Transient surface response of layered isotropic and anisotropic half-spaces with interface cracks: SH case

The transient response of the surface of a layered isotropic or anisotropic half-space, with two interface cracks, excited by a plane SH-wave is investigated. The incident field is taken as a bulk wave. The governing equations along with boundary, regularity and continuity conditions across the interface are reduced to a coupled set of singular integral equations. Solutions of these equations are obtained by expanding unknown crack opening displacement (COD) in terms of a complete set of Chebyshev polynomials. As sample problems, the surface response of isotropic as well as anisotropic layered half-spaces with and without crack interactions is computed