Abstract：In the current paper, a coupled nonlinear differential equation is proposed to model the hysteretic dynamics of one-dimensional magnetostrictive materials based on the modified Landau phenomenological theory of phase transition. A non-convex free energy function is constructed to model the irreversible magnetization orientation switchings and magneto-strain. Each of its minima is associated with one of the magnetization orientations in materials. Nonlinear constitutive laws accounting for magnetostriction effects are obtained by using thermodynamic equilibrium conditions. The hysteretic loops and butterfly-shaped behaviors in the magnetic and mechanical fields are both successfully modeled. Comparison of the model results with its experimental results reported in literatures is presented, capability of the model is approved.
2017, Vol. 38 
