Numerical determination of Jiles-Atherton hysteresis parameters: Magnetic behavior under mechanical deformation

Abstract

Magnetic properties of ferromagnetic materials are sensitive to mechanical deformation, temperature stress and frequency of excitation. This paper deals with the characterization of the behavior of ferromagnetic materials under plastic deformation. Our work attempts to take into account the plastic deformation in the analytical Jiles-Atherton model through its parameters: their variations with the mechanical deformation are deduced from an identification using genetic algorithm approach for each state of deformation. Sensitive parameters to the solicitation are extended to plastic deformation. Finally, simulation results are compared to experimental data of a fully process non oriented Fe-3wt%Si steel sheet. The mean square error is less than 5% for each case which confirms the good agreement between simulated and measured hysteresis curves.