Open Access

ARTICLE

A 3D Constitutive Model for Magnetostrictive Materials

Ke Jin¹, Yong Kou¹, Xiaojing Zheng^1,2

1 Key Laboratory of Mechanics on Environment and Disaster in Western China, The Ministry of Education of China, and Department of Mechanics and Engineering Sciences, School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, Gansu 730000, P.R. China
2 Author to whom correspondence should be addressed; electronic mail: xjzheng@lzu.edu.cn

Computers, Materials & Continua 2011, 24(2), 143-162. https://doi.org/10.3970/cmc.2011.024.143

Abstract

This paper is concerned with a 3-D general constitutive law of nonlinear magneto-thermo-elastic coupling for magnetostrictive materials. The model considered here is thermodynamically motivated and based on the Gibbs free energy function. A set of closed and analytical expressions of the constitutive relationships for the magnetostrictive materials are obtained, in which all parameters can be determined by those measurable experiments in mechanics and physics. Then the model can be simplified to two cases, i.e. magnetostrictive rods and films. It is found that the predictions from this model are in good accordance with the experimental data including both rods and films. In particular, the effects of pre-stress or in-plane residual stress and environment temperature on the magnetization or the magnetostriction are also discussed.

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Keywords

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