Simple Closed-Form Solution for the Buckling of Moderately Thick Anisotropic Cylinders

Abstract

The major aim of this paper is a simple approximate closed-form solution, which can be easily calculated using spreadsheet software, for the buckling of thin and moderately thick anisotropic cylinders under axial loads that includes the effect of layup anisotropy, transverse shear deformation and cylinder length. The Jaumann-strain-based solution satisfying both the equilibrium equations and the boundary conditions is derived and the differences between it and the Green-Lagrange-strain-based solution are shown to be very small. Then, the Jaumann-strain-based solution is simplified by neglecting the boundary conditions, and the simplified solution is shown to be sufficiently accurate.