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

Abdelaziz Timesli; Bouazza Braikat; Mohammad Jamal; Noureddine Damil

doi:10.1016/j.crme.2016.12.002

Prediction of the critical buckling load of multi-walled carbon nanotubes under axial compression
[Prédiction de la charge critique de flambage des nanotubes de carbone multi-parois sous compression axiale]

Abdelaziz Timesli ¹ ; Bouazza Braikat ² ; Mohammad Jamal ² ; Noureddine Damil ²

¹ Département de génie civil et environnement, École nationale des sciences appliquées (ENSA), Université Mohammed-Premier, BP 03, Ajdir Al Hoceima, Morocco
² Laboratoire d'Ingénierie et Matériaux LIMAT, Faculté des Sciences Ben M'Sik, Université Hassan-II de Casablanca, Sidi Othman, Casablanca, Morocco

Comptes Rendus. Mécanique, Volume 345 (2017) no. 2, pp. 158-168.

Résumé
Abstract

Cet article a pour objectif la proposition d'une formule analytique explicite de la charge critique de flambage des nantubes de carbone à double parois (DWCNT) soumis à une compression axiale. Cette formule prend en compte les interactions de van der Waals entre les tubes adjacents et l'influence des rayons, généralement negligée dans les formules donnant la charge critique de flambage publiées dans la littérature. L'approche continue des coques multiples de Donnell est utilisée pour la modélisation des nanotubes de carbone multi-parois. La validation de la formule proposée est faite par une comparaison avec une solution numérique. L'effet des termes négligés a aussi été étudié.

In this paper, we propose a new explicit analytical formula of the critical buckling load of double-walled carbon nanotubes (DWCNT) under axial compression. This formula takes into account van der Waals interactions between adjacent tubes and the effect of terms involving tube radii differences generally neglected in the derived expressions of the critical buckling load published in the literature. The elastic multiple Donnell shells continuum approach is employed for modelling the multi-walled carbon nanotubes. The validation of the proposed formula is made by comparison with a numerical solution. The influence of the neglected terms is also studied.

Reçu le : 2016-11-16
Accepté le : 2016-12-20
Publié le : 2017-01-06

DOI : 10.1016/j.crme.2016.12.002

Keywords: Buckling, Multi-walled carbon nanotubes, Van der Waals interaction, Axial compression, Elastic multiple Donnell shell
Mot clés : Flambage, Nanotubes de carbone multi-parois, Interaction de van der Waals, Compression axiale, Coque élastique multiple de Donnell

Affiliations des auteurs :

Abdelaziz Timesli ¹ ; Bouazza Braikat ² ; Mohammad Jamal ² ; Noureddine Damil ²

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     author = {Abdelaziz Timesli and Bouazza Braikat and Mohammad Jamal and Noureddine Damil},
     title = {Prediction of the critical buckling load of multi-walled carbon nanotubes under axial compression},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {158--168},
     publisher = {Elsevier},
     volume = {345},
     number = {2},
     year = {2017},
     doi = {10.1016/j.crme.2016.12.002},
     language = {en},
}

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Abdelaziz Timesli; Bouazza Braikat; Mohammad Jamal; Noureddine Damil. Prediction of the critical buckling load of multi-walled carbon nanotubes under axial compression. Comptes Rendus. Mécanique, Volume 345 (2017) no. 2, pp. 158-168. doi : 10.1016/j.crme.2016.12.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.12.002/

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