Dislocation dynamics: from microscopic models to macroscopic crystal plasticity

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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