A one-dimension nonlinear hysteretic constitutive model with elasto-thermo-magnetic coupling for giant magnetostrictive materials

Based on the thermodynamic theory, by introducing the Weiss molecular field and considering current eddy loss, a 1D nonlinear elasto-thermo-magnetic multi-field coupling hysteresis constitutive model is proposed for giant magnetostrictive materials. This new model can fully describe the effects of the stress, frequency and ambient temperature not only on the curves of magnetostriction and magnetization under the static frequency, but also on the hysteresis characteristics of magnetostriction and magnetization at the dynamic frequency. This model, which has more concise mathematical form compared with other related models, shows a good agreement with experimental results on the magnetostrictive strain and magnetization hysteresis loops. Furthermore, the predicted results have indicated the necessary of considering the Weiss molecular field. This model is of convenient for both theoretical researches and engineering applications of magnetostrictive materials due to being without piecewise function and implicit functions in magnetostrictive constitutive relations.