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首页> 外文期刊>International Journal of Solids and Structures >Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells
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Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells

机译:范德华力建模为圆柱壳的多壁碳纳米管的无穷变形的模型

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This paper models van der Waals (vdW) force for axially compressed multi-walled carbon nanotubes (CNTs), whereby each tube is treated as a cylindrical shell continuum. Explicit formulas are derived for predicting the critical axial strain of a triple-walled CNT using a more refined vdW model. The analysis of a cylindrical shell continuum model of multi-walled CNTs using this refined vdW force model is carried out to study the influence of the effect of vdW interaction between different layers of a CNT and the size effect of a CNT on the vdW interaction. It is shown herein that the greatest contribution to the vdW interaction comes from the adjacent layers and the contribution from a remote layer may be neglected. The vdW interaction is found to be strongly dependent on the radius of the tube, especially when the radius is small enough (< 7 nm). When the radius is large enough (> 40 nm), the vdW interaction coefficient c(ij) can be taken as a constant value (i.e. independent of radius). However, these constant values are different for the vdW interaction between two different layers of a multi-walled CNT. The effect of the vdW interaction on the critical axial strain of a triple-walled CNT for the cases of before and after buckling is also examined for various innermost radii. (c) 2005 Elsevier Ltd. All rights reserved.
机译:本文对轴向压缩的多壁碳纳米管(CNT)的范德华力(vdW)进行建模,从而将每个管视为圆柱壳连续体。导出了明确的公式,以使用更精确的vdW模型预测三壁CNT的临界轴向应变。使用这种改进的vdW力模型对多壁CNT的圆柱壳连续体模型进行了分析,以研究vdW相互作用在CNT的不同层之间的影响以及CNT的尺寸效应对vdW相互作用的影响。在此示出,对vdW交互的最大贡献来自相邻层,并且来自远程层的贡献可以忽略。发现vdW相互作用强烈依赖于管的半径,尤其是当半径足够小(<7 nm)时。当半径足够大(> 40nm)时,vdW相互作用系数c(ij)可以取为恒定值(即与半径无关)。然而,对于多壁CNT的两个不同层之间的vdW相互作用,这些常数值是不同的。还针对各种最内半径检查了屈曲前后vdW相互作用对三壁CNT临界轴向应变的影响。 (c)2005 Elsevier Ltd.保留所有权利。

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