AN ELASTODYNAMIC SOLUTION FOR AN ANISOTROPIC HOLLOW SPHERE

An exact solution for the problem of radial vibrations and dynamic str esses in an anisotropic hollow sphere acted on by a dynamic interior a nd exterior pressure is obtained. Formulas for spherically symmetric a nisotropic problems are derived and results are carried out for some p ractical examples in which an anisotropic hollow sphere is subjected t o a sudden load and an exponential decaying shock pressure. The featur es of the solution are related to the propagation of the spherical wav e, and the radial vibrations of the anisotropic sphere are discussed.