Accurate nonlinear stability analysis of functionally graded multilayer hybrid composite cylindrical shells subjected to combined loads

Abstract

An accurate nonlinear buckling model for functional graded multilayer hybrid composites cylindrical shells under combined loads is proposed. A two-steps micromechanical approach including Halpin-Tsai and Mori-Tanaka method is employed to obtain the effective material properties of hybrid composites. A unified shell theory including Donnell's shell theory, first-order shear deformation theory and high-order shear deformation theory are adopted to derive the governing buckling equations. The axisymmetric pre-buckling deformation is taken into consideration in the solution procedure. Highly accurate critical buckling loads and analytical buckling mode shapes are obtained by Galerkin's method. The accuracy of the present solutions is validated by comparing with results of existing literature and numerical simulations. Effects of influencing parameters of reinforcements and their interactions on the structural stability of the hybrid composites cylindrical shells are revealed. Keywords: Functionally graded material, Hybrid composite, Cylindrical shell, Buckling, Critical buckling load