Three dimensional Thermo-mechanical bending analysis of multi-directional functionally graded annular sector plates via GDQ method

Subject Areas : Computational Mechanics

Mahdi Adineh ¹ , Seyed Amir Hoseini Sabzevari ²

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Received: 2025-02-03 Accepted : 2025-10-30 Published : 2025-07-25

Keywords: Annular sector plates, Multi-directional functionally graded plates, Three-dimensional thermo-elasticity, Elastic foundation,

Abstract :

Banding analysis of functionally graded annular sector plates utilizing three-dimensional elasticity theory is the focus of this study. The equilibrium equations are derived based on three-dimensional elasticity theory and discretized using Generalized Differential Quadrature (GDQ) method. In this analysis, all material properties, except for the Poisson ratio, are assumed to vary along all three axes of cylindrical coordinates. Furthermore, all of them, except for the thermal conductivity coefficient, can be defined as temperature-dependent. To validate the method used, several examples were conducted in accordance with published results in the literature. Additionally, in some cases, due to a lack of data for the geometry under study, the results were compared with those obtained from the analysis of rectangular plates by increasing the ratio of the smaller radius to the larger one, which showed good agreement. The study investigates deflections and stresses at specified points on the plate under various boundary conditions, types of material gradation, and parameters related to the elastic foundation. The findings indicated that changes in the material composition of the plate along different directions of cylindrical coordinates can significantly affect the deformation and stress levels experienced by the plate.

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