An analytical model for predicting effective magnetostriction of magnetostrictive composites

An extended double-inclusion model is developed to predict effective magnetostriction of the composites that consist of magnetostrictive particles and a nonmagnetostrictive matrix. The explicit formulas accounting for the inter-particle interaction and matrix-particle interaction under the external magnetic field are obtained for an elastically transverse isotropic magnetostrictive medium. It is shown that the magnetostriction of magnetostrictive composites depends not only on both the volume fraction of the particles and the material properties, but also on shapes and orientations of the ellipsoidal reinforced particles. To demonstrate the applicability of the model, the calculated results are compared both to the available experimental results and to the predictions calculated from other models.