Transverse wave propagation in viscoelastic single-walled carbon nanotubes with small scale and surface effects

In the current work, the vibration characteristics of single-walled carbon nanotubes (SWCNTs) under different boundary conditions are investigated. A nonlocal elastic shell model is utilized, which accounts for the small scale effects and encompasses its classical continuum counterpart as a particular case. The variational form of the Flugge type equations is constructed to which the analytical Rayleigh–Ritz method is applied. Comprehensive results are attained for the resonant frequencies of vibrating SWCNTs. The significance of the small size effects on the resonant frequencies of SWCNTs is shown to be dependent on the geometric parameters of nanotubes. The effectiveness of the present analytical solution is assessed by the molecular dynamics simulations as a benchmark of good accuracy. It is found that, in contrast to the chirality, the boundary conditions have a significant effect on the appropriate values of nonlocal parameter.

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Small-scale effects on transverse vibrational behavior of single-walled carbon nanotubes with arbitrary boundary conditions

Engineering Solid Mechanics ◽

10.5267/j.esm.2015.1.002 ◽

2015 ◽

Vol 3 (2) ◽

pp. 131-144 ◽

Cited By ~ 4

Author(s):

Farzad Ebrahimi ◽

Parisa Nasirzadeh

Keyword(s):

Carbon Nanotubes ◽

Boundary Conditions ◽

Scale Effects ◽

Single Walled Carbon Nanotubes ◽

Small Scale ◽

Arbitrary Boundary ◽

Single Walled Carbon ◽

Vibrational Behavior ◽

Arbitrary Boundary Conditions ◽

Walled Carbon Nanotubes

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Surface effects on network formation of conjugated polymer wrapped semiconducting single walled carbon nanotubes and thin film transistor performance

Organic Electronics ◽

10.1016/j.orgel.2015.07.006 ◽

2015 ◽

Vol 26 ◽

pp. 15-19 ◽

Cited By ~ 29

Author(s):

Zhao Li ◽

Jianfu Ding ◽

Jacques Lefebvre ◽

Patrick R.L. Malenfant

Keyword(s):

Thin Film ◽

Carbon Nanotubes ◽

Conjugated Polymer ◽

Network Formation ◽

Thin Film Transistor ◽

Single Walled Carbon Nanotubes ◽

Surface Effects ◽

Single Walled Carbon ◽

Walled Carbon Nanotubes

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Wave Propagation Analysis for Fluid-Filled Single-Walled Carbon Nanotubes Based on Analytically Nonlocal Euler-Bernoulli Beam Model

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.875-877.917 ◽

2014 ◽

Vol 875-877 ◽

pp. 917-922

Author(s):

Yang Yang

Keyword(s):

Carbon Nanotubes ◽

Wave Propagation ◽

Single Walled Carbon Nanotubes ◽

Nonlocal Effect ◽

The Novel ◽

Bernoulli Beam ◽

Single Walled Carbon ◽

Propagation Analysis ◽

Walled Carbon Nanotubes ◽

Euler Bernoulli Beam

Applying variation principle, the analytical nonlocal Euler-Bernoulli beam models for wave propagation in fluid-filled single-walled carbon nanotubes are established. The novel nonlocal governing equations are derived and used in wave propagation analysis. Comparing with partial nonlocal Euler-Bernoulli beam models used previously, the novel analytical nonlocal models predict stiffness enhancement of CNT and wave decaying at high wavenumber or high nonlocal effect area. Though the novel analytical model is less sensitive than partial nonlocal model when fluid velocity is high, it simulate much high nonlocal effect than the corresponding partial model in many cases.

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