Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction

2005 ◽  
Vol 53 (2) ◽  
pp. 303-326 ◽  
Author(s):  
X.Q. He ◽  
S. Kitipornchai ◽  
K.M. Liew
Keyword(s):  
Carbon Nanotubes ◽  
Continuum Model ◽  
Van Der Waals ◽  
Buckling Analysis ◽  
Van Der Waals Interaction ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Finite Element Modeling of van der Waals Interaction for Elastic Stability of Multi-Walled Carbon Nanotubes

2008 ◽  
Vol 55-57 ◽  
pp. 525-528 ◽  
Author(s):  
Chawis Thongyothee ◽  
Somchai Chucheepsakul
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element ◽  
Van Der Waals ◽  
Compressive Force ◽  
Covalent Bond ◽  
Van Der Waals Force ◽  
Tube Length ◽  
Axial Compressive Force ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

The purpose of this study is to assess the effect of van der Waals interactions within multi-walled carbon nanotubes with the three dimensional finite element models. The elastic buckling behaviors of nanotubes are treated under axial compressive force acting on open both ends of nanotubes and considered with various boundary conditions. The analysis is based on the assumptions that the covalent bond of each wall is represented by an elastic beam element while the van der Waals force of adjacent walls are represented by a nonlinear truss element following the Lennard-Jones “6-12” theory. The models of double-walled carbon nanotubes are used to explain the characteristic of multi-walled carbon nanotubes and then results compared with the column theory. The results show that the critical load of nanotubes depends on atomic arrangement, tube length, and number of walls, while the van der Waals force has a small effect on the buckling load for multi-walled carbon nanotubes.

Continuum Modeling of van der Waals Interaction Force Between Carbon Nanocones and Carbon Nanotubes

2011 ◽  
Vol 2 (3) ◽  
Author(s):  
F. Alisafaei ◽  
R. Ansari ◽  
H. Rouhi
Keyword(s):  
Carbon Nanotubes ◽  
Van Der Waals ◽  
Interaction Force ◽  
Van Der Waals Interaction ◽  
Continuum Modeling ◽  
Jones Potential ◽  
Carbon Nanocones ◽  
Single Walled Carbon ◽  
Lennard Jones ◽  
Walled Carbon Nanotubes

Using the Lennard–Jones potential, continuum modeling of the van der Waals potential energy and interaction force distributions are investigated for the eccentric and concentric single-walled carbon nanocones inside the single-walled carbon nanotubes. Furthermore, a new semi-analytical solution is presented to evaluate the van der Waals interaction of the nanocone located on the axis of the nanotube. Eccentric and concentric configurations of these nanostructures are also investigated to obtain the preferred position of the nanocone inside the nanotubes. Finally, the optimum radius of a carbon nanotube for which the preferred location of carbon nanocones is along the tube axis is found.

Strain and friction induced by van der Waals interaction in individual single walled carbon nanotubes

2007 ◽  
Vol 90 (25) ◽  
pp. 253113 ◽  
Author(s):  
Hyungbin Son ◽  
Georgii G. Samsonidze ◽  
Jing Kong ◽  
Yingying Zhang ◽  
Xiaojie Duan ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Van Der Waals ◽  
Single Walled Carbon Nanotubes ◽  
Van Der Waals Interaction ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes
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