Nonlinear magneto-mechanical finite element analysis of Ni-Mn-Ga single crystals

作者：Kiang Jademond; Tong Liyong^*

来源：Smart Materials and Structures, 2010, 19(1): 015017.

DOI：10.1088/0964-1726/19/1/015017

This paper presents a three-dimensional (3D) nonlinear quasi-static isothermal finite element formulation for single crystals of Ni-Mn-Ga ferromagnetic shape memory alloy (FSMA). This formulation is directly coupled (strong coupling) between the magnetic vector potential and mechanical displacement. As a result this formulation is applicable to general structural configurations, where the mechanical and magnetic behaviour of the entire structural and magnetic system can be computed simultaneously. This finite element formulation has the potential for applications that require accurate prediction of the magnetic field distribution and strain response of Ni-Mn-Ga single crystals. One of the major advantages of this finite element formulation is the ability to predict the behaviour of the material for generalized or complicated shapes and geometries where analytical methods may not be adequate.
The two-dimensional nonlinear finite element analysis computer software MAGSTRAN (magnetic structural analysis) is developed based on this formulation. Numerical results for selected examples are validated against experimental data available in the literature. It is demonstrated that there is reasonable correlation between MAGSTRAN results and experimental data available in the literature.

• 出版日期2010-1