Three Dimensional Steady State Thermal Stress Analyses in a Clamped Solid Sphere

Abstract

The present work deals with the three dimensional axisymmetric problem in a spherical coordinate system. A clamped solid sphere is subjected to heat flux on its plane boundary surface. Heat is generated within the sphere. The attempt made to analyze heat transfer and thermal stresses of solid sphere under steady temperature field. The Legendre's transforms are used for the solution of governing heat conduction equation. The solution of Navier's equation in terms of Goodier's thermoelastic displacement potential and the Boussinesq's harmonic function for spherical coordinate system have been used to determine displacement and thermal stresses within solid. The results for temperature change, displacement and stresses have been computed numerically and illustrated graphically.