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Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number

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Tu, Zhan-chun, Ou-Yang, Zhong-can·2002·Physical Review B

Abstract

The complete energy expression of a deformed single-walled carbon nanotube (SWNT) is derived in the continuum limit from the local density approximation model proposed by Lenosky et al. [Nature (London) 355, 333 (1992)] and is shown to be consistent with the classic shell theory by which Young's modulus, the Poisson ratio, and the effective wall thickness of SWNT's are obtained as $Y=4.70 \mathrm{TPa},$ $\ensuremath{\nu}=0.34,$ and $h=0.75 \mathrm{\AA{}},$ respectively. The elasticity of a multiwalled carbon nanotube (MWNT) is investigated as the combination of the above SWNT's of layer distance $d=3.4 \mathrm{\AA{}}$ and the effective Young's modulus of the MWNT is found to be an apparent function of the number of layers, N, varying from 4.70 to 1.04 TPa for $N=1$ to $\ensuremath{\infty}.$

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Metadata

Authors
Tu, Z.-C., & Ou-Yang, Z.-C.
Venue
Physical Review B
Published
2002-06-11
Volume
65
Issue
23
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
OpenAlex
W1512954309
Cited by
335
References
26
FWCI
9.83
Type
journal article
Language
en
Open access
green

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Tu, Z.-C., & Ou-Yang, Z.-C. (2002). Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number. Physical Review B. https://doi.org/10.1103/physrevb.65.233407

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