Recent results on dislocation dynamics and homogenization

Nicolas Forcadel (1) , Cyril Imbert (2) , Régis Monneau (1)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

Dislocations are defects present in crystals that are one the main explanation of the plastic behaviour of metals. We are interested in the collective behaviour of such defects and present here an homogenization result in its simplest form.

Domaines: Equations aux dérivées partielles [math.AP]

Nicolas Forcadel, Cyril Imbert, Régis Monneau. Recent results on dislocation dynamics and homogenization. 2007. ⟨hal-00192054⟩