Effect of Thermo-Elastic Damping on Transverse Waves Propagating in a Single-Wall Carbon Nanotube

Selim, Mahmoud M.

doi:10.12693/aphyspola.135.903

Cited by 6 publications

(4 citation statements)

References 33 publications

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“…In this regard, the effects of small scale and initial stress on the dynamic response of SWCNTs are studied in some detail. For this purpose, the Young modulus E = 1 TPa, the mass density ρ = 1340 kg/m 3 and the Poisson ratio ν = 0.27 [35] and the SWCNT was the (40,0) zigzag tube with an effective diameter of 3.13 nm.…”

Section: Resultsmentioning

confidence: 99%

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Dispersion of Transverse Waves in Single-Wall Carbon Nanotubes

Selim

2019

Acta Phys. Pol. A

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In this work we investigate the influence of initial stress on the transverse waves propagation in single-wall carbon nanotubes with small scale effects under ultrahigh frequency (above k = 1nm −1 ), using the nonlocal continuum theory. The phase and group velocities are derived in a simple way. The effects of wave numbers, scale coefficients and initial stress parameter on phase and group velocity are analyzed. The results show that the dispersion properties of the transverse wave propagation in a single-wall carbon nanotube are induced by small scale effects, which cannot appear in classical models. Also, it is clear that the increase of the scale coefficient and wave number could be strengthened by the dispersion degree of the phase and group velocity of transverse waves. In particular, the analysis shows that the compression initial stress in a single-wall carbon nanotube does not only affect the number of transverse wave speeds and the magnitude of transverse wave speeds, but also the critical value of the wave number at the wave speed changes. The effects of the initial stress and small scale on the transverse wave propagation in single-wall carbon nanotubes may result in some complex dynamic phenomena of terahertz sound waves propagation in the carbon nanotubes, which can be used as a useful reference for the designs of nanodrive devices, nanooscillators and nanosensors.

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Section: Resultsmentioning

confidence: 99%

“…Furthermore, Wang et al [32] used a nonlocal Timoshenko beam model to deal with free vibration of micro-and nanobeams with initial stress. The vibrations of single-and multi-wall carbon nanotubes have been studied by various authors [33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Dispersion of Transverse Waves in Single-Wall Carbon Nanotubes

Selim

2019

Acta Phys. Pol. A

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“…Selim [24,25] has showed how to construct and analyze the propagation of transverse waves in a pre-stressed plate and single-wall carbon nanotube using local and nonlocal scale effects.…”

Section: Introductionmentioning

confidence: 99%

Dispersion relation for transverse waves in pre-stressed irregular single-walled carbon nanotubes

Selim

2020

Phys. Scr.

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This article studies the dispersion relation of transverse waves in an initially stresses single-walled carbon nanotube (SWCNT) with surface irregularity using Flügge shell theory. Taking into account the effects of surface irregularity and initial stresses, propagation of transverse waves is studied and dispersion curves are plotted for optical transverse waves in several figures. The effects of surface irregularity and initial stresses are confirmed by comparing obtained numerical results with those in cases of uniform and initial stress–free SWCNT. Obtained results turn out that, the increase of irregularity parameter increases the phase velocity of transverse waves, while the increase of the initial stress parameter decreases the phase velocity of transverse waves propagating in SWCNTs. To the author best knowledge, effects of surface irregularity and initial stresses on transverse waves propagation, especially propagation in single-walled carbon nanotubes, have not been done before. The previous studies were devoted to the uniform and initial stresses-free carbon nanotubes. It should be emphasized that the transverse waves propagation in pre-stressed and irregular single-walled carbon nanotubes is novel, workable, and at the beginning of the path. İn this manner, understanding the influences of surface irregularity as well as initial stresses on the phase velocity of transverse waves may serve as useful references for the applications and designs of nano oscillators and nanodevices, in which single-walled carbon nanotubes act as the most prevalent nanocomposite structural element.

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“…Tang and Ding [45] presented the non‐linear hygrothermal dynamics of a bi‐directionally functionally graded beam with coupled transverse and longitudinal displacements. The effects of thermoelastic damping on transverse waves propagating in an SWCNT have been investigated by Selim [46]. To the best of the author's knowledge, the effects of the temperature and thickness on the vibration of the SWCNT using thermoelasticity theory neglecting the nanotube length accomplished in previous works, while the experimental researches reveal that the effect of the length of the nanotube is important for vibrational analysis.…”

Section: Introductionmentioning

confidence: 99%

Propagation of longitudinal waves in a single‐walled carbon nanotube under thermoelastic damping

Selim

2020

Micro & Nano Letters

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Effect of Thermo-Elastic Damping on Transverse Waves Propagating in a Single-Wall Carbon Nanotube

Cited by 6 publications

References 33 publications

Dispersion of Transverse Waves in Single-Wall Carbon Nanotubes

Dispersion of Transverse Waves in Single-Wall Carbon Nanotubes

Dispersion relation for transverse waves in pre-stressed irregular single-walled carbon nanotubes

Propagation of longitudinal waves in a single‐walled carbon nanotube under thermoelastic damping

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