Axisymmetric compressive buckling of multi-walled carbon nanotubes under different boundary conditions

Abstract

The paper studies the axisymmetric compressive buckling behavior of multi-walled carbon nanotubes (MWNTs) under different boundary conditions based on continuum mechanics model. A buckling condition is derived for determining the critical buckling load and associated buckling mode of MWNTs, and numerical results are worked out for MWNTs with different aspect ratios under fixed and simply supported boundary conditions. It is shown that the critical buckling load of MWNTs is insensitive to boundary conditions, except for nanotubes with smaller radii and very small aspect ratio. The associated buckling modes for different layers of MWNTs are in-phase, and the buckling displacement ratios for different layers are independent of the boundary conditions and the length of MWNTs. Moreover, for simply supported boundary conditions, the critical buckling load is compared with the corresponding one for axial compressive buckling, which indicates that the critical buckling load for axial compressive buckling can be well approximated by the corresponding one for axisymmetric compressive buckling. In particular, for axial compressive buckling of double-walled carbon nanotubes, an analytical expression is given for approximating the critical buckling

Axial Buckling Behavior of Double-Wall Carbon Nanotubes by Finite Element Simulation

“…2(a)-2(d). We can see that for perfect DWCNTs, the buckling modes of different layers are in-phase, which is consistent with the conclusions of Sun [8]. The buckling modes vary obviously with the increasing of aspect ratio.…”

“…Figs. 3(a)-3(d) give the critical buckling modes for paralleled connected armchair SWCNTs of (8,8) and (13,13) without the Von der Waals' force between different layers and we can find that buckling simply takes place on the outer layer. Compared Figs.…”

A two-unknown nonlocal shear and normal deformations theory for buckling analysis of nanorods

“…Accepting that the nanorod is exposed to axial compressive load S , the virtual potential energy V is represented as (6) xx = −z…”