Wave Propagation in Inhomogeneous Elastic Media with (N + l)-Dimensional Spherical Symmetry

Abstract

Uniform loading of an (N + 1)-dimensional spherically symmetric inhomogeneous elastic solid is investigated. The governing equations are represented in a matrix form and reduction to the conventional wave equation is sought. Such reduction may be achieved for multiparameter forms of a certain function involving the density and elastic parameters of the material. The reduction to the wave equation allows certain initial/boundary value problems to be readily solved.