Thermal effect on wave propagation in double-walled carbon nanotubes embedded in a polymer matrix using nonlocal elasticity

2011 ◽  
Vol 43 (7) ◽  
pp. 1379-1386 ◽  
Author(s):  
Abderrahmane Besseghier ◽  
Abdelouahed Tounsi ◽  
Mohammed Sid Ahmed Houari ◽  
Abdelnour Benzair ◽  
Lakhdar Boumia ◽  
...  
2018 ◽  
Vol 32 (24) ◽  
pp. 1850291
Author(s):  
Yugang Tang ◽  
Ying Liu

In this paper, the influence of van der Waals force on the wave propagation in viscoelastic double-walled carbon nanotubes (DWCNTs) is investigated. The governing equations of wave motion are derived based on the nonlocal strain gradient theory and double-walled Timoshenko beam model. The effects of viscosity, van der Waals force, as well as size effects on the wave propagation in DWCNTs are clarified. The results show that effects of van der Waals force on waves in inner and outer layers of DWCNTs are different. Flexural wave (FW) in outer layer and shear wave (SW) in inner layer are sensitive to van der Waals force, and display new phenomena. This new finding may provide some useful guidance in the acoustic design of nanostructures with DWCNTs as basic elements.


2008 ◽  
Vol 103 (9) ◽  
pp. 094312 ◽  
Author(s):  
Toshiaki Natsuki ◽  
Qing-Qing Ni ◽  
Takuya Hayashi ◽  
Morinobu Endo

2008 ◽  
Vol 22 (28) ◽  
pp. 4975-4986 ◽  
Author(s):  
Y. YAN ◽  
L. X. ZHANG ◽  
W. Q. WANG ◽  
X. Q. HE ◽  
C. M. WANG

This paper investigates the free vibration of multi-walled carbon nanotubes (MWCNTs) with simply supported ends. Based on the nonlocal elasticity theory which allows the effects of small length scale and the more refined van der Waals (vdW) interaction formulas, the equation of motion is first derived and then solved analytically. The results reveal that the effects of the small length scale are significant for small aspect ratios and high radial vibration modes, and are instead insensitive to the number of layers of MWCNTs and weakly dependent on the wall thickness of MWNTs. This finding means that the effects of small length scale on complicated MWCNTs may be simplified to double-walled carbon nanotubes (DWCNTs) or even single-walled carbon nanotubes (SWCNTs).


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