Magneto-mechanical model of ferromagnetic material under a constant weak magnetic field via analytical anhysteresis solution
Pengpeng Shi
Abstract
The magnetic memory non-destructive testing method can evaluate the early damage such as stress concentration based on the magneto-mechanical effect. Some magneto-mechanical models have been proposed and applied to the mechanism explanation and theoretical analysis of this non-destructive testing method. The present work constitutes a continuing study in questing for a new magneto-mechanical model that is very concise, accurate, and easy to calculate. By introducing a new magnetostrictive expression with a concise and clear physical meaning, a new magneto-mechanical model is proposed under a constant weak magnetic field based on the thermodynamic framework and approach law. Particularly, compared with existing models, an analytical expression of anhysteresis magnetization is obtained for the first time under a constant weak magnetic field, which greatly facilitates the understanding and application of the magneto-mechanical effect. In comparison with the classic Jiles's model, the prediction accuracy is improved greatly based on the present model, particularly for the compression case. A detailed study has also been performed to reveal the effect of cyclic loading on the magneto-mechanical behavior. The present theoretical model established in this paper is hopeful to improve quantitative understanding of magneto-mechanical effects for the magnetic memory method.