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) |
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Pages (from-to) | 429-442 |
Number of pages | 14 |
Journal | Computational Materials Science |
Volume | 28 |
Issue number | 3-4 SPEC. ISS. |
DOIs | |
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