Deformation of Elastically Inhomogeneous Solid Modelled with Diffuse Interface Approach

Diffuse interfaces are useful tools for simulating evolution of material phases, and they are fundamentally important part of the phase field method. Since, in solid state, different phases can have different elastic constants, it is important to be able to incorporate them into the numerical simulations. In current study, the theory of deformation of elastically inhomogeneous solid with diffuse interface approach and application of relatively simple numerical method for solving the problem are described. Deformation of a solid containing an elastical inhomogeneity is simulated for two cases for compression in two-dimensional plane strain condition: a harder inclusion and a softer inclusion.