Some Results in Non-Linear Physics of Martensitic Transformation

Abstract
Statistical thermodynamics of martensitic transformation is developed in the frame of the self-consistent field approximation. The accommodation mechanisms of the parent phase to the martensitic variant growth are described by the three order parameters. The latters reflect the concentration and the orientation of the martensitic phase and the dislocation density at the interphase boundaries. Statistical model allowed to explain the superelasticity and shape memory effects and to propose the phenomenological description of deformation properties caused by martensitic transformation. Taking into account the typical nonlinearities for the order parameters given by statistical model the wave nature of the martensitic phase growth is analysed.