Multiple scattering of antiplane shear waves in a piezoelectric fibrous composite medium with slip at interfaces

This study considers the multiple scattering of time harmonic axial shear waves in a piezoelectric fibrous composite with slip at interfaces. We assume same-size piezoelectric cylindrical inclusions. First, the problem of the scattering of plane axial shear waves by a large number N of piezoelectric fibers, arbitrarily distributed in an infinite polymer matrix, is considered. The resulting equations are then averaged, considering the positions of the piezoelectric fibers to be random. The averaged equations are solved by using Lax's quasicrystalline approximation. Numerical calculations for some piezoelectric fibrous composites are obtained and the effects of interfacial slippages and electroelastic interactions on the phase velocity and attenuation of coherent plane wave, and the effective piezoelectrically stiffened elastic constant are discussed in detail.