%0 Journal Article
%T Dislocation dynamics: from microscopic models to macroscopic crystal plasticity
%A A. El Hajj
%A H. Ibrahim
%A R. Monneau
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s00161-009-0103-7
%X In this paper we study the connection between four models describing dislocation dynamics: a generalized 2D Frenkel-Kontorova model at the atomic level, the Peierls-Nabarro model, the discrete dislocation dynamics and a macroscopic model with dislocation densities. We show how each model can be deduced from the previous one at a smaller scale.
%U http://arxiv.org/abs/0903.1438v1