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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e-mail: bcxqhe@cityu.edu.hk
e-mail: bcskit@cityu.edu.hk
e-mail: cvewcm@nus.edu.sg
e-mail: y.xiang@uws.edu.au
e-mail: zouq910@yahoo.com.cn
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November 2010
Research Papers
A Nonlinear Van Der Waals Force Model for Multiwalled Carbon Nanotubes Modeled by a Nested System of Cylindrical Shells
X. Q. He,
X. Q. He
Department of Building and Construction,
e-mail: bcxqhe@cityu.edu.hk
City University of Hong Kong
, Tat Chee Avenue, Kowloon, Hong Kong
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S. Kitipornchai,
S. Kitipornchai
Department of Building and Construction,
e-mail: bcskit@cityu.edu.hk
City University of Hong Kong
, Tat Chee Avenue, Kowloon, Hong Kong
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C. M. Wang,
C. M. Wang
Department of Civil Engineering,
e-mail: cvewcm@nus.edu.sg
National University of Singapore
, Kent Ridge, Singapore 119260, Singapore
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Y. Xiang,
Y. Xiang
School of Engineering,
e-mail: y.xiang@uws.edu.au
University of Western Sydney
, Locked Bag 1797, Penrith South DC, NSW 1797, Australia
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Q. Zhou
Q. Zhou
School of Civil Engineering and Architecture,
e-mail: zouq910@yahoo.com.cn
Wuhan University of Technology
, 122 Luoshi Road, Wuhan, Hubei 430070, P.R.China
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X. Q. He
Department of Building and Construction,
City University of Hong Kong
, Tat Chee Avenue, Kowloon, Hong Konge-mail: bcxqhe@cityu.edu.hk
S. Kitipornchai
Department of Building and Construction,
City University of Hong Kong
, Tat Chee Avenue, Kowloon, Hong Konge-mail: bcskit@cityu.edu.hk
C. M. Wang
Department of Civil Engineering,
National University of Singapore
, Kent Ridge, Singapore 119260, Singaporee-mail: cvewcm@nus.edu.sg
Y. Xiang
School of Engineering,
University of Western Sydney
, Locked Bag 1797, Penrith South DC, NSW 1797, Australiae-mail: y.xiang@uws.edu.au
Q. Zhou
School of Civil Engineering and Architecture,
Wuhan University of Technology
, 122 Luoshi Road, Wuhan, Hubei 430070, P.R.Chinae-mail: zouq910@yahoo.com.cn
J. Appl. Mech. Nov 2010, 77(6): 061006 (6 pages)
Published Online: August 19, 2010
Article history
Received:
June 5, 2009
Revised:
May 14, 2010
Posted:
May 20, 2010
Published:
August 19, 2010
Online:
August 19, 2010
Citation
He, X. Q., Kitipornchai, S., Wang, C. M., Xiang, Y., and Zhou, Q. (August 19, 2010). "A Nonlinear Van Der Waals Force Model for Multiwalled Carbon Nanotubes Modeled by a Nested System of Cylindrical Shells." ASME. J. Appl. Mech. November 2010; 77(6): 061006. https://doi.org/10.1115/1.4001859
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