periodically heterogeneous media

  • Annika Bach (Università degli Studi di Roma "La Sapienza")
E1 05 (Leibniz-Saal)

Abstract

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).

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • 30.04.2024 tba with Christian Wagner
  • 30.04.2024 tba with Annika Burmester
  • 21.05.2024 tba with Immanuel Zachhuber
  • 31.05.2024 tba with Olga Shishkina