Affiliation: | aDepartment of Civil Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran bDepartment of Civil Engineering, Sharif University of Technology, P.O. Box 11155-9313 Tehran, Iran cDepartment of Civil, Environmental and Architectural Engineering, University of Colorado, Boulder, CO 80309-0428, USA |
Abstract: | With the aid of a complete representation using two displacement potentials, an efficient and accurate analytical derivation of the fundamental Green’s functions for a transversely isotropic elastic half-space subjected to an arbitrary, time-harmonic, finite, buried source is presented. The formulation includes a complete set of transformed stress-potential and displacement-potential relations that can be useful in a variety of elastodynamic as well as elastostatic problems. The present solutions are analytically in exact agreement with the existing solutions for a half-space with isotropic material properties. For the numerical evaluation of the inversion integrals, a quadrature scheme which gives the necessary account of the presence of singularities including branch points and pole on the path of integration is implemented. The reliability of the proposed numerical scheme is confirmed by comparisons with existing solutions. |