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中南大学学报(自然科学版)

Journal of Central South University

第51卷    第8期    总第312期    2020年8月

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文章编号:1672-7207(2020)08-2289-10
表面效应对碳纳米管中弯曲波波动特性的影响
黄彬1,武井祥1,金花2,周强2

(1. 湘潭大学 土木工程与力学学院,湖南 湘潭,411105;
2. 湘潭大学 物理与光电工程学院,湖南 湘潭,411105
)

摘 要: 基于广义梯度弹性梁理论研究表面效应对自由空间和弹性介质中碳纳米管(CNTs)波动性能的影响。碳纳米管采用同时考虑弯曲变形和剪切变形的剪切梁进行描述,弹性介质采用双参数Pasternak-type弹性基模拟。建立考虑表面效应的广义梯度弹性剪切梁控制方程,推导碳纳米管中弯曲波的色散关系式,并通过分子动力学模拟结果进行验证。探讨表面效应、尺度因子、弹性介质对碳纳米管中弯曲波相速度的影响。对于多壁碳纳米管(MWCNTs),研究波速与范德华力的相关性,讨论MWCNTs层数、表面效应、尺度因子和弹性参数对MWCNTs相速度的影响。研究结果表明:由所推导的色散关系式所得理论结果与分子动力学模拟结果较吻合,表现所推导的色散关系式理论模型能较好地表征碳纳米管弯曲特性。

 

关键词: 碳纳米管;表面效应;尺度因子;弹性介质;广义梯度弹性理论

Influence of surface effect on wave behavior of flexural waves in carbon nanotubes
HUANG Bin1, WU Jingxiang1, JIN Hua2, ZHOU Qiang2

1. School of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China;
2. School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan 411105, China

Abstract:Based on the theory of generalized gradient elastic beam,the influence of surface effect on the wave behavior of carbon nanotubes(CNTs) in free space and elastic medium was studied. CNTs were described by shear beam that considered both bending and shear deformation. The elastic medium was simulated with a two-parameter Pasternak-type elastic foundation. The governing equation of generalized gradient elastic shear beam considering the surface effect was established. The dispersion relation of bending wave in CNTs was derived,which was verified by the results of molecular dynamics simulation. The influence of surface effects, scale factors and elastic medium on the phase velocity of bending waves in CNTs was investigated. For multi-walled carbon nanotubes(MWCNTs), the dependence of wave velocity on van der Weals forces was studied, and the effects of MWCNTs layer number, surface effect, scale factor and elastic parameters on phase velocity of MWCNTs were discussed. The results show that the theoretical rusults obtained by the diperson reletion of bending wave in CNTs are agreement with those by molculer dynamies simulation, which incicates that the theoretical model can characterize the wave behavior of flexural waves in carbon nanotubes.

 

Key words: carbon nanotubes; surface effect; scale factor; elastic medium; generalized gradient elastic beam theory

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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