Abstract
The behavior of transverse waves propagating in carbon nanotubes (CNTs) in a free space and in an elastic matrix is investigated. The CNTs are modeled as Timoshenko beams of hybrid gradient elasticity theory and the elastic matrix is modeled as a bi-parameter Pasternak foundation. A governing equation with two scale factors is derived for Timoshenko beams where shear deformation and rotary inertia are taken into account. The dispersion relation of flexural waves in CNTs is given and confirmed by molecular dynamics simulations. A comparison of the phase velocity of single-walled CNTs is made when neglecting shear deformation and/or rotary inertia. The wave speed of acoustic branch is especially focused for multi-walled CNTs and the wave speed is dependent on van der Waals interaction. The effects of the surrounding medium and scale parameters on the velocity of bending waves are discussed, in particular for acoustic mode.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
