Abstract
The purpose of this research is to represent Green's function for an elastic layered medium in terms of eigenfunctions for the discrete and continuous spectrums. The concept of the energy integral for the continuous spectrum is established to decompose the kernel of the branch line integral into eigenfunctions for the continuous spectrum. The formulation carried out in this paper is based on the physical interpretations, but is not based on the strict mathematical ones. Numerical calculations are performed so as to veryfy the formulation for decomposing Green's function into eigenfunctions for the discrete and continous spectrums. Numerical results show the efficiency of the formulation which is applicable to the engineering problems.
