A dynamic elasto/viscoplastic solution in a transversely isotropic hollow sphere subjected to impulsive load.

Abstract

In this paper, the theory is developed for the elasto/viscoplastic response of a transversely isotropic thick-walled spherical shell subjected to radially symmetric impact loadings. The dynamic response is studied by applying the theory of rays, which gives rise to the exact solution of the transient response. Numerical results are shown for internally applies pressure with a step function. The results show that the elasto/viscoplastic wave speed in a transversely isotropic sphere is not faster than the elastic wave speed.