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Phase-field model for ferromagnetic shape-memory alloys

A computational model is developed to predict the ferroelastic and ferromagnetic domain structures in ferromagnetic shape-memory alloys by combining the phase-field approach, micromagnetics and the microelasticity theory of Khachaturyan [Theory of Structural Transformations in Solid (Wiley, New York, 1983)]. As an example, the NiMnGa ferromagnetic shape-memory alloy is considered. Both the magnetic domain structures and martensite microstructures are studied. The emphasis is on the overall strain response and associated evolution of both magnetic domain structure and martensite microstructure under an applied magnetic field with different initial conditions. The results are compared with existing experiment measurements and observations.