Amirkabir University of Technology Amirkabir Journal of Mechanical Engineering 2008-6032 53 Issue 4 (Special Issue) 2021 06 22 Analytical modeling of elastic limit angular velocity in a rotating disk of a functionally graded material under mechanical-thermal loading conditions Analytical modeling of elastic limit angular velocity in a rotating disk of a functionally graded material under mechanical-thermal loading conditions 2589 2612 4123 10.22060/mej.2020.17969.6699 FA Sanaz Jafari Machanical engineering department, Faculty of Engineering, University of Bojnord, Bojnord, iran Journal Article 2020 02 20 Thermal stresses caused by temperature changes, along with high angular velocities in industrial rotating disks will reduce the strength of the disk material. Therefore, analysis of rotating disks under thermal-mechanical loads and estimation of the elastic limit angular velocity have particular importance as a criterion of the initiation of plastic deformation. In this paper, analytical modeling for thermoelastic analysis of functionally graded rotating disks is performed by considering the variations of all the geometric and mechanical properties of the rotating disk in a radial direction. The homotopy perturbation method is used as an analytical method to solve equations. The results are verified by the finite difference method and the data in the references. Numerical analysis is performed to investigate the influence of thickness parameter, thermal loading type and boundary conditions on the limit angular velocity and the radius of initiation of the plastic deformation. The Tamura-Tomota-Ozawa model is used to calculate yield stress at different radius of functionally graded disk. Finally, it is shown that by defining the appropriate temperature gradient on the outer surface as a boundary condition, the level of thermal stresses can be controlled and reduced up to 20% compared to the constant thermal boundary condition.<br />  Thermal stresses caused by temperature changes, along with high angular velocities in industrial rotating disks will reduce the strength of the disk material. Therefore, analysis of rotating disks under thermal-mechanical loads and estimation of the elastic limit angular velocity have particular importance as a criterion of the initiation of plastic deformation. In this paper, analytical modeling for thermoelastic analysis of functionally graded rotating disks is performed by considering the variations of all the geometric and mechanical properties of the rotating disk in a radial direction. The homotopy perturbation method is used as an analytical method to solve equations. The results are verified by the finite difference method and the data in the references. Numerical analysis is performed to investigate the influence of thickness parameter, thermal loading type and boundary conditions on the limit angular velocity and the radius of initiation of the plastic deformation. The Tamura-Tomota-Ozawa model is used to calculate yield stress at different radius of functionally graded disk. Finally, it is shown that by defining the appropriate temperature gradient on the outer surface as a boundary condition, the level of thermal stresses can be controlled and reduced up to 20% compared to the constant thermal boundary condition.<br />  https://mej.aut.ac.ir/article_4123_92fde850d824c2ba9b563cb6fa4078c3.pdf