Modeling of Magnetoelectric Effects in Ferromagnetic/Piezoelectric Bulk   Composites
  We discuss a model that considers the bulk composite as a homogeneous medium with piezoelectric and magnetostrictive subsystems. We solve combined elastostatic, electrostatic and magnetostatic equations to obtain effective composite parameters (piezoelectric modules, magnetostriction factors, compliances, magnetoelectric coefficients) for 3-0 and 0-3 connectivities. Expressions for longitudinal and transverse low-frequency magnetoelectric voltage coefficients have been obtained for unclamped and clamped samples. Volume fractions for peak low-frequency effective magnetoelectric voltage coefficient are found to be dependent on specific connectivity. Clamping leads to significant variation in magnetoelectric voltage coefficients. The calculated magnetoelectric coefficients are compared with data. 
V.M. Petrov, M.I. Bichurin V. M. Laletin, N.N.Paddubnaya and G.   Srinivasan