A Stress-dependent Magnetostriction Model of Amorphous Alloy Based on Microscopic Statistical Constructive Model and Jiles-Atherton Model

This study presents a stress-dependent magnetostriction model that incorporates hysteresis effects to simulate the magnetostriction properties of amorphous alloys in response to variations in magnetic fields and stress. The model is grounded in a microscopic statistical constructive framework. Given the absence of a crystalline structure in amorphous materials, a probability distribution function is developed to account for stress effects, which characterizes the randomly distributed magnetic moments within the amorphous matrix through the concept of locally ordered magnetic moment regions. The relationship between magnetostriction and magnetization is established by integrating the derived stress-dependent magnetostriction expression with a modified anhysteretic magnetization model. Hysteresis effects are addressed by incorporating an irreversible magnetization component, as informed by the inverse Jiles-Atherton theory. The parameters of the model are calibrated using experimental data. The simulation outcomes demonstrate that the proposed model successfully replicates the magnetostriction loop while accounting for stress influences.