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arXiv · 0903.1438

Dislocation dynamics: from microscopic models to macroscopic crystal plasticity

A. El Hajj·H. Ibrahim·R. Monneau
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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.

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A. El Hajj, H. Ibrahim, R. Monneau. 2009-03-08. Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. https://doi.org/10.1007/s00161-009-0103-7

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