Two-Dimensional Stresses in a Hollow FG Sphere with Heat Source
This work studied the theoretical solution for axisymmetric steady-state mechanical and thermal stresses in hollow functionally graded spheres with respect to heat source. The material properties of the FG sphere change continuously across the thickness direction according to the power functions of radial direction. The steady-state temperature, displacements, and stresses are derived due to the general mechanical and thermal boundary conditions as function of radial and circumferential directions. The temperature and Navier equations are solved analytically, using Taylor and Legendre series. With increasing the power law indices the temperature distribution due to heat source is decreased. Circumferential stress and radial displacement due to heat source are decreased as the power law index increases.
M.S.J. Hashmi, S. Mridha and S. Naher
A. H. Mohazzab and M. Jabbari, "Two-Dimensional Stresses in a Hollow FG Sphere with Heat Source", Advanced Materials Research, Vols. 264-265, pp. 700-705, 2011