The incorporation of the Cauchy stress matrix tensor in micromagnetic simulations

Abstract

A method of simulating complex deformational changes of magnetoelastic systems has been developed. This involves incorporation of the complete Cauchy stress matrix tensor into a finite element micromagnetic code. Finite element modeling was used to precompute the stress on each mesh-element in the studied model. This stress-map is then imported into a finite element micromagnetic code to solve the resultant changes in magnetization. The veracity of this method is demonstrated by comparing simulations of the Villari effect and a hybrid piezoelectric-piezomagnetic system to experimental observations.