Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics

Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics
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DOI:
10.1063/1.1625437
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发表时间:
2003-11
影响因子:
3.2
通讯作者:
L. Sudak
L. Sudak
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
L. Sudak

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基于非局部连续介质力学理论,建立了多壁碳纳米管柱屈曲的力学模型。本文的分析认为,每个嵌套的同心管是一个单独的列,所有列的偏转耦合在一起,通过相邻管之间的货车德瓦尔斯相互作用。在此基础上,推导出描述货车范德华力和小的内部长度尺度效应的参数条件。特别是,一个明确的表达式推导出的临界轴向应变的双壁碳纳米管,这清楚地表明,小尺度效应有助于显着的多壁碳纳米管的力学行为,不能忽略。
A model, based on the theory of nonlocal continuum mechanics, on the column buckling of multiwalled carbon nanotubes is presented. The present analysis considers that each of the nested concentric tubes is an individual column and that the deflection of all the columns is coupled together through the van der Waals interactions between adjacent tubes. Based on this description, a condition is derived in terms of the parameters that describe the van der Waals forces and the small internal length scale effects. In particular, an explicit expression is derived for the critical axial strain of a double walled carbon nanotube which clearly demonstrates that small scale effects contribute significantly to the mechanical behavior of multiwalled carbon nanotubes and cannot be ignored.