Numerical Investigation on Thermal Post-buckling Of Annular Sector Plates Made of FGM Via 3D Finite Element Method

Abstract

This paper presents the thermal post-buckling analysis of functionally graded annular sector plates subjected to uniform temperature rise for the first time. The plate is consisting of a composed ceramic-metal material which the volume fraction of the component materials is assumed to change continuously through the thickness via a simple power law distribution.3D elasticity theory and non-linear Green strain tensor are used to derive the governing equations which are extended based on the principle of virtual work and solved via the graded finite element method. The non-linear equilibrium equations are solved by applying the Newton–Raphson procedure. The influences of material gradient exponent, various sector angles, thickness ratio, aspect ratio on the thermal post-buckling response of FGM annular sector plates subjected to uniform temperature rise are presented. Results indicate that the thermal post-buckling response of FGM annular sector plates can be considered as a bifurcation point following a stable post-buckling path.

Keywords

• thermal post-buckling analaysis
• 3d elasticity
• fgm annular sector plate
• finite element method