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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

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • May 21, 2024 tba with Immanuel Zachhuber