Calculus of Variations and Geometric Measure Theory
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D. Grandi - M. Kruzik - E. Mainini - U. Stefanelli

A phase-field approach to Eulerian interfacial energies

created by mainini on 28 May 2018

[BibTeX]

Preprint

Inserted: 28 may 2018
Last Updated: 28 may 2018

Year: 2018

Abstract:

We analyze a phase-field approximation of a sharp-interface model for two-phase materials proposed by M. Silhavy $[$32,33$]$. The distinguishing trait of the model resides in the fact that the interfacial term is Eulerian in nature, for it is defined on the deformed configuration. We discuss a functional frame allowing for existence of phase-field minimizers and $\Gamma$-convergence to the sharp-interface limit. As a by-product, we provide additional detail on admissible sharp-interface configurations with respect to the analysis in $[$32,33$]$.


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