Homogenization of dislocation dynamics
Analysis of PDEs
2015-05-13 v1
Abstract
In this paper we consider the dynamics of dislocations with the same Burgers vector, contained in the same glide plane, and moving in a material with periodic obstacles. We study two cases: i) the particular case of parallel straight dislocations and ii) the general case of curved dislocations. In each case, we perform rigorously the homogenization of the dynamics and predict the corresponding effective macroscopic elasto-visco-plastic flow rule.
Keywords
Cite
@article{arxiv.0903.1441,
title = {Homogenization of dislocation dynamics},
author = {A. El Hajj and H. Ibrahim and R. Monneau},
journal= {arXiv preprint arXiv:0903.1441},
year = {2015}
}