Green's function for two-and-a-half dimensional elastodynamic problems in a half-space

This paper presents an analytical solution, together with explicit expressi ons, for the steady state response of a homogeneous three-dimensional half- space subjected to a spatially sinusoidal, harmonic line load. These equati ons are of great importance in the formulation of three-dimensional elastod ynamic problems in a half-space by means of integral transform methods and/ or boundary elements. The final expressions are validated here by comparing the results with those obtained with the boundary element method (BEM) sol ution, for which the free surface of the ground is discretized with boundar y elements.