2001/12/31 by Zhan-chun Tu, Zhong-can Ou-Yang
Physics and Astronomy · #cond-mat.mtrl-sci #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.65.233407
published as Phys. Rev. B 65, 233407 (2002) · 4 pages, 1 figure
arxiv created 2002/11/06 · arxiv updated 2009/11/30
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 \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=4.70TPa, 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 ∞.