Transverse wave propagation in viscoelastic single-walled carbon
nanotubes with surface effect based on nonlocal second-order strain
gradient elasticity theory
Abstract
Nowadays, carbon nanotubes (CNTs) have been used as one of the most
promising candidates for nanodevices (or nanoelectronics) and
super-strong reinforcement fibers in nanocomposites. This work aims to
investigate the transverse wave propagation in viscoelastic
single-walled carbon nanotubes (SWCNTs) adhered by surface material. In
the context of nonlocal second-order strain gradient elasticity theory,
the characteristic equation of wave motion of viscoelastic SWCNTs with
surface effect is systematically formulated. The analytical expression,
i.e. closed-form dispersion relation between the wave frequency (or
phase velocity) and the wave number, are derived for the frequency and
phase velocity of the wave motion. The size-dependent characteristic
lengths, surface effects and structural damping on the properties of
wave propagation are elucidated in detail.