Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number
Year: 2002
Type: article
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 $\ensuremath{\infty}.$
Authors: Zhan-chun Tu, Zhong-can Ou-Yang
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1512954309