Morteza Eskandari-Ghadi - Assistant prof.,

A transversely isotropic material in the sense of Green is considered . Using a series of potential functions proposed in [3], the solution of the wave equations of a half-space under surface load is obtained in the Laplace –Hankel domain for axisymmetric case. The solution is investigated in detail in the special case of a surface point force varying with time as Heaviside function. Using Cagniard –De Hoop method, the inverse Laplace transforms of the waves at the surface of the half space are then obtained in the form of integrals with finite limits. For validity of the results, the final formulations are simplified for an isotropic material and compared with the existing formulation. The present approach is then verified by comparing the displacements at the surface with the solutions obtained by Pekeris [12].

Transversely isotropic material , Potential functions , Axissymetric surface wave