Stress Waves in an Infinite Medium under the Diametrical Concentrated Impact Loads on the Spherical Cavity

Abstract

The purpose of present investigation is to analyze the stress waves propagating due to suddenly applied normal loads at the end points of diameter of a spherical cavity embedded in an infinite, linear, homogeneous, isotropic, elastic medium. The solution for Laplace transformed wave equation is give by meridional Legendre function and radial spherical Hankel function. The unknown functions included in such solutions are determined by the boundary conditions for loads represented in the form of a series of Legendre functions. Formal solution obtained by the evaluation of residue, gives a dynamic response to the arrival of stress waves.