Vector model for the study of hysteresis under stress

A vector model of magnetic hysteresis in biaxial anisotropy structures is presented, in which magnetoelastic effects are explicitly taken into account. The magnetization vector of individual grains is forced to lie along one of the easy axis, and jumps from one easy direction to another one controlled by the sum of the external field and magnetoelastic energy. Hysteresis effects are described by an energy barrier opposing magnetization switching and the total response of the system is obtained by averaging the local magnetization over all grains. Model predictions are compared with experimental results on the hysteresis properties of Si–Fe alloys under compressive stress.