Elastic wave propagation in magnetically affected double-walled carbon nanotubes

Abstract

This work deals with the characteristics of the transverse waves within embedded double-walled carbon nanotubes (DWCNTs) which are subjected to an axial magnetic field. Nonlocal Rayleigh, Timoshenko, and higher-order beam theories are adopted. The flexural and shear frequencies as well as their corresponding phase and group velocities of the sound waves for the proposed models are obtained. The role of strength of longitudinal magnetic field (LMF), geometry properties of the DWCNT, size dependency, wavenumber, and elastic properties of the surrounding matrix on the characteristics of the sound waves are explained. The capabilities of the proposed models in capturing such characteristics of the propagated waves are also discussed. The predicted results reveal that the flexural frequencies magnifies with the LMF up to a certain value; however, no distinguished variations for the shear frequencies as a function of the LMF are observed. For the LMF greater than that certain value, the variation of the LMF has a very trivial influence on the variation of the flexural frequencies. Nevertheless, for such a range of the LMF and most wavenumbers, the shear frequencies linearly increase with the LMF.