Geodesic
A multi-phase transition model for dislocations with interfacial microstructure
Simone Cacace1 ; Adriana Garroni2
1Cité Descartes - Champs sur Marne, France
2Università di Roma La Sapienza, Italy
Interfaces and free boundaries, Tome 11 (2009) no. 2, pp. 291-316

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DOI

We study, by means of Γ-convergence, the asymptotic behavior of a variational model for dislocations moving on a slip plane. The variational functional is a two-dimensional multi-phase transition-type energy given by a nonlocal term and a nonlinear potential which penalizes noninteger values for the components of the phase. In the limit we obtain an anisotropic sharp interfaces model. The relevant feature of this problem is that optimal sequences in general are not given by a onedimensional profile, but they can create microstructure.
DOI : 10.4171/ifb/212
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Simone Cacace  1   ; Adriana Garroni  2

1 Cité Descartes - Champs sur Marne, France
2 Università di Roma La Sapienza, Italy 
Simone Cacace; Adriana Garroni. A multi-phase transition model for dislocations with interfacial microstructure. Interfaces and free boundaries, Tome 11 (2009) no. 2, pp. 291-316. doi: 10.4171/ifb/212
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     title = {A multi-phase transition model for dislocations with interfacial microstructure},
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     pages = {291--316},
     year = {2009},
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     number = {2},
     doi = {10.4171/ifb/212},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/212/}
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