Dipartimento di Matematica ''F. Casorati''

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Convergence of Interaction-driven Evolutions of Dislocations

Dr. Lucia Scardia, University of Bath

Sala conferenze IMATI-CNR - Martedì 29 Settembre 2015 h.15:00

Abstract. It is well known that the plastic, or permanent, deformation of a metal is caused by the
movement of curve-like defects in its crystal lattice. These defects are called dislocations.
What is not yet clear is how to use this microscale information to make theoretical predictions
at the continuum scale.
Motivated by this, M.G. Mora, M. Peletier and I considered a system of interacting dislocations
and studied the convergence of the evolution of the corresponding empirical measures in the limit
of many dislocations. In the continuum limit we obtained an evolution law for the dislocation density.
In this talk I will present this result and discuss its limitations and further extensions towards more realistic
and complex systems.

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Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
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