Abstract The presented study presents a comprehensive thermomechanical analysis of functionally graded rotating disks with variable thickness using the optimal homotopy asymptotic method (OHAM). The approach is first validated by analyzing a homogeneous disk with constant thickness, showing excellent agreement with known reference solutions. It is then extended to functionally graded materials and non-uniform thickness profiles, including concave and convex geometries. The analysis accounts for radial variations in both material properties and geometry, as well as thermal gradients, resulting in complex nonlinear governing equations. A key challenge addressed in this work is the simultaneous consideration of thermal and mechanical effects, which significantly complicates the analytical solution of rotating disks under combined loading. OHAM effectively addresses these challenges without requiring numerical discretization, providing continuous, differentiable, and rapidly convergent solutions across the entire domain. The computed stress distributions are presented graphically, demonstrating strong consistency with exact solutions. The proposed technique achieves these results with significantly reduced computational complexity. This work marks the first application of OHAM to the coupled thermomechanical analysis of functionally graded rotating disks. The method’s ability to deliver highly accurate and physically meaningful solutions with minimal computational effort highlights its strong potential as a robust analytical tool for the design, optimization, and reliability assessment of advanced rotating components.
Servet Mert Kutsal (Mon,) studied this question.