Abstract
In this paper, a new nonlinear magneto–mechanical coupling constitutive model, based on thermodynamic theory and the hysteresis effect, introduces the 6th order term of magnetization in the whole magnetic field and the global coupling factor related to the magneto–mechanical coupling into the magnetostrictive strain. Compared with the Zheng Xiao-Jing–Liu Xin-En model and Jiles–Atherton model, the nonlinear model precisely describes the hysteresis of the material and the magnetostrictive strain under the compressive stress and the nonlinear change of the magnetostrictive strain with stress and magnetization. The comparison of the prediction results of different models with the existing experimental data shows that the proposed model has a better prediction ability of the mid-field magnetostrictive strain, low-field magnetic flux density, and high-field magnetic flux density than other models. In addition, this paper also investigates that the effects of stress and plastic deformations on the hysteresis curve, coercivity, and remanence. The difference and mechanism of elasto–plastic deformations affecting the magnetization process of materials are obtained. Above all, the results in this paper are of great significance for the development of non-destructive testing inversion technology.
Published Version
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