A nonlinear magneto-thermo-elastic coupled hysteretic constitutive model for magnetostrictive alloys |
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Authors: | Ke Jin Yong KouXiaojing Zheng |
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Affiliation: | Key Laboratory of Mechanics on Environment and Disaster in Western China, The Ministry of Education of China, Department of Mechanics and Engineering Science, Lanzhou University, Lanzhou, Gansu 730000, PR China |
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Abstract: | This paper presents a general hysteretic constitutive law of nonlinear magneto-thermo-elastic coupling for magnetostrictive alloys. The model considered here is thermodynamically motivated and based on the Gibbs free energy function. A nonlinear part of the elastic strain arising from magnetic domain rotation induced by the pre-stress is taken into account. Furthermore, the movement of the domain walls is incorporated to describe hysteresis based on Jiles–Atherton's model. Then a set of closed and analytical expressions of the constitutive law for the magnetostrictive rods and films are obtained, and the parameters appearing in the model can be determined by those measurable experiments in mechanics and physics. Comparing this model with other existing models in this field, the quantitative results show that the relationships obtained here are more effective to describe the effects of the pre-stress or in-plane residual stress and ambient temperature on the magnetization or the magnetostriction hysteresis loops. |
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Keywords: | Magnetostrictive alloys Constitutive relations Magneto-thermo-elastic coupling Hysteresis |
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