Analytical investigation on free vibration of circular double-layer graphene sheets including geometrical defect and surface effects

Allahyari, Ehsan; Fadaee, M.

doi:10.1016/j.compositesb.2015.09.036

Cited by 31 publications

(6 citation statements)

References 20 publications

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“…Thermal vibration of rectangular, circular and annual graphene sheets are studied by Kumar et al [25], Wang and Hu [26], Mohammadi et al [27] and Biswal and Rao [28]. The vibrational properties of multi-layer circular and rectangular graphene sheets are obtained by Kitipornchai et al [29] and Allahyari and Fadaee [30]. Ke et al [31] has modeled the size-effects on vibrational properties of rectangular plates.…”

Section: List Of Important Symbolsmentioning

confidence: 99%

Modal analysis of graphene-based structures for large deformations, contact and material nonlinearities

Ghaffari

Sauer

2018

Journal of Sound and Vibration

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The nonlinear frequencies of pre-stressed graphene-based structures, such as flat graphene sheets and carbon nanotubes, are calculated. These structures are modeled with a nonlinear hyperelastic shell model. The model is calibrated with quantum mechanics data and is valid for high strains. Analytical solutions of the natural frequencies of various plates are obtained for the Canham bending model by assuming infinitesimal strains. These solutions are used for the verification of the numerical results. The performance of the model is illustrated by means of several examples. Modal analysis is performed for square plates under pure dilatation or uniaxial stretch, circular plates under pure dilatation or under the effects of an adhesive substrate, and carbon nanotubes under uniaxial compression or stretch. The adhesive substrate is modeled with van der Waals interaction (based on the Lennard-Jones potential) and a coarse grained contact model. It is shown that the analytical natural frequencies underestimate the real ones, and this should be considered in the design of devices based on graphene structures. 1 identity tensor in R 3 co-variant tangent vectors of ; = 1, 2 co-variant components of the metric tensor of contra-variant components of the metric tensor of contra-variant tangent vectors of ; = 1, 2 0 reference configuration of the manifold current configuration of the manifold co-variant components curvature tensor of (0) logarithmic surface strain (0) dev deviatoric part of the logarithmic strain Γ Christoffel symbols of the second kind mean curvature of surface area change of 1

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Section: List Of Important Symbolsmentioning

confidence: 99%

Modal analysis of graphene-based structures for large deformations, contact and material nonlinearities

Ghaffari

Sauer

2018

Journal of Sound and Vibration

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“…41 The width, length, and thickness of the nanobeam are set as L = 100 nm, b = 10 nm, and h = 5 nm, respectively. The density and falling height of the nanoparticle are taken as ρ0 = 2750 kg/m 3 (see Allahyari and Fadaee 48 ) and H0 = 1 nm, respectively. The atom number densities in the nanobeam and the nanoparticle are Nb = 50 nm −3 and Np = 137 nm −3 , 48,49 respectively.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Dynamic response of a size-dependent nanobeam to low velocity impact by a nanoparticle with considering atomic interaction forces

Noroozi

Ghadiri

Zajkani

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the present paper, low velocity impact response of a size-dependent nanobeam in a thermal field with uniform temperature distribution has been investigated. The van-der Waals interaction force based on description of Lennard–Jonses is considered as the impact force between nanoparticle and nanobeam. According to third-order shear deformation beam theory, the governing equations are obtained using Hamilton's principle based on nonlocal strain-gradient theory. The Galerkin's method was adopted to solve the differential equations of nanobeam with simply supported and clamped boundary conditions. Afterward, the system of time-dependent equations by applying the fourth-order Runge–Kutta method is solved. The parametric study is presented to examine the effect of particle radius, initial velocity, temperature environment, the nonlocal parameter, and the length-scale parameter on the impact response of nanobeam.

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“…The high conductivity and transparency of graphene sheets can be used in the manufacturing of transparent electrodes for touch screens [2] and solar cells [3]. The good conductivity of graphene together with its large surface area could be used in electric batteries [4]. Applications in optoelectronics [5] and photo catalysts [5] have also been proposed.…”

Section: Introductionmentioning

confidence: 99%

Benchmarking the penetration-resistance efficiency of multilayer graphene sheets due to spacing the graphene layers

Sadeghzadeh

2016

Appl. Phys. A

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In this paper, the penetration-resistance efficiency of single-layer and multilayer graphene sheets has been investigated by means of the multiscale approach. The employed multiscale approach has been implemented by establishing a direct correlation between the finite element method and the molecular dynamics approach and validated by comparing its results with those of the existing experimental works. Since by using numerous techniques, a new class of graphene sheets can be fabricated in which the graphene layers are spaced farther apart (more than the usual distance between layers), this paper has concentrated on the optimal spacing between graphene layers with the goal of improving the impact properties of graphene sheets as important candidates for novel impact-resistant panels. For this purpose, the relative protection (protection with respect to weight) values of graphene sheets were obtained, and it was observed that the relative protection of a singlelayer graphene sheet is about 3.64 times that of a 20-layer graphene sheet. This study also showed that a spaced multilayer graphene sheet, with its inter-layer distance being 20 times the usual spacing between ordinary graphene layers, has an impact resistance which is about 20 % higher than that of an ordinary 20-layer graphene sheet. The findings of this paper can be appropriately used in the design and fabrication of future-generation impact-resistant protective panels.

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Analytical investigation on free vibration of circular double-layer graphene sheets including geometrical defect and surface effects

Cited by 31 publications

References 20 publications

Modal analysis of graphene-based structures for large deformations, contact and material nonlinearities

Modal analysis of graphene-based structures for large deformations, contact and material nonlinearities

Dynamic response of a size-dependent nanobeam to low velocity impact by a nanoparticle with considering atomic interaction forces

Benchmarking the penetration-resistance efficiency of multilayer graphene sheets due to spacing the graphene layers

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