A note on computing elastodynamic full field displacements arising from subsurface singular sources (Q1063446)

With a fundamental Green function for a half-space geometry, the BEM method can be used quite effectively to handle many dynamic geomechanics problems. This note is directed at developing such a Green function for a two-dimensional, isotropic half-space. The article addresses the buried impulsive single force as formulated by \textit{J. A. Hudson} [The excitation and propagation of elastic waves (1984; Zbl 0547.73023)]; however other loadings and sources such as Garvin's problem [\textit{W. W. Garvin}, Proc. R. Soc. London, Ser. A 234, 528-541 (1956; Zbl 0071.401)] could also be handled by the method presented. Starting with the formal solution, a numerical root finding scheme is employed to compute terms which normally present problems for general field points below the free surface.