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 | |
| State | Published - Jan 1 2008 |
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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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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 journal › Article
TY - JOUR
T1 - An atomistic-based finite-deformation shell theory for single-wall carbon nanotubes
AU - Wu, J.
AU - Hwang, K. C.
AU - Huang, Y.
PY - 2008/1/1
Y1 - 2008/1/1
N2 - 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.
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.
KW - Bending
KW - Carbon nanotube
KW - Constitutive model
KW - Curvature
KW - Interatomic potential
UR - http://www.scopus.com/inward/record.url?scp=37849030517&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37849030517&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2007.05.008
DO - 10.1016/j.jmps.2007.05.008
M3 - Article
VL - 56
SP - 279
EP - 292
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
IS - 1
ER -