Micromechanical modeling of stress-induced strain in polycrystalline Ni–Mn–Ga by directional solidification

•A micromechanical model of directional solidification Ni–Mn–Ga is developed.•The stress–strain curves in different directions are tested.•The martensite Young’s moduli in different directions are predicted.•The macro reorientation strains in different directions are investigated.

Polycrystalline ferromagnetic shape memory alloy Ni–Mn–Ga produced by directional solidification possess unique properties. Its compressive stress–strain behaviors in loading–unloading cycle show nonlinear and anisotropic. Based on the self-consistent theory and thermodynamics principle, a micromechanical constitutive model of polycrystalline Ni–Mn–Ga by directional solidification is developed considering the generating mechanism of the macroscopic strain and anisotropy. Then, the stress induced strains at different angles to solidification direction are calculated, and the results agree well with the experimental data. The predictive curves of martensite Young’s modulus and macro reorientation strain in different directions are investigated. It may provide theoretical guidance for the design and use of ferromagnetic shape memory alloy.