Objective modeling of some elastoplastic materials with phase changes

Abstract
To deal with thermal treatment (quenching e.g.) of steels with phase changes in the frame of thermoplasticity we suggest a rather general approach based on the isomorphy of the generalized elastic ranges, which we call thermo-phase-elastic ranges. Mass fractions are used as internal variables to describe the evolution of phases. We do not use the concept of the decomposition of strains, although it can be incorporated in our framework. Restrictions due to the second law of thermodynamics are discussed. The investigations presented here are part of a special research project on distortion engineering (SFB 570 at the University of Bremen).