A Dynamic Elasto/Viscoplastic Solution for a Thick-Walled Spherical Container Subjected to Impulsive Loading : Solid-Mechanics, Strength of Materials

Abstract

A general method for the solution of dynamic problems in an elasto/viscoplastic solid is presented. This method reduces the elasto/viscoplastic problem to a sequence of elastic problems with initial strains. The solution of the elastic problem with initial strains is determined by using four displacement functions. Using the foregoing method, a solution is derived for a dynamic elasto/viscoplastic problem in a thick-walled spherical shell subjected to an internal impact load. The numerical results show how the dynamic stresses in a sphere with viscoplastic properties vary with time.