Green's function for Lamb's problem and Rayleigh wave propagation in general transversely isotropic materials

Composite materials have gained considerable industrial importance, being widely applied e.g. in aerospace industries. The need for their proper testing in view of delaminations, inclusions an other defets has correspondingly stimulated the interest in describing wave propagation in such anisotropic media. In this study, Lamb's problem of determing the distrubance resulting from a point source in a half-space is investigated for the case of transversely isotropic symmetry. A 2d-space-time spectral representation of Green's dyad for the half-space has been derived exploiting the boundary condition of the stress-free surface. First numerical evaluations have been performed with respect to Rayleigh-surface wave propagation by dtermining the zeroes of the corresponding Rayleigh function, which is included in the analytical expressions