Functionally graded polar orthotropic rotating disks: investigating thermo-elastic behavior under different boundary conditions

A comprehensive study has been conducted on the thermo-elastic behavior of a polar orthotropic rotating functionally graded disk, focusing on the effects of grading indices and thermal field on various stress and displacement parameters. The normalized radial stress, tangential stress, and normalized displacement of a hollow annular disk rotating at a constant angular speed were examined under different thermal conditions and grading indices. The study posed a significant challenge in determining the stress fields in a rotating disk, which required solving a specific second-order differential equation. After validation of the proposed methodology, the problem was solved for a rotating disk under a thermal field, and the results were obtained for both free-free and fixed-free boundary conditions. The objective of this research was to investigate how the material gradation and thermal loading impact the deformation and stresses of an annular disk, which was accomplished through the use of the point collocation method—a numerical technique used to compute the normalized stress, strain, and displacement components in the radial direction. This research provides insights into the behavior of annular disks under different conditions and has practical implications for designing and analyzing various engineering applications such as rotating machinery, aerospace components, and energy systems.