Transient thermoelasticity analysis of functionally graded thick hollow cylinder based on Green–Lindsay model

The transient thermoelastic response of a thick hollow cylinder made of functionally graded material under thermal loading is studied. The generalized theory of thermoelasticity based on Green–Lindsay model is used in this paper. The thermal and mechanical properties of the functionally graded material are assumed to be varied in the radial direction according to a power law variation as a function of the volume fractions of the constituents. The heat conduction equation and the equation of motion are solved by using Galerkin finite element method. All the finite element calculations were done by using commercial finite element program FlexPDE. The transient temperature, radial displacement, and thermal stresses distribution through the radial direction of the cylinder are plotted. The material composition effect on temperature, radial displacement and thermal stresses is shown.