Progress in phase field modeling of functional properties and fracture behavior of shape memory alloys

Shape memory alloys (SMAs) have been widely employed in many engineering fields due to their unique functional properties, such as super-elasticity, elastocaloric effect, and shape memory effect. Besides the experimental observation, the phase field approach is a mainstream and significant research tool and has played an increasingly prominent role in predicting the functional properties and fracture behavior of SMAs and revealing correspondent physical mechanisms. In this work, the phase field models of SMAs are first introduced, including the models of thermally induced SMAs addressing a) the fundamental framework for the martensite transformation and considering some influence factors; b) precipitation behavior; c) fracture behavior; and those of magnetically induced SMAs. Then, the state-of-the-art of phase field simulations on the thermally induced SMAs are systematically reviewed by concerning the martensite transformation, functional properties, and fracture behavior, and those on the magnetically induced SMAs are also reviewed by considering the magnetic-field-induced strain and mechanical-field- and magnetic-field-induced shape memory effect. Finally, the future research directions of the phase field modeling of SMAs are prospected.