An atomistic-based finite-deformation shell theory for single-wall carbon nanotubes

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

*Corresponding author for this work

Research output: Contribution to journalArticle

119 Citations (Scopus)

Abstract

A finite-deformation shell theory is developed for single-wall carbon nanotubes (CNTs) based on the interatomic potential. The modified Born rule for Bravais multi-lattice is used to link the continuum strain energy density to the interatomic potential. The theory incorporates the effect of bending moment and curvature for a curved surface, and accurately accounts for the nonlinear, multi-body atomistic interactions as well as the CNT chirality. It avoids the amibiguous definition of nanotube thickness, and provides the constitutive relations among stress, moment, strain and curvature in terms of the interatomic potential.

Original languageEnglish (US)
Pages (from-to)279-292
Number of pages14
JournalJournal of the Mechanics and Physics of Solids
Volume56
Issue number1
DOIs
StatePublished - Jan 1 2008

Fingerprint

shell theory
Carbon nanotubes
carbon nanotubes
Chirality
Bending moments
Strain energy
curvature
Nanotubes
bending moments
curved surfaces
chirality
nanotubes
flux density
continuums
moments
interactions

Keywords

  • Bending
  • Carbon nanotube
  • Constitutive model
  • Curvature
  • Interatomic potential

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "A finite-deformation shell theory is developed for single-wall carbon nanotubes (CNTs) based on the interatomic potential. The modified Born rule for Bravais multi-lattice is used to link the continuum strain energy density to the interatomic potential. The theory incorporates the effect of bending moment and curvature for a curved surface, and accurately accounts for the nonlinear, multi-body atomistic interactions as well as the CNT chirality. It avoids the amibiguous definition of nanotube thickness, and provides the constitutive relations among stress, moment, strain and curvature in terms of the interatomic potential.",
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An atomistic-based finite-deformation shell theory for single-wall carbon nanotubes. / Wu, J.; Hwang, K. C.; Huang, Y.

In: Journal of the Mechanics and Physics of Solids, Vol. 56, No. 1, 01.01.2008, p. 279-292.

Research output: Contribution to journalArticle

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AB - A finite-deformation shell theory is developed for single-wall carbon nanotubes (CNTs) based on the interatomic potential. The modified Born rule for Bravais multi-lattice is used to link the continuum strain energy density to the interatomic potential. The theory incorporates the effect of bending moment and curvature for a curved surface, and accurately accounts for the nonlinear, multi-body atomistic interactions as well as the CNT chirality. It avoids the amibiguous definition of nanotube thickness, and provides the constitutive relations among stress, moment, strain and curvature in terms of the interatomic potential.

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