JournalsifbVol. 11, No. 2pp. 291–316

A multi-phase transition model for dislocations with interfacial microstructure

  • Adriana Garroni

    Università di Roma La Sapienza, Italy
  • Simone Cacace

    Cité Descartes - Champs sur Marne, France
A multi-phase transition model for dislocations with interfacial microstructure cover
Download PDF

Abstract

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.

Cite this article

Adriana Garroni, Simone Cacace, A multi-phase transition model for dislocations with interfacial microstructure. Interfaces Free Bound. 11 (2009), no. 2, pp. 291–316

DOI 10.4171/IFB/212