Abstract
This paper is concerned with an analytical formulation and a numerical solution of the thermal stress and deformation for axisymmetrical shells of functionally graded material (FGM) subjected to thermal loading due to fluid. The temperature distribution through the thickness is assumed to be a curve of high order, and the temperature field in the shell is determined using the equations of heat conduction and heat transfer. The equations of equilibrium and the relationships between the strains and displacements are derived from the Sanders elastic shell theory. The fundamental equations derived are numerically solved using the finite difference method. As numerical examples, functionally graded cylindrical shells composed of SUS 304 and ZrO2 subjected to thermal loads due to fluid are analyzed. Numerical computations are carried out for various compositional distribution profiles in FGM. The results show that the present method gives correct temperature distributions and that the temperature distributions, stress distributions and deformations vary significantly depending on these compositional distribution profiles.
