A dynamic thermoelasto/viscoplastic solution in a transversely isotropic hollow sphere subjected to instantaneous uniform heating.

In this paper, the theory is developed for the thermoelasto/viscoplastic response of a transversely isotropic thick-walled spherical shell suddenly subjected to a uniform temperature rise over its cross section. The dynamic response is studied by applying the theory of rays, which give rise to the exact solution of the transient response. Numerical results indicate the variations in the dynamic thermoelasto /viscoplastic stresses in a transversely isotropic spherical shell with time and show the effect of viscoplastic properties explicitly.