On the buckling response of axially pressurized nanotubes based on a novel nonlocal beam theory

In the current study, buckling analysis of single-walled carbon nanotubes (SWCNT) on the basis of a new refined beam theory has been analyzed. The SWCNT is modeled as an elastic beam subjected to unidirectional compressive loads. To achieve this aim, the new proposed beam theory has only one unknown variable which lead to one equation similar to Euler beam theory and also is free of any shear correction factor. The equilibrium equation has been formulated by the nonlocal elasticity theory in order to predict small-scale effects. The equation has been solved by Navier’s approach by which critical buckling loads have been obtained for simple boundary conditions. Finally, to approve the results of the new beam theory, some available well-known references have been compared.