Based on the finite-deformation shell theory for carbon nanotubes established from the interatomic potential in Part I of this paper, we have studied the instability of carbon nanotubes subjected to different loadings (tension, compression, internal and external pressures, and torsion). Similar to the conventional shells, carbon nanotubes may undergo bifurcation under compression/torsion/external pressure. Our analysis, however, shows that carbon nanotubes may also undergo bifurcation in tension and internal pressure, though the bifurcation modes for tension and compression are very different, and so are the modes for the internal and external pressures. The critical load for instability and bifurcation depends on the interatomic potential used.
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e-mail: y-huang@northwestern.edu
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November 2008
Research Papers
A Finite-Deformation Shell Theory for Carbon Nanotubes Based on the Interatomic Potential—Part II: Instability Analysis
J. Wu,
J. Wu
FML, Department of Engineering Mechanics,
Tsinghua University
, Beijing 100084, P.R. China
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K. C. Hwang,
K. C. Hwang
FML, Department of Engineering Mechanics,
Tsinghua University
, Beijing 100084, P.R. China
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J. Song,
J. Song
Department of Mechanical Science and Engineering,
University of Illinois
, 1206 W. Green Street, Urbana, IL 61801
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Y. Huang
Y. Huang
Department of Civil and Environmental Engineering, and Department of Mechanical Engineering,
e-mail: y-huang@northwestern.edu
Northwestern University
, Evanston, IL 60208
Search for other works by this author on:
J. Wu
FML, Department of Engineering Mechanics,
Tsinghua University
, Beijing 100084, P.R. China
K. C. Hwang
FML, Department of Engineering Mechanics,
Tsinghua University
, Beijing 100084, P.R. China
J. Song
Department of Mechanical Science and Engineering,
University of Illinois
, 1206 W. Green Street, Urbana, IL 61801
Y. Huang
Department of Civil and Environmental Engineering, and Department of Mechanical Engineering,
Northwestern University
, Evanston, IL 60208e-mail: y-huang@northwestern.edu
J. Appl. Mech. Nov 2008, 75(6): 061007 (7 pages)
Published Online: August 20, 2008
Article history
Received:
June 16, 2007
Revised:
May 10, 2008
Published:
August 20, 2008
Connected Content
A companion article has been published:
A Finite-Deformation Shell Theory for Carbon Nanotubes Based on the Interatomic Potential—Part I: Basic Theory
Citation
Wu, J., Hwang, K. C., Song, J., and Huang, Y. (August 20, 2008). "A Finite-Deformation Shell Theory for Carbon Nanotubes Based on the Interatomic Potential—Part II: Instability Analysis." ASME. J. Appl. Mech. November 2008; 75(6): 061007. https://doi.org/10.1115/1.2965367
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