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RESEARCH PAPERS

Buckling Analysis of Multiwalled Carbon Nanotubes Under Torsional Load Coupling With Temperature Change

[+] Author and Article Information
Xiaohu Yao

Department of Engineering Mechanics, College of Traffic and Communications,  South China University of Technology, Guangzhou, 510640, P.R. China

Qiang Han1

Department of Engineering Mechanics, College of Traffic and Communications,  South China University of Technology, Guangzhou, 510640, P.R. Chinaemqhan@scut.edu.cn

1

Corresponding author.

J. Eng. Mater. Technol 128(3), 419-427 (Dec 20, 2005) (9 pages) doi:10.1115/1.2203102 History: Received June 11, 2005; Revised December 20, 2005

The buckling of multiwalled carbon nanotubes under torsional load coupling with temperature change is researched. The effects of torsional load, temperature change, surrounding elastic medium, and van der Waals forces between the inner and outer nanotubes are taken into account at the same time. Using continuum mechanics, an elastic multishell model with thermal effect is presented for buckling of a multiwalled carbon nanotube embedded in an elastic matrix under thermal environment and torsional load. Based on the model, numerical results for the general case are obtained for the thermal effect on buckling of a multiwalled carbon nanotube under torsional load. It is shown that the buckling torque of a multiwalled carbon nanotube under a certain value of temperature change is dependent on the wave number of torsional buckling modes, and a conclusion is drawn that at room or lower temperature the critical torsional load for infinitesimal buckling of a multiwalled carbon nanotube increases as the value of temperature change increases, while at temperature higher than room temperature the critical torsional load for infinitesimal buckling of a multiwalled carbon nanotube decreases as the value of temperature change increases.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Multiwalled nanotube embedded in an elastic medium

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Figure 2

Distribution of torsional buckling load of multiwalled carbon nanotubes under single torsional load (T=0K), for the wave numbers (m,n)

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Figure 3

Distribution of torsional buckling load of multiwalled carbon nanotubes under torsional load and temperature change at lower temperature environment (T=100K,200K), for the wave numbers (m,n): (a)T=100K at a lower temperature environment and (b)T=200K at a lower temperature environment

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Figure 4

Distribution of torsional buckling load of multiwalled carbon nanotubes under torsional load and temperature change at higher temperature environment (T=100K, 200K, 400K, 600K) for the wavenumbers (m,n): (a)T=100K at a higher temperature environment, (b)T=200K at a higher temperature environment, (c)T=400K at a higher temperature environment, and (d)T=600K at a higher temperature environment

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Figure 5

Distribution of torsional buckling load of multiwalled carbon nanotubes under torsional load and temperature change, for the wavenumbers (m,6): (a) at a lower temperature environment (T=0K, 100K, 200K) and (b) at a higher temperature environment (T=0K, 100K, 200K, 400K, 600K)

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Figure 6

The relationship of the critical minimum torque and the temperature change at lower temperature and higher temperature environments: (a) at a lower temperature environment and (b) at a higher temperature environment

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