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

J. Wu; K. C. Hwang; Y. Huang

doi:10.1016/j.jmps.2007.05.008

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

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

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

123 Scopus citations

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 language	English (US)
Pages (from-to)	279-292
Number of pages	14
Journal	Journal of the Mechanics and Physics of Solids
Volume	56
Issue number	1
DOIs	https://doi.org/10.1016/j.jmps.2007.05.008
State	Published - Jan 1 2008

Keywords

Bending
Carbon nanotube
Constitutive model
Curvature
Interatomic potential

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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