The numerical solutions of green's functions for transversely isotropic elastic strata

In this paper, a model of transversely Isotropie elastic strata is used to simulate the soil layers situated on a half space . Instead of the half space , an artificial transmitting boundary is used to absorb the vibration energy. The displacement formulas at any soil layer interface under vertical or horizontal harmonic ring loads are obtained by using the thin layer element method. From these formulas, the explicit solutions of Green' s functions-the displacement responses at any interface of these strata under vertical and horizon harmonic point loads-are derived. Tlie examples show that the method presented in this paper is close to the theoretical method and the transversely Isotropie property has evident influence on the Green ' s functions .