Mathematics – Analysis of PDEs
Scientific paper
2009-03-08
Mathematics
Analysis of PDEs
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.
Hajj Ahmad El
Ibrahim Hassan
Monneau Régis
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