Modeling of the microstructure of carbon nanotube with two nonlocal elasticity theories

被引：9
|
作者：
Jafari, S. Basir [1 ]
Malekfar, R. [1 ]
Khadem, S. E. [2 ]
机构：
[1] Tarbiat Modares Univ, Dept Phys, Tehran, Iran
[2] Tarbiat Modares Univ, Dept Mech & Aerosp Engn, Tehran, Iran
来源：
JOURNAL OF APPLIED PHYSICS | 2012年 / 111卷 / 03期
关键词：
WAVE-PROPAGATION; CONTINUUM-MECHANICS; SHELL-MODEL; COMPOSITES;
D O I：
10.1063/1.3684545
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, a detailed theoretical study on the dispersion of waves in carbon nanotubes (CNTs) is presented. For this purpose, CNTs are considered as nonlocal elastic thin cylindrical shells. The Eringen's nonlocal elasticity theory is used for modeling the microstructure of CNT such that the proximity of the mathematical model to the actual atomic structure of CNT is retained. The results are compared with the results that are obtained based on the second-order strain-gradient elasticity (SG) theory. It has been shown that the SG theory is the first approximation of nonlocal continuum elasticity (NC) theory, which is used in the present paper. Also, it has been shown that the bending rigidity has important effect in the dispersion of waves in CNTs. (C) 2012 American Institute of Physics.[doi: 10.1063/1.3684545]
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页数：6
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