Investigation of Nonlinear Bending Analysis of Moderately Thick Functionally Graded Material Sector Plates Subjected to Thermomechanical Loads by the GDQ Method

Abstract

Large deflection analysis of functionally graded annular sector plates subjected to thermomechanical loads is presented. Based on the first-order shear deformation theory in conjunction with nonlinear von Kármán assumptions, the governing system of equations is derived. A polynomial-based generalized differential quadrature (GDQ) method is used to discretize the nonlinear governing equations. The Newton-Raphson algorithm is then employed to solve the system of nonlinear algebraic equations. Material properties of the plates are assumed to depend on temperature and are graded in the thickness direction based on a simple power-law distribution. Based on a comparison of results obtained for plates with temperature-dependent material properties versus plates with temperature-independent material properties, it is found that the effects of temperature dependency cannot be neglected. Furthermore, the effects of temperature rise, material index, thickness-to-radius ratio, and temperature dependency of material are studied in detail.