Modelling and characteristic analysis for elastic modulus of giant magnetostrictive material under stress and magnetic field

Giant magnetostrictive material (GMM) exhibits an apparent change in elastic modulus at different magnetisation and stress states. Therefore, to describe output performance of GMM accurately, it needs to determine the change law of elastic modulus for GMM. In this paper, from the viewpoint of the internal energy of GMM and combining with the experimental characteristics of GMM rod, an elastic modulus model for GMM rod under the combined action of external stress and magnetic field is derived. In this model, Langevin function is used to describe the magnetisation curve of magnetic field. Change law of elastic modulus with stress and magnetic field is revealed through a simulation analysis. Experimental results exhibit that the predicted elastic modulus is in good agreement with the experimental data. The average relative error between experimental data and calculated result is about 2.05%.