Martedì 29 Settembre 2015, alle ore 15 Dr. Lucia Scardia (Bath University, UK)

 Martedì 29 Settembre 2015, alle ore 15 precise, presso la sala
conferenze dell'IMATI-CNR di Pavia, la

Dr. Lucia Scardia (Bath University, UK)

terrà un seminario dal titolo:


nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e
Dipartimento di Matematica, Pavia).

Al termine della conferenza sarà organizzato un piccolo rinfresco.


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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