The Anisotropy of $\Delta E$ Effect of Fe–Ga Single Crystal

Abstract

An extended model based on the Jiles–Thoekle and Armstrong model is used to model the anisotropy of $\Delta E$ effect of the Fe–Ga single crystal. Some specific crystallographic directions which are [100], [110], [111], and [112] directions are selected to study the magnetomechanical behavior under magnetic field and stress loading. The strain–stress curves and Young’s modulus-stress curves are simulated. Two more cases of direction selection [ $\theta \in (0,\pi)$ , $\varphi = \pi $ /4, and $\theta = \pi $ /2, $\varphi \in (0,2\pi)$ ] are used to study the relationship between $\Delta E$ effect and crystallographic direction, which shows that the directions showing minimum saturated magnetostriction and maximum pure elastic modulus along the two routes have an abnormal change trend of the $\Delta E$ effect. The results show that the $\Delta E$ effect of the Fe–Ga single crystal has a high degree of anisotropy. Both the atomic packing density and the domain motion have great effect on the final magnetomechanical coupling behavior.