An Investigation into the Thermoelastic Analysis of Circular and Annular Functionally Graded Material Plates

The axisymmetric bending and stretching of circular and annular functionally graded plates with variable thicknesses under combined thermal-mechanical loading and various boundary conditions are investigated. The mechanical and thermal properties of functionally graded material (FGM) are assumed to vary continuously throughout the thickness of a plate in accordance with a simple power law of volume fraction of constituent material. Based on the first-order shear deformation theory, the governing equilibrium equations are derived, and the dynamic relaxation (DR) method is employed to solve these equations. Additionally, the effects of the thickness variation, temperature gradient, material constant n, and boundary conditions are discussed.