The effect of nanotube radius on the constitutive model for carbon nanotubes

H. Jiang; P. Zhang; B. Liu; Y. Huang; P. H. Geubelle; H. Gao; K. C. Hwang

doi:10.1016/j.commatsci.2003.08.004

The effect of nanotube radius on the constitutive model for carbon nanotubes

H. Jiang, P. Zhang, B. Liu, Y. Huang^*, P. H. Geubelle, H. Gao, K. C. Hwang

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article

161 Scopus citations

Abstract

We investigate the effect of nanotube radius on the constitutive model of single wall carbon nanotubes. We adopt a modified Cauchy-Born rule to incorporate the interatomic potential into the continuum analysis, and such an approach ensures the equilibrium of atoms. It is shown that the nanotube radius has little effect on the mechanical behavior of single wall carbon nanotubes subject to simple tension or pure torsion, while the nanotube orientation has somewhat larger influences.

Original language	English (US)
Pages (from-to)	429-442
Number of pages	14
Journal	Computational Materials Science
Volume	28
Issue number	3-4 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.commatsci.2003.08.004
State	Published - Nov 1 2003

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Keywords

Carbon nanotube
Constitutive model
Continuum
Nanotube radius

ASJC Scopus subject areas

Computer Science(all)
Chemistry(all)
Materials Science(all)
Mechanics of Materials
Physics and Astronomy(all)
Computational Mathematics

Cite this

Jiang, H., Zhang, P., Liu, B., Huang, Y., Geubelle, P. H., Gao, H., & Hwang, K. C. (2003). The effect of nanotube radius on the constitutive model for carbon nanotubes. Computational Materials Science, 28(3-4 SPEC. ISS.), 429-442. https://doi.org/10.1016/j.commatsci.2003.08.004

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author = "H. Jiang and P. Zhang and B. Liu and Y. Huang and Geubelle, {P. H.} and H. Gao and Hwang, {K. C.}",

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AU - Jiang, H.

AU - Zhang, P.

AU - Liu, B.

AU - Huang, Y.

AU - Geubelle, P. H.

AU - Gao, H.

AU - Hwang, K. C.

PY - 2003/11/1

Y1 - 2003/11/1

N2 - We investigate the effect of nanotube radius on the constitutive model of single wall carbon nanotubes. We adopt a modified Cauchy-Born rule to incorporate the interatomic potential into the continuum analysis, and such an approach ensures the equilibrium of atoms. It is shown that the nanotube radius has little effect on the mechanical behavior of single wall carbon nanotubes subject to simple tension or pure torsion, while the nanotube orientation has somewhat larger influences.

AB - We investigate the effect of nanotube radius on the constitutive model of single wall carbon nanotubes. We adopt a modified Cauchy-Born rule to incorporate the interatomic potential into the continuum analysis, and such an approach ensures the equilibrium of atoms. It is shown that the nanotube radius has little effect on the mechanical behavior of single wall carbon nanotubes subject to simple tension or pure torsion, while the nanotube orientation has somewhat larger influences.

KW - Carbon nanotube

KW - Constitutive model

KW - Continuum

KW - Nanotube radius

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Access to Document

10.1016/j.commatsci.2003.08.004