Numerical evaluation of harmonic Green's functions for general anisotropic half-space with embedded sources

The displacements and stresses due to a harmonic embedded source in a triclinic half-space are derived in terms of Fourier integrals. Both two-dimensional and three-dimensional models are considered. In the former case, the results are expressed in the form of single improper integrals while in the latter case in the form of double improper integrals.; Based on these results an algorithm for numerical evaluation of the Green's functions is proposed for both models. The algorithm efficiently evaluates complete displacement and stress fields without any restriction upon the parameters present in the problem. Extensive testing of the code has been done in order to verify the accuracy of the numerical results. These results demonstrate that the proposed method can be used to efficiently evaluate the Green's functions for a triclinic half-space.