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Advances in Nano Research
  Volume 9, Number 2, August 2020 , pages 69-82
DOI: https://doi.org/10.12989/anr.2020.9.2.069
 


Buckling analysis of double walled carbon nanotubes embedded in Kerr elastic medium under axial compression using the nonlocal Donnell shell theory
Abdelaziz Timesli

 
Abstract
    In this paper, a new explicit analytical formula is derived for the critical buckling load of Double Walled Carbon Nanotubes (DWCNTs) embedded in Winkler elastic medium without taking into account the effects of the nonlocal parameter, which indicates the effects of the surrounding elastic matrix combined with the intertube Van der Waals (VdW) forces. Furthermore, we present a model which predicts that the critical axial buckling load embedded in Winkler, Pasternak or Kerr elastic medium under axial compression using the nonlocal Donnell shell theory, this model takes into account the effects of internal small length scale and the VdW interactions between the inner and outer nanotubes. The present model predicts that the critical axial buckling load of embedded DWCNTs is greater than that without medium under identical conditions and parameters. We can conclude that the embedded DWCNTs are less susceptible to axial buckling than those without medium.
 
Key Words
    buckling; Double Walled Carbon Nanotubes (DWCNTs); elastic medium; Van der Waals (VdW) interaction; axial compression; small scale effect; nonlocal elasticity theory; Donnell shell theory
 
Address
(1) Abdelaziz Timesli:
Hassan II University of Casablanca, National Higher School of Arts and Crafts of Casablanca (ENSAM Casablanca), Laboratory of Structural Engineering, Intelligent Systems and Electrical Energy, 150 Avenue Nile Sidi Othman, 20670, Casablanca, Morocco
 

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