Displacements and stresses at any point of a uniform half-space due to two-dimensional buried sources

Abstract

Closed-form analytical expressions for the displacements and stresses at an arbitrary point of a homogeneous, isotropic perfectly elastic half-space caused by various two-dimensional buried sources are obtained. The method consists of first finding the integral expressions for the half-space from the corresponding expressions for an unbounded medium given by Singh and Garg via the traction-free boundary conditions at the surface, and then evaluating the integrals analytically. Since the results are given for arbitrary Poisson's ratio, the correspondence principle can be used to obtain the quasi-static displacements and stresses when the half-space is viscoelastic.