12 Semi-Infinite Media
In this chapter solutions involving general types of loading on half-spaces are considered. Such solutions are developed using Fourier transforms. The media are taken to be elastically isotropic. Solutions for anisotropic elastic media are considered in subsequent chapters.
12.1 Fourier Transform of Biharmonic Equation
Consider a biharmonic function, , that satisfies the equation
Introduce the Fourier transform in y, viz.,
and its inverse
It is noted here that the transform of ...