Theoretical models of martensitic transformations

Abstract
By consideration of the accommodation strain energy in parent phase, a modified Landau-Ginzburg model is suggested. Transformation hysteresis and athermal transformation can be displayed by the modified model and the results of numerical study of the model agree well with experiments, including surface martensite formation, autocatalysis and burst transformation. One-dimensional soliton model interpreting the relation between driving force and motion velocity of martensite is established. The calculated growth velocities are consistent or comparable with those reported values for some exemplified Fe-based and Au-Cu-Zn alloys. Taking account of the interface energy in nanocrystals yields an equation describing the relationship between the grain size and nucleation barrier for martensitic transformation in nanocrystalline materials.