An Analytical Model for the Effect of Multiaxial Stress on the Magnetic Susceptibility of Ferromagnetic Materials

The magnetic permeability of magnetic materials highly depends on mechanical stress. Stress state is usually multiaxial and has a significant effect on the performance of electromagnetic devices. In this paper a three-parameter analytical model for the stress dependent permeability of magnetic materials is proposed, based on a simplified energetic description of magneto-elastic behaviour. The proposed approach also provides a new equivalent stress for magnetic behaviour in the low-field and low-stress regime.