Axisymmetric compressive buckling of multi-walled carbon nanotubes under different boundary conditions |
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Authors: | Cheng-Qi Sun Kai-Xin Liu You-Shi Hong |
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Institution: | 1. The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, 100190, Beijing, China 2. LTCS and Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University, 100871, Beijing, China
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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 ofMWNTs 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 load.
The present investigation may be of some help in further understanding the mechanical properties of MWNTs. |
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Keywords: | Carbon nanotube · Buckling · van der Waals forces |
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