Lucia Scardia (University of Bath): Convergence of Interaction-driven Evolutions of Dislocations

Mittwoch, 13.07.2016 15:15 im Raum M5
Mathematik und Informatik

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.

Angelegt am Mittwoch, 15.06.2016 09:48 von cgiet_01
Geändert am Donnerstag, 11.05.2017 18:31 von wuebbel
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