Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction
Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction
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DOI：
10.1016/j.jmps.2004.08.003
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发表时间：
2005-02-01
影响因子：
5.3
通讯作者：
Liew, KM
中科院分区：
文献类型：
--
作者：
He, XQ;Kitipornchai, S;Liew, KM
推导了多壁碳纳米管（CNT）任意两层之间的货车德瓦尔斯（vdW）相互作用的显式公式。根据推导出的公式。建立了多壁碳纳米管屈曲分析的有效算法。其中单个管被建模为连续圆柱壳。双壁碳纳米管的屈曲的显式表达式也推导出来。在Ru（J.Appl.Phys.87（2000 b）7227）和Wang等人（Int.J.SolidsStruct.40（2003）3893）的先前研究中。只考虑相邻两层之间的vdW相互作用，而忽略其他两层之间的vdW相互作用。vdW相互作用系数被视为一个常数，这是不依赖于管的半径。然而，本文推导的公式揭示了vdW相互作用系数依赖于层间距和管半径的变化。随着半径的增加，系数趋于常数。并且两个相邻层之间的常数比Wang等人（Int.J.Solids. Struct.40（2003）3893）。此外，数值结果表明，vdW相互作用将导致多壁碳纳米管的临界屈曲载荷更高。管半径的临界屈曲载荷的多壁碳纳米管的效果也检查。(C)2004 Elsevier Ltd.保留所有权利。
Explicit formulas are derived for the van der Waals (vdW) interaction between any two layers of a multi-walled carbon nanotube (CNT). Based on the derived formulas. an efficient algorithm is established for the buckling analysis of multi-walled CNTs. in which individual tubes are modeled as a continuum cylindrical shell. The explicit expressions are also derived for the buckling of double-walled CNTs. In previous studies by Ru (J. Appl. Phys. 87 (2000b) 7227) and Wang et al. (Int. J. Solids Struct. 40 (2003) 3893). only the vdW interaction between adjacent two layers was considered and the vdW interaction between the other two layers was neglected. The vdW interaction coefficient was treated as a constant that was not dependent on the radii of the tubes. However, the formulas derived herein reveal that the vdW interaction coefficients are dependent on the change of interlayer spacing and the radii of the tubes. With the increase of radii, the coefficients approach constants.. and the constants between two adjacent layers are about 10% higher than those reported by Wang et al. (Int. J. Solids. Struct. 40 (2003) 3893). In addition.. the numerical results show that the vdW interaction will lead to a higher critical buckling load in multi-walled CNTs. The effect of the tube radius on the critical buckling load of a multi-walled CNT is also examined. (C) 2004 Elsevier Ltd. All rights reserved.