Buckling and post-buckling of graphene tubes

Abstract

Buckling and post-buckling of a long, thin, inextensible tube made of graphene material acted upon by a uniform normal pressure are considered. A system of differential equations governing the equilibrium states of such a tube is derived. Perturbation solutions are provided for the cases of pressure values close to the critical buckling pressures. A Matlab numerical solver based on Newton’s and shooting methods are developed. The buckling and post-buckling shapes of the deformed tube subject to various levels of pressure are presented.

Keywords:

• graphene
• buckling and post-buckling
• deformation of cylindrical tubes
• deformation of circular tubes
• differential system of equations

Funding

This research was partially supported by the Research Office at Texas A&M University at Qatar.