On coupled FEM-BEM simulation of the magneto-mechanical behavior of single-crystalline Ni-Mn-Ga alloys

作者：Wang, Jiong^*; Huang, Qingyang

来源：Engineering Analysis with Boundary Elements, 2020, 121: 143-157.

DOI：10.1016/j.enganabound.2020.09.013

• Magnetic shape memory alloys
• Magneto-mechanical response
• Variant reorientation
• Boundary element method
• Numerical simulation

In this paper, a coupled FEM-BEM method is applied to simulate the magneto-mechanical behavior of a single-crystalline Ni-Mn-Ga sample. First, based on some kinematic and constitutive assumptions, the governing system for modeling the response of the Ni-Mn-Ga sample is formulated, which is composed of the magnetic and mechanical field equations, the evolution laws of the internal variables and the twin interface movement criteria. To solve the governing system, an iterative numerical algorithm is proposed. Especially, a coupled FEM-BEM method is adopted in the algorithm to tackle the magnetic field equation. By using this method, one doesn't need to consider the distribution of the demagnetization field in the surrounding space, thus the number of elements can be reduced significantly. To show the efficiency of the numerical algorithm, some typical examples are studied. It can be found that the numerical results obtained from the coupled FEM-BEM method and the conventional FEM method are in good agreement with each other. The numerical algorithm proposed in the current work would be helpful for the design of novel smart devices made of Ni-Mn-Ga alloys.