Magnetoelastic modelling of composites containing randomly dispersed ferromagnetic particles

Coupled magnetoelastic behaviour is investigated for two-phase composites containing randomly dispersed ferromagnetic particles under both magnetic and mechanical loading. The pair-wise particle interactions for magnetic field and elastic field are first defined by the solution for two particles embedded in the infinite domain, which is explicitly solved by the Green's function technique. By integrating the interactions from all other particles in the representative volume element, the homogenized magnetic and elastic fields are then obtained. Effective magnetostriction due to the magnetic interaction force is further derived. Without consideration of magnetic loading, this micromechanical model provides an effective elasticity with the pair-wise particle interactions. By dropping the interaction term, this model is reduced into Mori–Tanaka's model. Finally, magnetoelasticity is numerically solved by considering the magnetomechanical coupling effect. It is predicted that the effective Young's modulus and shear modulus decrease along with the increase of magnetic loading for random composites.