Homogenization of dislocation dynamics

Details Homogenization of dislocation dynamics Homogenization of dislocation dynamics

2009-03-08

arxiv.org/abs/0903.1441v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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