Abstract
This paper is concerned with a 3-D general constitutive law of non-linear 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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