Crystal Plasticity and Martensitic Transformations

A Phase Field Approach

Abstract

A phase field model for martensitic transformations considering crystal plasticity effects is introduced. The evolution of microstructure is studied for two dimensions in detail, taking into account the transformation induced eigenstrain of the different martensitic orientation variants, as well as the activity on various slip systems of the different phases. With aid of the model, comprehensible numerical examples are evaluated, to understand the correlations of the different processes on the microscale. The numerical implementation is performed with finite elements. For the transient terms related to the evolution of microstructure, an implicit time integration scheme is applied on a global level, while for the crystal plasticity setting an implicit time integration scheme on the element level is employed.