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 ?-convergence of diffuse-interface approximations to the sharp-interface limit.
Equilibrium for Multiphase Solids with Eulerian Interfaces
U Stefanelli
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 ?-convergence of diffuse-interface approximations to the sharp-interface limit.File in questo prodotto:
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Descrizione: Equilibrium for Multiphase Solids with Eulerian Interfaces
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Descrizione: Equilibrium for Multiphase Solids with Eulerian Interfaces
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