Elastic fields produced by a point source in solids of general anisotropy

Explicit expressions for three-dimensional elastostatic Green's functions in solids of general anisotropy are derived by means of an integral-representation technique and a subsequent application of the residue calculus. A direct calculation for the derivatives of the displacement Green's functions is quite complicated. However, relatively simple expressions can be obtained for the integration of the derivatives along a line or a surface. These integrals are in fact more useful, because, in most applications, not the derivatives, but their integrals along lines or surfaces are needed. Discussions regarding degenerate materials and details in evaluation of the residues at multiple poles are also given. The results presented in this paper are sufficient for the implementation of the boundary-element method for bodies of general anisotropic solids.