Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells

He, Xiao Qiao, Kitipornchai, Sritawat, Wang, C. M. and Liew, K. M. (2005) Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells. International Journal of Solids and Structures, 42 23: 6032-6047. doi:10.1016/j.ijsolstr.2005.03.045


Author He, Xiao Qiao
Kitipornchai, Sritawat
Wang, C. M.
Liew, K. M.
Title Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells
Journal name International Journal of Solids and Structures   Check publisher's open access policy
ISSN 0020-7683
1879-2146
Publication date 2005-11-01
Sub-type Article (original research)
DOI 10.1016/j.ijsolstr.2005.03.045
Open Access Status Not yet assessed
Volume 42
Issue 23
Start page 6032
End page 6047
Total pages 16
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon Press
Language eng
Abstract This paper models van der Waals (vdW) force for axially compressed multi-walled carbon nanotubes (CNTs), whereby each tube is treated as a cylindrical shell continuum. Explicit formulas are derived for predicting the critical axial strain of a triple-walled CNT using a more refined vdW model. The analysis of a cylindrical shell continuum model of multi-walled CNTs using this refined vdW force model is carried out to study the influence of the effect of vdW interaction between different layers of a CNT and the size effect of a CNT on the vdW interaction. It is shown herein that the greatest contribution to the vdW interaction comes from the adjacent layers and the contribution from a remote layer may be neglected. The vdW interaction is found to be strongly dependent on the radius of the tube, especially when the radius is small enough (<7 nm). When the radius is large enough (>40 nm), the vdW interaction coefficient cij can be taken as a constant value (i.e. independent of radius). However, these constant values are different for the vdW interaction between two different layers of a multi-walled CNT. The effect of the vdW interaction on the critical axial strain of a triple-walled CNT for the cases of before and after buckling is also examined for various innermost radii.
Keyword Critical axial strain
Cylindrical shell model
Triple-walled carbon nanotube
Van der Waals interaction
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
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