Effects of initial compression stress on wave propagation in carbon nanotubes |
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Authors: | M M Selim S Abe and K Harigaya |
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Institution: | (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 |
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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. |
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Keywords: | PACS" target="_blank">PACS 45 10 -b Computational methods in classical mechanics |
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