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 › peer-review

169 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 2003

Funding

Y.H. acknowledges the support from NSF (grants 00-99909 and 01-03257), Alexander von Humboldt Foundation, Center for Advanced Study at the University of Illinois, Urbana-Champaign, the NCSA/UIUC Faculty Fellow Program, and NSFC. H.G. acknowledges the support from NSF (grant 01-03257), NSFC and the Ministry of Education, China. K.C.H. acknowledges support from NSFC and the Ministry of Education, China.

Keywords

Carbon nanotube
Constitutive model
Continuum
Nanotube radius

ASJC Scopus subject areas

General Computer Science
General Chemistry
General Materials Science
Mechanics of Materials
General Physics and Astronomy
Computational Mathematics

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10.1016/j.commatsci.2003.08.004

Cite this

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title = "The effect of nanotube radius on the constitutive model for carbon nanotubes",

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.",

keywords = "Carbon nanotube, Constitutive model, Continuum, Nanotube radius",

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

note = "Funding Information: Y.H. acknowledges the support from NSF (grants 00-99909 and 01-03257), Alexander von Humboldt Foundation, Center for Advanced Study at the University of Illinois, Urbana-Champaign, the NCSA/UIUC Faculty Fellow Program, and NSFC. H.G. acknowledges the support from NSF (grant 01-03257), NSFC and the Ministry of Education, China. K.C.H. acknowledges support from NSFC and the Ministry of Education, China. ",

year = "2003",

month = nov,

doi = "10.1016/j.commatsci.2003.08.004",

language = "English (US)",

volume = "28",

pages = "429--442",

journal = "Computational Materials Science",

issn = "0927-0256",

publisher = "Elsevier B.V.",

number = "3-4 SPEC. ISS.",

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T1 - The effect of nanotube radius on the constitutive model for carbon nanotubes

AU - Jiang, H.

AU - Zhang, P.

AU - Liu, B.

AU - Huang, Y.

AU - Geubelle, P. H.

AU - Gao, H.

AU - Hwang, K. C.

N1 - Funding Information: Y.H. acknowledges the support from NSF (grants 00-99909 and 01-03257), Alexander von Humboldt Foundation, Center for Advanced Study at the University of Illinois, Urbana-Champaign, the NCSA/UIUC Faculty Fellow Program, and NSFC. H.G. acknowledges the support from NSF (grant 01-03257), NSFC and the Ministry of Education, China. K.C.H. acknowledges support from NSFC and the Ministry of Education, China.

PY - 2003/11

Y1 - 2003/11

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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JO - Computational Materials Science

JF - Computational Materials Science

IS - 3-4 SPEC. ISS.

ER -

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

Abstract

Funding

Keywords

ASJC Scopus subject areas

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