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.

Equilibrium for multiphase solids with Eulerian interfaces

Edoardo Mainini;
2020-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/1030595
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