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.