Postbuckling equilibrium path of a long thin-walled cylindrical shell (single-walled carbon nanotubes) under axial compression using energy method

چکیده مقاله

In this paper, an elastic shell model is presented for postbuckling prediction of a long thin walled cylindrical shell under axial compression. The Ritz method is applied to solve the governing equilibrium equation of a cylindrical shell model based on the von-Karman type nonlinear differential equations. The postbuckling equilibrium path is obtained using the energy method for a long thin-walled cylindrical shell. Furthermore, the postbuckling relationship between the axial stress and end-shortening is investigated with different geometric parameters. Also, this theory is used for postbuckling analysis of a single-walled carbon nanotube without considering the small scale effects. Numerical results reveal that the single-walled carbon nanotube under axial compression has an unstable postbuckling behavior.