Stress–Strain and Fluid Flow

Abstract

AbstractIn this chapter first a multi-phase-field model considering transformation strain and elastic energy is developed. It utilizes the expansion into multiple phases of the multi-phase-field model. In particular, the treatment of the diffuse interface region as an effective medium is discussed in the context of homogenization theory. The model is applied to martensitic transformation within finite strain framework. In the second part of the lecture coupling for solute transport by melt flow is discussed. The model is applied to equiaxed dendritic solidification of MgAl in a shear flow.