Transient-thermoelastic analysis of periodically rotated functionally graded hollow cylinder

A closed-form solution for transient thermal stress analysis of functionally graded hollow cylinder exposed to high-temperature difference is obtained under the influence of periodic rotation. All mechanical and thermal properties except the Poisson’s ratio are assumed to be graded in the radial direction as a power-law function. The transient heat conduction and equilibrium equations are solved on the Laplace domain by using Bessel functions and the Gauss quadrature integration procedure. The inverse transformation to the real space is achieved by using the modified Durbin method. The novelty of this study is to provide a general solution to the functionally graded cylinder under the effect of periodic rotation in a transient regime. The effects of periodic rotation and high-temperature difference on temperature and thermal stresses are investigated for a specific ceramic-metal mixture by using this solution. The solution presented in this study can be adopted simply by changing the coefficients of inhomogeneity in the power-law variation for any pair of materials.