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Microstructures in martensites: Scaling regimes and optimal domain shapes

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DNMW01 - Optimal design of complex materials

Microstructures in martensites are often modeled variationally by singularly perturbed multiwell elastic energies. In this talk, I shall disusss recent analytical progress on the associated non-convex vector-valued energy minimisation problems. The focus will lie on scaling regimes for geometrically linear models for martensitic nuclei with small volume fraction of one martensitic variant, and on needle-like microstructures.
This talk is based on joint works with S. Conti, J. Diermeier, N. Lüthen, D. Melching, and M. Rumpf.

This talk is part of the Isaac Newton Institute Seminar Series series.

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