Effects of initial compression stress on wave propagation in carbon nanotubes

TL;DR

This paper presents an analytical model to study how initial compression stress influences wave propagation in single- and double-walled carbon nanotubes, revealing that wave speed is notably affected at lower frequencies.

Contribution

It introduces a multilayer thin shell elastic continuum model incorporating initial compression stress effects on wave behavior in nanotubes.

Findings

Wave speeds are sensitive to initial compression stress.

Lower frequency waves are more affected by compression stress.

The model captures van der Waals force effects in double-walled nanotubes.

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 Flugge 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.