Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

D. Grandi - M. Kruzik - E. Mainini - U. Stefanelli

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.

Credits | Cookie policy | HTML 5 | CSS 2.1