Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young's moduli dependent on layer number
Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young's moduli dependent on layer number
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DOI：
10.1103/physrevb.65.233407
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发表时间：
2001-12
影响因子：
3.7
通讯作者：
Z. C. Tu;Z. Ou-Yang
中科院分区：
文献类型：
--
作者：
Z. C. Tu;Z. Ou-Yang
从Albersky等人[Nature（伦敦）355，333（1992）]提出的局部密度近似模型导出了变形单壁碳纳米管（SWNT）在连续极限下的完整能量表达式，并表明与经典壳理论一致，其中杨氏模量，泊松比，得到了单壁碳纳米管的有效壁厚分别为：Y=4.70 TPa，h =0.34，$和0.75 AA。多壁碳纳米管（MWNT）的弹性被研究为层间距$d=3.4 \mathrm{\AA{}}$的上述SWNT的组合，并且发现MWNT的有效杨氏模量是层数N的表观函数，对于$N=1$到$\ensurmath {\infty}$，从4.70到1.04 TPa变化。
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 $\ensuremath{\infty}.$