Thermo-Elastic Analysis of Functionally Graded Toroidal Shells

Thermo-elastic analysis of a functionally graded toroidal shell under the effect of thermo-mechanical loadings is carried out. Material properties of the toroidal shell are assumed to be isotropic and graded in the radial direction according to a power law function, while the Poisson's ratio is assumed to be constant. The toroidal shell is considered to be under the effect of general loading conditions including both axisymmetric and asymmetric cases. Semi-analytical solutions of displacement and stress fields are obtained using the Fourier and polynomial differential quadrature methods. Finite element calculations of displacement and stress fields are also carried out and results are compared. Effects of various material grading parameters and the temperature difference across the thickness of the toroidal shell on the distribution of stress and displacement fields are presented. It is found that components of the stress field in a functionally graded toroidal shell are less in magnitude than those corresponding to a homogeneous shell.