Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes

2008 ◽  
Vol 56 (12) ◽  
pp. 3475-3485 ◽  
Author(s):  
Y HU ◽  
K LIEW ◽  
Q WANG ◽  
X HE ◽  
B YAKOBSON
Keyword(s):  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Elastic Wave ◽  
Shell Model ◽  
Elastic Wave Propagation ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

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 ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Thermal Effect ◽  
Polymer Matrix ◽  
Nonlocal Elasticity ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Effect of van der Waals force on wave propagation in viscoelastic double-walled carbon nanotubes

2018 ◽  
Vol 32 (24) ◽  
pp. 1850291
Author(s):  
Yugang Tang ◽  
Ying Liu
Keyword(s):  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Van Der Waals ◽  
Van Der Waals Force ◽  
Strain Gradient Theory ◽  
Flexural Wave ◽  
Gradient Theory ◽  
Beam Model ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

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.

Wave propagation in double-walled carbon nanotubes conveying fluid

2008 ◽  
Vol 103 (9) ◽  
pp. 094312 ◽  
Author(s):  
Toshiaki Natsuki ◽  
Qing-Qing Ni ◽  
Takuya Hayashi ◽  
Morinobu Endo
Keyword(s):  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes ◽  
Conveying Fluid

NONLOCAL ANALYTICAL FLUGGE SHELL MODEL FOR AXIAL BUCKLING OF DOUBLE-WALLED CARBON NANOTUBES WITH DIFFERENT END CONDITIONS

NANO ◽  
2012 ◽  
Vol 07 (03) ◽  
pp. 1250018 ◽  
Author(s):  
HESSAM ROUHI ◽  
REZA ANSARI
Keyword(s):  
Carbon Nanotubes ◽  
Boundary Conditions ◽  
Shell Model ◽  
Ritz Method ◽  
Nonlocal Parameter ◽  
Geometrical Parameters ◽  
Field Equations ◽  
Axial Buckling ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

In this paper, a nonlocal Flugge shell model is utilized to investigate the axial buckling behavior of double-walled carbon nanotubes (DWCNTs) under various boundary conditions. According to the nonlocal elasticity theory, the displacement field equations coupled by the van der Waals interaction are derived. The set of governing equations of motion is then solved by the Rayleigh–Ritz method. The present analysis can treat boundary conditions in a layer-wise manner. The effects of nonlocal parameter, layer-wise boundary conditions and geometrical parameters on the mechanical behavior of DWCNTs are examined. Furthermore, molecular dynamics simulations are performed to assess the validity of the results and also to predict the appropriate values of nonlocal parameter. It is found that the type of boundary conditions affects the proper value of nonlocal parameter.

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