Abstract
Radial oscillations of a thick-walled spherical shell are investigated assuming the material of the shell to be elastic, isotropic, incompressible and continuously nonhomogeneous in the radial direction. The shell is first subjected to a static axially symmetric deformation and then set into infinitesimal motions. General equations are specialized to the neo-Hookean material and an explicit equation for the frequency of oscillations is derived. In the limit case of a homogeneous thin shell and of an infinite medium with a spherical cavity the results agree with the known results. Graphs are given displaying the frequency variations for various degrees of nonhomogeneity, wall-thickness and initial stretch.
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