Half-Space and Layered Media

Abstract

The solution to the stresses and displacements in a half-space or a layered solid with transverse isotropy is fundamental to the development of the theory of elasticity and is of primary importance to many engineering applications such as the design of high strength foundations and underground structures. In this chapter, we will first present a unified solution for a point force applied on the surface of a half-space. Then we will discuss the solution for a transversely isotropic half-space subjected to a point force at the interior. The solution also will be extended to the problem of layered media using the state-space and Fourier transform methods.