Influence of surface effect on wave behavior of flexural waves in carbon nanotubes

被引:0
作者
Huang B. [1 ]
Wu J. [1 ]
Jin H. [2 ]
Zhou Q. [2 ]
机构
[1] School of Civil Engineering and Mechanics, Xiangtan University, Xiangtan
[2] School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan
来源
Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology) | 2020年 / 51卷 / 08期
关键词
Carbon nanotubes; Elastic medium; Generalized gradient elastic beam theory; Scale factor; Surface effect;
D O I
10.11817/j.issn.1672-7207.2020.08.023
中图分类号
学科分类号
摘要
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. © 2020, Central South University Press. All right reserved.
引用
收藏
页码:2289 / 2298
页数:9
相关论文
共 26 条
  • [1] IIJIMA S., Helical microtubules of graphitic carbon, Nature, 354, 6348, pp. 56-58, (1991)
  • [2] ERINGEN A C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54, 9, pp. 4703-4710, (1983)
  • [3] LIEW K M, HU Yangao, HE X Q., Flexural wave propagation in single-walled carbon nanotubes, Journal of Computational and Theoretical Nanoscience, 5, 4, pp. 581-586, (2008)
  • [4] PANG M, ZHANG Y Q, CHEN W Q., Transverse wave propagation in viscoelastic single-walled carbon nanotubes with small scale and surface effects, Journal of Applied Physics, 117, 2, (2015)
  • [5] YU Yang, YANG Yang, Wave propagation of fluid-filled single-walled carbon nanotubes based on the nonlocal-strain gradient theory, Journal of Vibration and Shock, 36, 8, pp. 1-8, (2017)
  • [6] WANG Birong, DENG Zichen, XU Xiaojian, Modified Timoshenko beam models for flexural wave dispersion in carbon nanotubes with shear deformation considered, Journal of Northwestern Polytechnical University, 31, 5, pp. 774-778, (2013)
  • [7] SHEN Jun, WU Jingxiang, SONG Jie, Et al., Flexural waves of carbon nanotubes based on generalized gradient elasticity, Physica Status Solidi(b), 249, 1, pp. 50-57, (2012)
  • [8] GAFOUR Y, ZIDOUR M, TOUNSI A, Et al., Sound wave propagation in zigzag double-walled carbon nanotubes embedded in an elastic medium using nonlocal elasticity theory, Physica E: Low-Dimensional Systems and Nanostructures, 48, pp. 118-123, (2013)
  • [9] CAMMARATA R C., Surface and interface stress effects on interfacial and nanostructured materials, Materials Science and Engineering: A, 237, 2, pp. 180-184, (1997)
  • [10] LI Li, HU Yujin, LING Ling, Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory, Physica E: Low-dimensional Systems and Nanostructures, 75, pp. 118-124, (2016)