Buckling of carbon nanotubes under axial compression

We have investigated the axial buckling of a multiwall nanotube by changing its number of layers. Young´s moduli of nanotubes with different inner hollow diameters are estimated to be 0.77 TPa and 0.80 TPa from the Euler´s buckling model, respectively. This good agreement implies that the Euler´s buckling model is applicable to the analysis of the axial buckling behaviors of the nanotubes. The MD simulations for the buckling behaviors of the triple- and the double-walled nanotubes are also consistent with the continuum analysis. Consequently, the multi-shells composing multiwall nanotubes can be treated as a single shell with a thickness for whole shells.