Effective Coefficients for Two Phase Magneto-Electroelastic Fibrous Composite With Square Symmetry Cell in-Plane Mechanical Displacement and Out-of-Plane Electric and Magnetic Field Case

The purpose of the present work is to determine the magneto-electroelastic effective properties of reinforced piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in a square array through the Asymptotic Homogenization Method (AHM). The case when mechanical displacement is in-plane and electric and magnetic fields are out-of-plane is studied. Each periodic cell of the medium is a binary composite wherein both constituents are homogeneous magneto-electroelastic materials with transversely isotropic properties. Closed-form expressions for the overall properties are obtained. Numerical calculations are carried out for the BaTiO3/CoFe2O4 composite. A good match is obtained between AHM and other calculations reported in the literature. These results may be considered as congruent with the experimental experience.