# Equilibrium for multiphase solids with Eulerian interfaces

created by mainini on 13 May 2020

[BibTeX]

Preprint

Inserted: 13 may 2020

Year: 2020

ArXiv: 2005.05663 PDF

Abstract:

We describe a general phase-field model for hyperelastic multiphase materials. The model features an elastic energy functional that depends on the phase-field variable and a surface energy term that depends in turn on the elastic deformation, as it measures interfaces in the deformed configuration. We prove the existence of energy minimizing equilibrium states and $\Gamma$-convergence of diffuse-interface approximations to the sharp-interface limit.

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