Scattering of Antiplane Shear Waves from a Partially Debonded Piezoelectric Fiber

Abstract

Following the dynamic theory of linear piezoelectricity, we consider the scattering of horizontally polarized shear waves from a single piezoelectric fiber partially bonded to an elastic matrix. The debonding is assumed to be a curved interface crack with non-contacting faces. The crack opening displacement is represented by Chebyshev polynomials, and a system of equations is derived for the unknown coefficients. Numerical calculations for PZT5-epoxy and BaTiO₃-epoxy composites are carried out, and the effects of frequency, crack angle and piezoelectric material constants on the scattering cross section, dynamic stress intensity factor and dynamic energy release rate are shown graphically.