Analytical Solution for One-Dimensional Stresses in a Hollow FGM Sphere with Heat Source

Abstract

This paper presents the analytical solution of one-dimensional stresses for a hollow sphere made of functionally graded material. The material properties vary continuously across the thickness, according to power functions of radial direction. The thermal boundary conditions may include conduction, flux, and convection for inside or outside of hollow sphere. Thermoelasticity equation is steady state and include heat source. The aim of this work is considering the effect of heat source on thermal stresses. The heat conduction and Navier equations are solved analytically and a direct method of solution of Navier equation is presented.