Table of Contents
ISRN Mechanical Engineering
Volume 2011, Article ID 305402, 7 pages
Research Article

Radially Symmetric Steady State Thermal and Mechanical Stresses of a Poro FGM Hollow Sphere

1South Tehran Branch, Islamic Azad University, Iran
2Department of Mechanical Engineering, Omidiye Branch, Islamic Azad University, Omidiye, Iran
3Mechanical Department, Distinguished Thermoelastic Center, Amirkabir University of Technology, Tehran, Iran

Received 7 April 2011; Accepted 5 May 2011

Academic Editor: M. Al-Nimr

Copyright © 2011 M. Jabbari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of porous functionally graded material (FGPM) is presented. The temperature distribution is assumed to be a function of radius, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the sphere. The material properties, except Poisson's ratio, are assumed to vary along the radius r according to a power law function. The analytical solution of the heat conduction equation and the Navier equation lead to the temperature profile, radial displacement, radial stress, and hoop stress as a function of radial direction.