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arXiv · 2005.05663

Equilibrium for multiphase solids with Eulerian interfaces

Diego Grandi·Martin Kružík·Edoardo Mainini·Ulisse Stefanelli
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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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Diego Grandi, Martin Kružík, Edoardo Mainini, Ulisse Stefanelli. 2020-05-12. Equilibrium for multiphase solids with Eulerian interfaces. https://arxiv.org/abs/2005.05663

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