ABSTRACT

This chapter explains the mathematical framework developed by Bowles, MacKenzie, Wechsler, Lieberman and provides a framework that represents one of the most elegant and complete theories that helped explain an accumulation of findings that could not be reconciled. All martensitic transformations involve coordinated movements of atoms and are diffusionless. Since the shape of the pattern in which the atoms in the parent crystal are arranged nevertheless changes to generate the product phase, it follows that there must be a visible change in the macroscopic shape of the parent crystal during transformation. The semi-coherent interface should consist of coherent regions separated periodically by discontinuities which prevent the misfit in the interface plane from accumulating over large distances, in order to minimize the elastic strains associated with the interface. The shape deformation can be obtained by factorising the transformation strain (FSF).