A nonlinear magneto-mechanical coupling model for magnetization and magnetostriction of ferromagnetic materials

A new magneto-mechanical coupling model was proposed for ferromagnetic materials under applied stress and in magnetic fields. The proposed model is based on the thermodynamic theory of ferromagnetic materials and Jiles–Atherton–Sablic (J–A–S) theory with respect to the effective magnetic field. Compared with the existing models for ferromagnetic materials, the prediction results of this model are more consistent with the existing experimental results, and the prediction accuracy has been significantly improved. This model can more accurately predict the nonlinear changes in the magnetization and magnetostriction under the applied stress and magnetic field. In addition, the effects of applied stress and magnetic field on magnetization and magnetostriction of ferromagnetic materials are analyzed on the basis of magnetic domain theory. In conclusion, the proposed model can fully describe the effect of applied stress on magnetization, magnetic permeability, and magnetostrictive strain, and the effects of applied stress and magnetic field on total magnetostrictive strain (i.e., the ΔE effect); furthermore, it sufficiently reflect the nonlinear coupling properties of the magnetic field, magnetization, and magnetostriction for ferromagnetic materials under applied stress and in magnetic fields.