Spherical cavity in the layer subjected to dynamic load

Abstract

The problem of wave motion with spherical symmetry is analysed. For this purpose, a spherical cavity surrounded by layer is considered as a mathematical model which can be used for modelling various phenomena in solid mechanics. The additional layer is also spherical and the outer space is described as unbounded medium. All layers are isotropic, homogeneous and linearly elastic, although the presented formulation allows inclusion of weak nonlinearities. Analytical solutions for displacement and stresses (radial and circumferential) are presented along with some discussion of possible model extensions.