Dislocation dynamics: from microscopic models to macroscopic crystal plasticity
Analysis of PDEs
2015-05-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0903.1438,
title = {Dislocation dynamics: from microscopic models to macroscopic crystal plasticity},
author = {A. El Hajj and H. Ibrahim and R. Monneau},
journal= {arXiv preprint arXiv:0903.1438},
year = {2015}
}