Numerical analysis of the magnetic shape memory effect based on the absolute nodal coordinate formulation

Abstract In this paper, the absolute nodal coordinate formulation (ANCF) is applied to simulate magnetic shape memory effect. Using makes it possible describe complicated or large deformation cases. The nonlinear bidirectional coupling terms between mechanical and field are taken into account in analysis of single-crystalline Ni-Mn-Ga sample. A two-loop iteration procedure with variable steps implemented predict magnetic-field-induced strain (MFIS) specimen under a changing external constant auxiliary compression. addition, proposed approach used track superelastic behavior alloy when subjected field. effectively describes hysteresis phenomenon solution compared here solutions obtained using classical linear quadratic quadrilateral elements. deviation observed discussed, its cause further clarified from two-domain pure magnetostatic permanent magnet. It found that accurate such problems associated discontinuity normal component potential gradient across domain interface. Special measures must be make element compatible discontinuity. mixed FEs strategy, which adopts ANCF FE displacement solver solver, as an alternative option rectify problem, verified by predicting MFIS dynamic response sample cyclic