Single- and multi-walled carbon nanotubes viewed as elastic tubes with Young's moduli dependent on layer number

dc.creatorTu, Zhan-chun
dc.creatorOu-Yang, Zhong-can
dc.date2001-12-26
dc.date2002-11-06
dc.date.accessioned2026-07-07T02:43:57Z
dc.date.available2026-07-07T02:43:57Z
dc.descriptionThe 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 {\it et al.} \lbrack Nature (London) {\bf 355}, 333 (1992)\rbrack and shows to be content with the classic shell theory by which the Young's modulus, the Poisson ratio and the effective wall thickness of SWNTs are obtained as $Y=4.70$TPa, $ν=0.34$, $h=0.75{\rm Å}$, respectively. The elasticity of a multi-walled carbon nanotube (MWNT) is investigated as the combination of the above SWNTs of layer distance $d=3.4 {\rm Å}$ and the Young's modulus of the MWNT is found to be an apparent function of the number of layers, $N$, varying from 4.70TPa to 1.04TPa for N=1 to $\infty$.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0112454
dc.identifierhttp://arxiv.org/abs/cond-mat/0112454
dc.identifierPhys. Rev. B 65, 233407 (2002)
dc.identifierdoi:10.1103/PhysRevB.65.233407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18715
dc.subjectMaterials Science
dc.subjectMesoscale and Nanoscale Physics
dc.titleSingle- and multi-walled carbon nanotubes viewed as elastic tubes with Young's moduli dependent on layer number
dc.typetext

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