Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium
Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium
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DOI：
10.1016/s0022-5096(00)00079-x
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发表时间：
2001-06-01
影响因子：
5.3
通讯作者：
Ru, CQ
中科院分区：
文献类型：
--
作者：
Ru, CQ
提出了一种弹性双壳模型，用于研究轴向压缩下嵌入弹性基体中的双壁碳纳米管的微小屈曲。该分析基于周围弹性介质的文克勒模型以及内外纳米管之间范德华相互作用的简化模型。推导了临界轴向应变的显式公式，该公式表明了周围弹性基体与管间范德华力共同作用的影响。特别是，本模型预测在其他条件相同的情况下，嵌入的双壁纳米管的临界轴向应变低于嵌入的单壁纳米管。这意味着插入内管会降低嵌入的单壁碳纳米管的临界轴向应变，尽管由于纳米管横截面积的增加，总临界压缩力可能会增加。临界轴向应变的降低归因于内外管之间的管间滑移。这一结果表明，嵌入的多壁碳纳米管可能比嵌入的单壁碳纳米管更容易发生微小轴向屈曲。（C）2001爱思唯尔科学有限公司。保留所有权利。
An elastic double-shell model is presented for infinitesimal buckling of a double-walled carbon nanotube embedded in an elastic matrix under axial compression. The analysis is based on a Winker model for the surrounding elastic medium and a simplified model for the van der Waals interaction between the inner and outer nanotubes. An explicit formula is derived for the critical axial strain, which indicates the effects of the surrounding elastic matrix combined with the intertube van der Waals forces. In particular, the present model predicts that the critical axial strain of the embedded double-walled nanotube is lower than that of an embedded single-walled nanotube under otherwise identical conditions. This implies that inserting an inner tube lowers the critical axial strain of an embedded single-walled carbon nanotube, although the total critical compressive force could be increased due to the increase in the cross-sectional area of the nanotube. The reduced critical axial strain is attributed to the intertube slips between the inner and outer tubes. This result indicates that embedded multi-walled carbon nanotubes could be even more susceptible to infinitesimal axial buckling than embedded single-walled carbon nanotubes. (C) 2001 Elsevier Science Ltd. All rights reserved.