Calibration of nonlocal strain gradient shell model for vibration analysis of a CNT conveying viscous fluid using molecular dynamics simulation

Mohammadi, Kianoosh; Rajabpour, Ali; Ghadiri, Majid

doi:10.1016/j.commatsci.2018.02.036

Cited by 46 publications

(15 citation statements)

References 53 publications

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“…The slip boundary theory is one of the popular theories used to study the dynamic behaviors of microand nanofluids since in some researchers' opinion, the fluid sliding effect leads to main influence at nano-and microscale. [30][31][32][33][34][35][36][37] However, the slip boundary condition is not appropriate for liquids because the free path for a liquid molecule is too small to calculate. 2 Therefore, we apply nonlocal fluid theory to investigate small-scale effects induced by the microfluids in the channels.…”

Section: ∂Q ∂Xmentioning

confidence: 99%

Study on the small-scale effect on wave propagation characteristics of fluid-filled carbon nanotubes based on nonlocal fluid theory

Yang

Wang

2019

Advances in Mechanical Engineering

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In this article, Timoshenko's beam model is established to investigate the wave propagation behaviors for a fluidconveying carbon nanotube when employing the nonlocal stress-strain gradient coupled theory and nonlocal fluid theory. The governing equations of motion for the carbon nanotube are derived. The small-scale influences induced by the nanotube are simulated by nonlocal and strain gradient effects, and the scale effect induced by fluid flow is first investigated applying nonlocal fluid theory. Numerical results obtained by solving the governing equations indicate that the nonlocal effect induced by the nanotube leads to wave damping and a decrease in stiffness, while the strain gradient effect contributes to wave promotion and an enhancement in stiffness. The scale effect caused by the inner fluid only leads to a decay for a high-mode wave since there is no influence from fluid flow on the low-mode wave. The numerical solution is validated by comparing with Monte Carlo simulation and interval analysis method.

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Section: ∂Q ∂Xmentioning

confidence: 99%

Study on the small-scale effect on wave propagation characteristics of fluid-filled carbon nanotubes based on nonlocal fluid theory

Yang

Wang

2019

Advances in Mechanical Engineering

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“…In general, the nonlocal and strain gradient parameters are obtained from experimental data or the results of molecular dynamics (MD). In the literature, MD simulations were performed to determine these scale parameters for both nanotubes and fluid-conveying nanotubes (Mohammadi et al, 2018;Mehralian et al, 2017a;Mehralian et al, 2017b). The values of nonlocal and strain gradient parameters, which are taken in the present paper, are in the recommended range obtained by MD simulations.…”

Section: A Nsgt-based Modellingmentioning

confidence: 99%

A nonlinear viscoelastic model for NSGT nanotubes conveying fluid incorporating slip boundary conditions

Farajpour

Farokhi²,

Ghayesh

2019

Journal of Vibration and Control

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A nonlinear viscoelastic model is developed for the dynamics of nanotubes conveying fluid. The influences of strain gradients and stress nonlocality are incorporated via a nonlocal strain gradient theory (NSGT). Since at nanoscales, the assumptions of no-slip boundary conditions are not valid, the Beskok-Karniadakis theory is used to overcome this problem. The coupled nonlinear differential equations are derived via performing an energy/work balance. The derived equations along the transverse and axial axes are simultaneously solved to obtain the nonlinear frequency response. For this purpose, Galerkin's technique together with a continuation method are utilised. The frequency response is investigated in both subcritical and supercritical flow regimes.

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“…Li L et al applied this new model to study the vibration behavior for fluid-filled nanotubes, while more exact results were obtained than other numerical simulation methods [22][23][24]. Zeighampour et al established beam and shell models based on Lim's theory [18] to investigate dynamic properties of double-walled fluid-conveying carbon nanotubes; while the slip boundary theory is employed to analyze the critical fluid velocity [25][26][27][28][29][30]. However, most of the numerical results obtained by these slip boundary models are not satisfactory, since the slip boundary condition is inappropriate for nano-or microscale liquid.…”

Section: Introductionmentioning

confidence: 99%

“…However, most of the numerical results obtained by these slip boundary models are not satisfactory, since the slip boundary condition is inappropriate for nano-or microscale liquid. To overcome this shortcomings, the authors simulated the nanoscale effects induced by fluid flow based on nonlocal fluid dynamics [17], while the dynamic nonlocal strain gradient beam models for fluid-conveying CNTs were developed [28,29]. It was found the dynamic performances of fluid-conveying CNTs predicted by the new nonlocal fluid dynamic models agreed more closely with Monte Carlo simulation results than other continuum models, including slip boundary models [31,32].…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric Wave Propagation Behavior in Fluid-Conveying Carbon Nanotubes Based on Nonlocal Fluid Dynamics and Nonlocal Strain Gradient Theory

Yang

Lin

Guo

2020

J. Vib. Eng. Technol.

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Purpose Goal for the present research is investigating the axisymmetric wave propagation behaviors of fluid-filled carbon nanotubes (CNTs) with low slenderness ratios when the nanoscale effects contributed by CNT and fluid flow are considered together. Method An elastic shell model for fluid-conveying CNTs is established based on theory of nonlocal elasticity and nonlocal fluid dynamics. The effects of stress non-locality and strain gradient at nanoscale are simulated by applying nonlocal stress and strain gradient theories to CNTs and nonlocal fluid dynamics to fluid flow inside the CNTs, respectively. The equilibrium equations of axisymmetric wave motion in fluid-conveying CNTs are derived. By solving the governing equations, the relationships between wave frequency and all small-scale parameters, as well as the effects caused by fluid flow on different wave modes, are analyzed. Results The numerical simulation indicates that nonlocal stress effects damp first-mode waves but promote propagation of second-mode waves. The strain gradient effect promotes propagation of first-mode waves but has no influence on second-mode waves. The nonlocal fluid effect only causes damping of second-mode waves and has no influence on first-mode waves. Damping caused by nonlocal effects are most affect on waves with short wavelength, and the effect induced by strain gradient almost promotes the propagation of wave with all wavelengths.

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Calibration of nonlocal strain gradient shell model for vibration analysis of a CNT conveying viscous fluid using molecular dynamics simulation

Cited by 46 publications

References 53 publications

Study on the small-scale effect on wave propagation characteristics of fluid-filled carbon nanotubes based on nonlocal fluid theory

Study on the small-scale effect on wave propagation characteristics of fluid-filled carbon nanotubes based on nonlocal fluid theory

A nonlinear viscoelastic model for NSGT nanotubes conveying fluid incorporating slip boundary conditions

Axisymmetric Wave Propagation Behavior in Fluid-Conveying Carbon Nanotubes Based on Nonlocal Fluid Dynamics and Nonlocal Strain Gradient Theory

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