ABSTRACT
The scope of work presented is the derivation of the three-dimensional Green’s function for the layered half-space. In that case the half-space is loaded with a vertical point load and the method of potentials is used for the solution. Partial differential equations occurring in this problem are made ordinary ones through the Hankel integral transform. The integral that represents the inverse Hankel transform of solution contains a singularity of first order. It is made regular by extracting the singularity from the integral of inverse transform. The appearance of Stonely waves are also discussed. Finally, the contour integrals are evaluated by substitution of Bessel function occurring in the integrand with the more suitable one and by closing the integration contour on the upper half-plane by the infinite half-circle. The two different integration contours have been used.
