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Torsional buckling of multi-wall carbon nanotubes embedded in an elastic medium

机译：嵌入弹性介质中的多壁碳纳米管的扭转屈曲

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摘要

This paper investigates torsional buckling of a multi-wall carbon nanotube embedded in an elastic medium. The effects of surrounding elastic medium and van der Waals forces from adjacent nanotubes are taken into account. Using continuum mechanics, an elastic laminated shell model is presented to study the torsional buckling of a multi-wall carbon nanotube embedded in an elastic medium. A laminated cylinder composed of a multi-wall carbon nanotube and a surrounding elastic medium is used to describe the effect of elastic medium on the multi-wall carbon nanotubes. According to the ratio of radius-to-thickness, multi-wall carbon nanotubes discussed here are classified into three cases: thin, thick, and nearly solid. The critical shear stress and the torsional buckling mode are calculated for various radius-to-thickness ratios and elastic medium effects. Results carried out show that the buckling mode (m, n) corresponding the critical shear stress is sole, which is obviously different from the axially compressed buckling of multi-wall carbon nanotubes. The investigation on torsional buckling of multi-wall carbon nanotubes embedded in an elastic medium in this paper may be used as a useful reference for the designs of nano-oscillators and actuators in which multi-wall carbon nanotubes act as torsional springs.
机译：本文研究了嵌入弹性介质中的多壁碳纳米管的扭转屈曲。考虑了周围弹性介质和来自相邻纳米管的范德华力的影响。利用连续力学，提出了一种弹性层压壳模型，研究了嵌入弹性介质中的多壁碳纳米管的扭转屈曲。由多层碳纳米管和周围的弹性介质组成的叠层圆柱体用于描述弹性介质对多层碳纳米管的影响。根据半径与厚度的比率，此处讨论的多壁碳纳米管可分为三种情况：薄，厚和近乎固态。计算了各种厚度/半径比和弹性介质效应的临界剪切应力和扭转屈曲模式。结果表明，与临界剪切应力相对应的屈曲模式（m，n）是唯一的，这明显不同于多壁碳纳米管的轴向压缩屈曲。本文对嵌入弹性介质中的多壁碳纳米管的扭转屈曲的研究，可作为设计多壁碳纳米管作为扭转弹簧的纳米振荡器和致动器的有用参考。

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