Effective Dynamical Parameters of Piezoelectric Medium with Randomly Distributed Piezoelectric Inclusions

Abstract

Propagation of SH-waves in an elastic composite containing stochastically distributed thin piezoelectric inclusions is investigated. We consider the case of noncontrast piezoelectric inclusion, that is, mechanical parameters of the composite constituents are insignificantly different in comparison with the small relative thickness of inhomogeneities. Effective dynamic properties of the medium with randomly distributed piezoelectric inclusions are obtained using Foldy dispersion relationship with the involvement of solution for the single inclusion scattering problem. The influence of mechanical and geometric parameters of composite constituents on the effective wave velocities is analyzed.