Scattering of Love Waves by a Surface-Breaking Crack in Piezoelectric Layered Media

Abstract

Based on the dynamic theory of linear piezoelectricity, we investigate the scattering of Love waves by a surface-breaking crack in a layered piezoelectric solid. The piezoelectric layer is perfectly bonded to a half-space of a different elastic solid and the crack is normal to the free surface. Both cases of a partially broken layer and a completely broken layer are studied. By the use of Fourier transform techniques, the mixed boundary value problem is reduced to a singular integral equation. The singular integral equation is solved numerically to determine the dynamic stress intensity factor and the dynamic energy release rate as a function of a dimensionless frequency for various ratios of crack depth to layer thickness, and the results are presented in graphical form.