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Transverse wave propagation in viscoelastic single-walled carbon nanotubes with surface effect based on nonlocal second-order strain gradient elasticity theory
  • Huili Guo,
  • Fulin Shang,
  • Tianhu He
Huili Guo
Lanzhou Jiaotong University
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Fulin Shang
Xi'an Jiaotong University
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Tianhu He
Lanzhou University of Technology
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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.