A multi-phase transition model for dislocations with interfacial microstructure | Zendy

Simone Cacace | Zendy; Adriana Garroni | Zendy

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A multi-phase transition model for dislocations with interfacial microstructure

Author(s) -

Simone Cacace,

Adriana Garroni

Publication year - 2009

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/212

Subject(s) - microstructure , materials science , phase transition , phase (matter) , condensed matter physics , transition (genetics) , crystallography , physics , composite material , chemistry , quantum mechanics , biochemistry , gene

We study, by means Gamma-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 one-dimensional profile, but they can create microstructure

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