Calculus of Variations and Geometric Measure Theory

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

Equilibrium for multiphase solids with Eulerian interfaces

created by mainini on 13 May 2020
modified on 29 Dec 2020


Published Paper

Inserted: 13 may 2020
Last Updated: 29 dec 2020

Journal: J. Elast.
Volume: 142
Pages: 409-431
Year: 2020

ArXiv: 2005.05663 PDF


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.