Centered Hysteresis Loops Model of SM490A Considering Stress Dependence

Abstract

Magnetic properties of a ferromagnetic material change with the applied stress, which is one of the magnetome-chanical effects. The classical Jiles-Atherton model (CJA model) is a typical magnetic hysteresis model at free stress, which describes the hysteresis using the concept of the impedances to domain wall motion caused by pinning effects. However, when a direction of applied magnetic field is reversed before reaching saturation, the minor hysteresis loops obtained from the CJA model can have negative slopes, which is a non-physical behavior. To improve accuracy of the match between CJA model and the experimental results, many kinds of modified hysteresis model based on CJA model have been suggested. Nevertheless, there are few studies suggesting the modified Jiles-Atherton model which can express the stress dependence of hysteresis loops and improve accuracy with experimental results. This paper suggests a Hybrid modified Jiles-Atherton model (HJA model) for centered hysteresis loops of SM490A including both major and minor loops taking into account of tensile stress dependence. In this model, the differential susceptibility shifts with reference to the last reverse magnetic field, and only one constant parameter of CJA model is replaced by a logistic function of magnetization. Additionally, we introduce stress dependence into each parameter of HJA model. As a result, it is shown that the centered hysteresis loops of SM490A under tensile stress can be expressed by the HJA model with good accuracy in both minor and major loops.