Issue Eur. Phys. J. B Volume 69, Number 4, June II 2009 Page(s) 523 - 528 Section Computational Methods DOI 10.1140/epjb/e2009-00184-5 Published online 03 June 2009

Eur. Phys. J. B 69, 523-528 (2009)
DOI: 10.1140/epjb/e2009-00184-5

Effects of initial compression stress on wave propagation in carbon nanotubes

M.M. Selim^{1, 2}, S. Abe² and K. Harigaya<sup>2

1</sup>  Department of Mathematics, AL-Aflaj community College, King Saud University, 710-11912 Al-Aflaj, Saudi Arabia
²  Nanotechnology Research Institute, AIST, 305-8568 Tsukuba, Japan

msalim@ksu.edu.sa

Received 13 January 2009 / Received in final form 20 April 2009 / Published online 3 June 2009

Abstract
An analytical method to investigate wave propagation in single- and double- walled carbon nanotubes under initial compression stress is presented. The nanotube structures are treated within the multilayer thin shell approximation with the elastic properties taken to be those of the graphene sheet. The governing equations are derived based on Flügge equations of motion. Frequency equations of wave propagation in single and double wall carbon nanotubes are described through the effects of initial compression stress and van der Waals force. To show the effects of Initial compression stress on the wave propagation in nanotubes, the symmetrical mode can be analyzed based on the present elastic continuum model. It is shown that the wave speed are sensitive to the compression stress especially for the lower frequencies.

PACS
45.10.-b - Computational methods in classical mechanics.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2009

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