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Numerical Evalution of Eshelby’s Tensor of Anisotropic Ferromagnetic Shape Memory Alloy and Its Influence on Magnetic Field-induced Strain

Yuping Zhu1,2, Tao Shi1, Yuanbing Wang1
Institute of Mechanics & Engineering, Jiangsu University, Zhenjiang 212013, China.
Corresponding author: Tel: +86 511-88780197, E-mail: zhuyuping@126.com

Computer Modeling in Engineering & Sciences 2013, 95(6), 501-517. https://doi.org/10.3970/cmes.2013.095.501

Abstract

Single crystal ferromagnetic shape memory alloy is a kind of new intelligent materials, it shows obvious anisotropy. Micromechanics theory has been used to analyze the whole mechanical behaviors of this material. However, Eshelby’s tensor of this material which plays an important role has still not solved efficiently. Based on the existing micromechanics constitutive model, this paper analyzes the numerical calculation formula of Eshelby’s tensor of anisotropic ferromagnetic shape memory alloy. Adopting the way of Gauss integral, the optimal Gaussian integral points for different inclusion shapes and the corresponding numerical solution of Eshelby’s tensor are obtained.Furthermore, the influence of inclusion shapes on interaction energy and magnetic field-induced strains of Ni2MnGa single crystal is analyzed.It shows that the interaction energy of penny inclusion of ferromagnetic shape memory alloy is the maximum. The magnetic field-induced strain of spherical inclusion is the most close to experimental data. The above results can provide theoretical guidance for design and use of ferromagnetic shape memory alloy.

Keywords

Ferromagnetic shape memory alloy, Anisotropy, Eshelby tensor, Numerical calculation.

Cite This Article

Zhu, Y., Shi, T., Wang, Y. (2013). Numerical Evalution of Eshelby’s Tensor of Anisotropic Ferromagnetic Shape Memory Alloy and Its Influence on Magnetic Field-induced Strain. CMES-Computer Modeling in Engineering & Sciences, 95(6), 501–517.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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