An elastic double-shell model based on continuum mechanics is presented to study the dynamic torsional buckling of an embedded double-walled carbon nanotube (EDWCNT). Based on the model, a condition is derived to predict the buckling load of the EDWCNT. It is shown that the buckling load of the EDWCNT for dynamic torsional buckling is no less than that for the static torsional buckling. Further, the effect of the van der Waals forces is discussed when an inner nanotube is inserted into an embedded outer one. In particular, the paper shows that, in the absence of the initial van der Waals forces, the buckling load of an EDWCNT is always in-between that of an isolated inner tube and of an embedded outer nanotube, which is different from the result obtained by neglecting the difference of radii. This indicates that disregarding the difference of the radii of the double-walled nanotubes can not properly describe the effect of the van der Waals forces between interlayer spacing.
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机译：提出了一种基于连续力学的弹性双壳模型，研究了嵌入双壁碳纳米管（EDWCNT）的动态扭转弯曲。基于该模型，导出了一种条件以预测EDWCNT的屈曲负荷。结果表明，用于动态扭转屈曲的EDWCNT的屈曲负荷不小于静态扭转屈曲的负荷。此外，当内纳米管插入嵌入的外部纳米管中时，讨论了范德瓦尔斯力的效果。特别地，纸张表明，在没有初始范德瓦尔斯力的情况下，EDWCNT的屈曲负荷总是在隔离的内管和嵌入的外纳米管的屈曲负荷与所获得的结果不同通过忽略半径的差异。这表明忽略双壁纳米管的半径的差异不能正确描述van der WaaS力在中间间距之间的效果。
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