A micro-statistical constructive model for magnetization and magnetostriction under applied stress and magnetic fields

Abstract

Magnetization and magnetostriction are of critical importance to understand the magnetic behavior of ferromagnetic materials under stress and magnetic fields. The micromechanism of magnetization (or magnetostriction) is determined by the probability of angular distribution of magnetic moments and saturation magnetization (or saturation deformation). Thus, the probability of angular distribution of magnetic moments is important to construct the relationship between the magnetization (or magnetostriction) and magnetic moments. In this letter, a new microstatistical model is developed to explain the magnetization and magnetostriction mechanisms for isotropic materials. The probability of angular distribution between magnetic moment and magnetic field is expressed by a modified Boltzmann distribution. The results calculated by the present model are compared with the experimental results. The values of the determination coefficient R2 indicate that the present model can accurately describe the relationship between magnetization and magnetostriction under both stress and magnetic fields.