Phase field approach to interaction of phase transformation and dislocation evolution

Phase field approach to coupled evolution of martensitic phase transformations (PTs) and dislocation is developed. A fully geometrically nonlinear formulation is utilized. The finite element method procedure is developed and applied to study the hysteretic behavior and propagation of an austenite (A)-martensite (M) interface with incoherency dislocations, the growth and arrest of martensitic plate for temperature-induced PT, and the evolution of phase and dislocation structures for stress-induced PT. A similar approach can be developed for the interaction of dislocations with twins and diffusive PTs described by Cahn-Hilliard theory. (C) 2013 AIP Publishing LLC.