Micromechanics of Magnetoelectroelastic Composite Materials: Average Fields and Effective Behavior

A micromechanics approach is developed to analyze the average fields and effective moduli of heterogeneous media that exhibit full coupling between stationary elastic, electric, and magnetic fields. Exact relations regarding the internal field distribution inside a heterogeneous magnetoelectroelastic solid are first established, followed by exact connections between the effective magnetoelectroelastic and thermal moduli of two-phase composites. The Mori-Tanaka mean field approach is then applied to obtain closed form expressions for the effective moduli of fibrous and laminated composites. Finally, numerical results for BaTiO 3 -CoFe 2 O 4 composites are presented and discussed.