Critical buckling loads of carbon nanotube embedded in Kerr's medium

Tayeb Bensattalah , Khaled Bouakkaz , Mohamed Zidour , Tahar Hassaine Daouadji

Abstract

In this article, the critical buckling of a single-walled carbon nanotube (SWCNT) embedded in Kerr's medium is studied. Based on the nonlocal continuum theory and the Euler-Bernoulli beam model. The governing equilibrium equations are acquired and solved for CNTs subjected to mechanical loads and embedded in Kerr's medium. Kerr-type model is employed to simulate the interaction of the (SWNT) with a surrounding elastic medium. A first time, a comparison with the available results is made, and another comparison between various models Winkler-type, Pasternak-type and Kerr-type is studied. Effects of nonlocal parameter and aspect ratio of length to diameter of nanobeam, as well as the foundation parameters on buckling of CNT are investigated. These results are important in the mechanical design considerations of nanocomposites based on carbon nanotubes.

Key Words

Kerr's medium; Euler-Bernoulli; buckling; carbon nanotubes; nanobeam

Address

(1) Khaled Bouakkaz: Laboratory of Matérials et Hydrology, University of Sidi Bel Abbés, BP 89 Cité Ben M'hidi, 22000 Sidi Bel Abbés, Algeria; (2) Tayeb Bensattalah, Khaled Bouakkaz, Mohamed Zidour, Tahar Hassaine Daouadji: Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algeria; (3) Tayeb Bensattalah, Mohamed Zidour, Tahar Hassaine Daouadji: Laboratory of Geomatics and Sustainable Development, Ibn Khaldoun University of Tiaret, Algeria.

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