论文标题
与欧拉界面的多相固体平衡
Equilibrium for multiphase solids with Eulerian interfaces
论文作者
论文摘要
我们描述了超弹性多相材料的一般相位模型。该模型具有弹性能量功能，该功能取决于相位场变量和表面能项，该函数依次取决于弹性变形，因为它测量了变形配置中的接口。我们证明了能量最小化的平衡状态和$γ$ - 弥散性接口近似值的$γ$ - 连接到尖锐的接口极限。
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 $Γ$-convergence of diffuse-interface approximations to the sharp-interface limit.
