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Micro-to-macro homogenization for elasto-plasticity driven by dislocation motion

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DNMW06 - Recent challenges in the mathematical design of new materials

The homogenization problem in elasto-plasticity concerns the passage from discrete to fields of dislocations. While much consensus exists on what the physical laws are for the individual dislocations, it is not clear – and in fact one of the most pressing open problems of solid mechanics – how to formulate laws for the movement of dislocation fields and the corresponding elasto-plastic effects. I will present some recent results showing that in a prototypical model of small-strain, geometrically linear plasticity in single crystals and with rate-independent dynamics, such a homogenization procedure from discrete dislocation lines to dislocation fields can indeed be carried out in a rigorous fashion.

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

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Place of an Intellectual James Fawcett Seminar Room, van Geest Building Goldsmiths 1, Lecture Theatre, Department of Materials Science & Metallurgy

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