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

Effects of initial compression stress on wave propagation in carbon nanotubes

¹ 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

Corresponding author: ^a msalim@ksu.edu.sa

Received: 13 January 2009
Revised: 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.