A finite-deformation shell theory for carbon nanotubes based on the interatomic potential - Part II

Instability analysis

J. Wu, K. C. Hwang, J. Song, Yonggang Huang*

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)610071-610077
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Volume75
Issue number6
DOIs
StatePublished - Nov 1 2008

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shell theory
Carbon nanotubes
carbon nanotubes
internal pressure
Torsional stress
torsion

Keywords

  • Carbon nanotube
  • Finite deformation
  • Instability
  • Interatomic potential
  • Shell theory

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "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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A finite-deformation shell theory for carbon nanotubes based on the interatomic potential - Part II : Instability analysis. / Wu, J.; Hwang, K. C.; Song, J.; Huang, Yonggang.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 75, No. 6, 01.11.2008, p. 610071-610077.

Research output: Contribution to journalArticle

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T1 - A finite-deformation shell theory for carbon nanotubes based on the interatomic potential - Part II

T2 - Instability analysis

AU - Wu, J.

AU - Hwang, K. C.

AU - Song, J.

AU - Huang, Yonggang

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AB - 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.

KW - Carbon nanotube

KW - Finite deformation

KW - Instability

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KW - Shell theory

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