Application of higher-order finite element for elastic stability analysis of laminated cross-ply oval cylindrical shells

Abstract

Here, linear elastic stability behavior of laminated cross-ply oval cylindrical shells under axial compression is studied through finite element approach. The formulation is based on higher-order theory that accounts for the transverse shear and transverse normal deformations, and incorporates realistic through the thickness approximations of the in-plane displacements. The strain–displacement relations are accurately introduced in the formulation. The contributions of work done by applied loads due to the higher-order function arising from the assumed displacement models are also included. The governing equations are obtained using the principle of minimum potential energy. The combined influence of higher-order shear deformation, shell geometry and ovality, and lay-up on the buckling loads of cylindrical shells is examined.