Nonlinear Thermomechanical Behavior of Functionally Graded Material Cylindrical/Hyperbolic/Elliptical Shell Panel With Temperature Dependent and Temperature Independent Properties

Abstract

In this article, the nonlinear bending behavior of functionally graded (FG) curved (cylindrical, hyperbolic, and elliptical) panel is investigated under combined thermomechanical loading. In this study, two temperature fields (uniform and linear) across the thickness of shell panel are considered. The panel model is developed mathematically using higherorder shear deformation midplane kinematics with Green–Lagrangetype nonlinear strains. The individual constituents of functionally graded material (FGM) are assumed to be temperaturedependent (TD) and graded continuously using the powerlaw distribution. The effective material properties of FG shell panel are evaluated based on Voigt's micromechanical model. The governing equation of the panel structure is obtained using the variational principle and discretized through suitable finiteelement (FE) steps. A direct iterative method is employed to compute the desired responses of the curved panel structure. The efficacy of the present nonlinear model has been shown by comparing the responses with those available published literature and commercial FE tool ansys. Finally, the model has been extended to examine the effect of various parameters (volume fractions, temperature, thickness ratios, curvature ratios, aspect ratios, and support conditions) on the nonlinear bending behavior of curved FG panel by solving wide variety of numerical illustrations.