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

J. Wu, K. C. Hwang, J. Song, Y. Huang

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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
Issue number6
StatePublished - Nov 1 2008



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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

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