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Research Papers

A Nonlinear Van Der Waals Force Model for Multiwalled Carbon Nanotubes Modeled by a Nested System of Cylindrical Shells

[+] Author and Article Information
X. Q. He

Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kongbcxqhe@cityu.edu.hk

S. Kitipornchai

Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kongbcskit@cityu.edu.hk

C. M. Wang

Department of Civil Engineering, National University of Singapore, Kent Ridge, Singapore 119260, Singaporecvewcm@nus.edu.sg

Y. Xiang

School of Engineering, University of Western Sydney, Locked Bag 1797, Penrith South DC, NSW 1797, Australiay.xiang@uws.edu.au

Q. Zhou

School of Civil Engineering and Architecture, Wuhan University of Technology, 122 Luoshi Road, Wuhan, Hubei 430070, P.R.Chinazouq910@yahoo.com.cn

J. Appl. Mech 77(6), 061006 (Aug 19, 2010) (6 pages) doi:10.1115/1.4001859 History: Received June 05, 2009; Revised May 14, 2010; Posted May 20, 2010; Published August 19, 2010; Online August 19, 2010

In this paper, a more refined pressure distribution expression is derived to describe the van der Waals (vdW) interaction between any two tubes of a multiwalled carbon nanotube (MWCNT). Based on this new vdW force expression, a continuum cylindrical shell model is established for the buckling and post-buckling analysis of MWCNTs. The buckling and post-buckling responses are simulated for MWCNTs with various sizes to examine the consequences of ignoring the nonlinear term in the Taylor expansion of vdW force function. By comparing the results furnished by the commonly used linear vdW force model and the present nonlinear vdW force model, it is found that the buckling responses before the critical buckling strain are almost the same. Thus, the simple linear vdW force model suffices for the calculation of buckling loads. However, the post-buckling responses simulated from present nonlinear vdW force model are significantly lower than those given by the linear vdW force model. This indicates that the present nonlinear vdW force model must be used when considering the post-buckling responses.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 4

Buckling and post-buckling characteristics of double-, triple-, and four-walled CNTs with RI=6.8 nm and L/RO=5

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Figure 5

Buckling and post-buckling characteristics of double-, triple-, and four-walled CNTs with RI=6.8 nm and L/RO=10

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Figure 3

Comparison of buckling and post-buckling behaviors of DWCNTs with L/RO=5, m=1, n=2, and various inner radii

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Figure 2

Axial shortening-force response of DWCNTs with RI=6.8 nm, m=2, n=2 and L/RO=5, 10, and 20

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Figure 1

Buckling and post-buckling characteristics of DWCNTs with RI=3.4 nm and L/RO=5, 10, and 20

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