Magnetoelectric effects in multiferroic fibrous composite with imperfect interface

This paper investigates the magnetoelectroelastic responses of multiferroic fibrous composites with imperfectly bonded interface under longitudinal shear. The proposed imperfect interface model is a natural generalization of the shear lag (or the spring layer) model. By virtue of the complex variable method, we first consider the case where an isolated circular multiferroic fiber is imperfectly bonded to an infinite multiferroic matrix. Very concise expressions for the complex field potentials characterizing the magnetoelectroelastic fields inside and outside the circular fiber are obtained when the matrix is subjected to the remote uniform magnetoelectroelastic loading. The Mori-Tanaka mean-field method is then employed to derive the effective moduli of the multiferroic fibrous composite made of randomly distributed fibers reinforced to the matrix. Particularly we demonstrate that the interfacial imperfection in elasticity, electricity, and magnetism will always cause a significant reduction in the magnetoelectric coefficient of the BaTiO3-CoFe2O4 fibrous composite.