A Dynamic Thermoelasto/Viscoplastic Solution in a Hollow Sphere Subjected to Thermal Impact

Abstract

This paper is concerned with a method for calculating the dynamic thermal stress distribution in a medium which undergoes thermoelastic and viscoplastic deformation due to sudden heating. It is a method for reducing the thermoelasto/viscoplastic problem to a sequence of thermoelastic problems with initial strains. The solution of this problem is determined by means of four displacement functions. Using the foregoeng method, the solution is derived for the dynamic thermoelasto/viscoplastic behavior of a thick-walled spherical shell suddenly subjected to a uniform temperature rise over its cross section. The numerical results show how the dynamic thermal stresses in spherical shell with viscoplastic properties change with time.