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Closed-form analytic expressions for the displacements and stresses at any point of a two-phase medium consisting of a homogeneous, isotropic, perfectly elastic half-space in welded contact with a homogeneous, orthotropic, perfectly elastic half-space caused by two-dimensional seismic sources located in the isotropic half-space are obtained. The method consists of first finding the integral expressions for two half-spaces in welded contact from the corresponding expressions for an unbounded medium by applying suitable boundary conditions at the interface and then evaluating the integrals analytically. Numerical computations indicate that the deformation field due to a source in an isotropic half-space in welded contact with an anisotropic half-space may differ substantially from the deformation field when both the half-spaces are isotropic.

Static Deformation due to Two-Dimensional Seismic Sources Embedded in an Isotropic Half-Space in Welded Contact with an Orthotropic Half-Space.