Dynamical behavior of a layered piezocomposite using the asymptotic homogenization method

In the present paper, a dynamic model of the piezoceramic polymer composite with 2-2 connectivity is presented. Expressions for the effective coefficients (elastic, piezoelectric and dielectric) using the asymptotic homogenization method (AHM) are found. The formulation of the dynamical problem is given in term of overall properties of the composite for the first approximation of AHM. The dispersion relations are computed and their curves are shown. An analysis of the dispersion curves is presented for different volume fractions. The behavior of the mechanical displacement and the electric potential is illustrated.