Critical Buckling Load of Chiral Double-Walled Carbon Nanotubes Embedded in an Elastic Medium

2018 ◽  
Vol 53 (6) ◽  
pp. 827-836 ◽  
Author(s):  
A. Chemi ◽  
M. Zidour ◽  
H. Heireche ◽  
K. Rakrak ◽  
A. A. Bousahla
Keyword(s):  
Carbon Nanotubes ◽  
Elastic Medium ◽  
Buckling Load ◽  
Critical Buckling Load ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Thermal buckling analysis of double-walled carbon nanotubes considering the small-scale length effect

2011 ◽  
Vol 225 (1) ◽  
pp. 248-256 ◽  
Author(s):  
A Ghorbanpour Arani ◽  
M Mohammadimehr ◽  
A R Saidi ◽  
S Shogaei ◽  
A Arefmanesh
Keyword(s):  
Temperature Change ◽  
Buckling Analysis ◽  
Buckling Load ◽  
Small Scale ◽  
Buckling Mode ◽  
Critical Buckling Load ◽  
Winkler Model ◽  
Non Local ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

In this article, the buckling analysis of a double-walled carbon nanotube (DWCNT) subjected to a uniform internal pressure in a thermal field is investigated. The effects of the temperature change, the surrounding elastic medium based on the Winkler model, and the van der Waals forces between the inner and the outer tubes are considered using the continuum cylindrical shell model. The small-length scale effect is also included in the present formulation. The results show that there is a unique buckling mode corresponding to each critical buckling load. Moreover, it is shown that the non-local critical buckling load is lower than the local critical buckling load. It is concluded that, at low temperatures, the critical buckling load for the infinitesimal buckling of a DWCNT increases as the magnitude of temperature change increases whereas at high temperatures, the critical buckling load decreases with the increasing of the temperature.

Critical Buckling Load of Triple-Walled Carbon Nanotube Based on Nonlocal Elasticity Theory

2020 ◽  
Vol 62 ◽  
pp. 108-119
Author(s):  
Tayeb Bensattalah ◽  
Ahmed Hamidi ◽  
Khaled Bouakkaz ◽  
Mohamed Zidour ◽  
Tahar Hassaine Daouadji
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Axial Compression ◽  
Buckling Load ◽  
Small Scale ◽  
Beam Model ◽  
Buckling Loads ◽  
Critical Buckling Load ◽  
Nonlocal Continuum Theory ◽  
Walled Carbon Nanotubes

The present paper investigates the nonlocal buckling of Zigzag Triple-walled carbon nanotubes (TWCNTs) under axial compression with both chirality and small scale effects. Based on the nonlocal continuum theory and the Timoshenko beam model, the governing equations are derived and the critical buckling loads under axial compression are obtained. The TWCNTs are considered as three nanotube shells coupled through the van der Waals interaction between them. The results show that the critical buckling load can be overestimated by the local beam model if the small-scale effect is overlooked for long nanotubes. In addition, a significant dependence of the critical buckling loads on the chirality of zigzag carbon nanotube is confirmed, and these are then compared with: A single-walled carbon nanotubes (SWCNTs); and Double-walled carbon nanotubes (DWCNTs). These findings are important in mechanical design considerations and reinforcement of devices that use carbon nanotubes.

Nonlocal Shear Deformable Shell Model for Post-Buckling of Axially Compressed Double-Walled Carbon Nanotubes Embedded in an Elastic Matrix

2010 ◽  
Vol 77 (4) ◽  
Author(s):  
Hui-Shen Shen ◽  
Chen-Li Zhang
Keyword(s):  
Carbon Nanotubes ◽  
Shell Model ◽  
Elastic Medium ◽  
Scale Parameter ◽  
Small Scale ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes ◽  
Shear Deformable

Buckling and post-buckling analysis is presented for axially compressed double-walled carbon nanotubes (CNTs) embedded in an elastic matrix in thermal environments. The double-walled carbon nanotube is modeled as a nonlocal shear deformable cylindrical shell, which contains small scale effects and van der Waals interaction forces. The surrounding elastic medium is modeled as a tensionless Pasternak foundation. The post-buckling analysis is based on a higher order shear deformation shell theory with the von Kármán–Donnell-type of kinematic nonlinearity. The thermal effects are also included and the material properties are assumed to be temperature-dependent and are obtained from molecular dynamics (MD) simulations. The nonlinear prebuckling deformations of the shell and the initial local point defect, which is simulated as a dimple on the tube wall, are both taken into account. A singular perturbation technique is employed to determine the post-buckling response of the tubes and an iterative scheme is developed to obtain numerical results without using any assumption on the shape of the contact region between the tube and the elastic medium. The small scale parameter e0a is estimated by matching the buckling loads of CNTs observed from the MD simulation results with the numerical results obtained from the nonlocal shear deformable shell model. Numerical solutions are presented to show the post-buckling behavior of CNTs surrounded by an elastic medium of conventional and tensionless Pasternak foundations. The results show that buckling and post-buckling behavior of CNTs is very sensitive to the small scale parameter e0a. The results reveal that the unilateral constraint has a significant effect on the post-buckling response of CNTs when the foundation stiffness is sufficiently large.

scholarly journals Prediction of the critical buckling load of multi-walled carbon nanotubes under axial compression

2017 ◽  
Vol 345 (2) ◽  
pp. 158-168 ◽  
Author(s):  
Abdelaziz Timesli ◽  
Bouazza Braikat ◽  
Mohammad Jamal ◽  
Noureddine Damil
Keyword(s):  
Carbon Nanotubes ◽  
Axial Compression ◽  
Buckling Load ◽  
Critical Buckling Load ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Buckling characteristics of embedded multi-walled carbon nanotubes

2005 ◽  
Vol 461 (2064) ◽  
pp. 3785-3805 ◽  
Author(s):  
K.M Liew ◽  
X.Q He ◽  
S Kitipornchai
Keyword(s):  
Carbon Nanotubes ◽  
Approximate Expression ◽  
Buckling Load ◽  
Critical Buckling Load ◽  
Number Of Layers ◽  
The Matrix ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes ◽  
Walled Cnts ◽  
Vdw Interaction

An analytical algorithm is proposed to describe the buckling behaviour of multi-walled carbon nanotubes (CNTs) that are embedded in a matrix with consideration of the van der Waals (vdW) interaction. The individual tube is treated as a cylindrical shell, but the tube deflections are coupled with each other due to the vdW interaction. The interaction between the matrix and the outermost tube is modelled as a Pasternak foundation. Based on the proposed model, an accurate expression and a simple approximate expression are derived for the buckling load of double-walled CNTs that are embedded in a matrix. The approximate expression clearly indicates that the vdW force is coupled with the matrix parameters. A numerical simulation is carried out, and the results reveal that the increase in the number of layers leads to a decrease in the critical buckling load for multi-walled CNTs with a fixed innermost radius. In contrast, when the outermost radius is fixed, the critical buckling load increases with the increase in the number of layers for multi-walled CNTs without a matrix. However, for multi-walled CNTs that are embedded in a matrix, the critical buckling load decreases first and then increases with the increase in the number of layers. This implies that there is a given number of layers for a multi-walled CNT at which the critical buckling load is the lowest, and that this number depends on the matrix parameters.

Free vibration characteristics of double-walled carbon nanotubes embedded in an elastic medium

2010 ◽  
Vol 374 (26) ◽  
pp. 2670-2674 ◽  
Author(s):  
Toshiaki Natsuki ◽  
Xiao-Wen Lei ◽  
Qing-Qing Ni ◽  
Morinobu Endo
Keyword(s):  
Carbon Nanotubes ◽  
Free Vibration ◽  
Elastic Medium ◽  
Vibration Characteristics ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes
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