MATHEMATICAL MODELS FOR DISLOCATIONS

Rome, December 13, 2007

The mathematical modelling of defects in cristals (the dislocations) is crucial to understand the microstructure of advanced materials and has a big impact on technological applications (e.g. in microelectronics). The talks of this workshop will describe different approaches to the analysis and simulation of dislocations ranging from variational models to evolutive differential models for their dynamics. Some simulations based on atomistic computations and level set methods will be presented.

The workshop is sponsored by the Galileo Project 2007 "Algorithms for the dynamic of dislocations and applications".

Organizers:
Maurizio Falcone (SAPIENZA, Università di Roma)
Regis Monneau (CERMICS, ENPC)

Venue:
Dipartimento di Matematica, SAPIENZA Università di Roma
Piazzale Aldo Moro, 2 - 10185 Roma
Room: Aula di Consiglio

Scientific Program:

10.00 R. Monneau (CERMICS, ENPC, Marne La Vallé)
"Mathematical modelling of dislocation dynamics"
10.45 Coffee Break (30 min)
11.15 M. Ponsiglione (SAPIENZA, Università di Roma)
"A variational model for plasticity via homogenization of straight dislocations"
12.00 N. Forcadel (ENSTA, Paris)
"Homegenization of dislocation dynamics"
12.45-14.00   Lunch break
14.15 A. Mattoni (SLACS, Università di Cagliari)
"Atomically informed modeling of the microstructure evolution of nanocrystalline materials"
15.00 E. Carlini (SAPIENZA, Università di Roma)
"Numerical approximation of dislocation dynamics"
15.40 A. Garroni (SAPIENZA, Università di Roma)
"A line tension approximation for dislocations"

Abstract of Lectures