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 existence of energy minimizing equilibrium states and Γ-convergence of diffuse-interface approximations to the sharp-interface limit.

Equilibrium for Multiphase Solids with Eulerian Interfaces

Diego Grandi;
2020

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 existence of energy minimizing equilibrium states and Γ-convergence of diffuse-interface approximations to the sharp-interface limit.
2020
Grandi, Diego; Kružík, Martin; Mainini, Edoardo; Stefanelli, Ulisse
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2433198
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