A novel approach to the modelling of single-crystalline materials undergoing martensitic phase-transformations

We develop a micromechanical model which is suitable for any single-crystalline material which undergoes diffusionless solid-to-solid phase transitions. It is based on the specification of a microstructure accompanied by a perturbation of the local displacement-field which allows for a relaxation of the internal energy within a representative volume element. The main feature of our model is the distinction of internal variables into elastic and dissipative variables. They are treated by means of energy minimization and evolution laws, respectively. Applications are given in the context of material-point computations and two-dimensional finite-elements analysis.