Vibrational characteristics of bilayer graphene sheets

Chandra, Y.; Chowdhury, Rajib; Scarpa, Fabrizio; Adhikari, Sondipon

doi:10.1016/j.tsf.2011.04.012

Cited by 46 publications

(38 citation statements)

References 36 publications

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“…Over the last few years, the investigation of carbon nano-materials has brought substantial progress, particularly in relation to the understanding of their mechanical [8,12,19,42,44,46,48,49,51,54,62,63] and electrical [15, 24-26, 31, 58, 64, 69] properties. These nano-structures have several applications as nanofillers for the reinforcement of polymer-based composite materials [3,14,16,28].…”

Section: Introductionmentioning

confidence: 99%

“…In order to predict the mechanical behaviour of graphene sheets and carbon nanotubes, several computational techniques have been proposed in the literature [8,40,41,44,[49][50][51]54]. One of these approaches is the finite element method, a technique which has been used successfully in engineering during the last decades and that has recently been used in the analysis of carbon nanostructures by Scarpa et al [8,46,48,49] and Pour et al [43,44], among others.…”

Section: Introductionmentioning

confidence: 99%

“…Scarpa et al [8,9,46,48,49] proposed a numerical model in which the interatomic C-C bonds are replaced by equivalent (deep shear Timoshenko) beams with stretching, bending, torsional and shear deformation properties. These properties are determined by means of an equivalence between structural and molecular mechanics.…”

Section: Introductionmentioning

confidence: 99%

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Buckling of hybrid nanocomposites with embedded graphene and carbon nanotubes

Chandra

Flores

Scarpa

et al. 2016

Physica E: Low-dimensional Systems and Nanostructures

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With the aid of atomistic multiscale modelling and analytical approaches, buckling strength has been determined for carbon nanofibres/epoxy composite systems. Various nanofibers configurations considered are single walled carbon nano tube (SWCNT) and single layer graphene sheet (SLGS) and SLGS/SWCNT hybrid systems. Computationally, both eigen value and non linear large deformation based methods have been employed to calculate the buckling strength. The non-linear computational model generated here takes into account of complex features such as debonding between polymer and filler (delamination under compression), nonlinearity in the polymer, strain based damage criteria for the matrix, contact between fillers and interlocking of distorted filler surfaces with polymer. The effect of bridging nanofibers with an interlinking compound on the buckling strength of nanocomposites has also been presented here. Computed enhancement in buckling strength of the polymer system due to nano reinforcement is found to be in the range of experimental and molecular dynamics based results available in open literature. The findings of this work indicate that carbon based nanofillers enhance the buckling strength of host polymers through various local failure mechanisms.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Buckling of hybrid nanocomposites with embedded graphene and carbon nanotubes

Chandra

Flores

Scarpa

et al. 2016

Physica E: Low-dimensional Systems and Nanostructures

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“…A literature survey shows that the interlayer Young's modulus effects on the mechanical behavior of MLGNRs have been studied using a wide range of experimental and theoretical approaches [5][6][7][8][9][10][11][12][13][14][15], but a few works investigating the interlayer shear modulus effects can be found [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Reddy beam model for free vibration analysis of multilayer nanoribbons incorporating interlayer shear effect

Nazemnezhad

Zare

2016

European Journal of Mechanics - A/Solids

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“…The Newmark's direct integration method was used to handle the nonlinearity in the model. Chandra et al [16] investigated the free vibration characteristics of BLGS using analytical and atomistic finite element method (AFEM) by considering different geometric configurations, boundary conditions and aspect ratio. Li et al [17] analyzed the deformation of SWCNT interacting with a curved bundle of nanotubes by modeling the SWCNT as a straight elastic inextensible beam based on small deformation and assumed the bundle of nanotubes as rigid.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of bi-layered graphene sheet, double-walled carbon nanotube and nanotube bundle

Gajbhiye

Singh

2016

Appl. Phys. A

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Due to strong van der Waals (vdW) interactions, the graphene sheets and nanotubes stick to each other and form clusters of these corresponding nanostructures, viz. bi-layered graphene sheet (BLGS), double-walled carbon nanotube (DWCNT) and nanotube bundle (NB) or ropes. This research work is concerned with the study of nonlinear dynamics of BLGS, DWCNT and NB due to nonlinear interlayer vdW forces using multiscale atomistic finite element method. The energy between two adjacent carbon atoms is represented by the multibody interatomic Tersoff-Brenner potential, whereas the nonlinear interlayer vdW forces are represented by Lennard-Jones 6-12 potential function. The equivalent nonlinear material model of carbon-carbon bond is used to model it based on its force-deflection relation. Newmark's algorithm is used to solve the nonlinear matrix equation governing the motion of the BLGS, DWCNT and NB. An impulse and harmonic excitations are used to excite these nanostructures under cantilevered, bridged and clamped boundary conditions. The frequency responses of these nanostructures are computed, and the dominant resonant frequencies are identified. Along with the forced vibration of these structures, the eigenvalue extraction problem of armchair and zigzag NB is also considered. The natural frequencies and corresponding mode shapes are extracted for the different length and boundary conditions of the nanotube bundle.

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Vibrational characteristics of bilayer graphene sheets

Cited by 46 publications

References 36 publications

Buckling of hybrid nanocomposites with embedded graphene and carbon nanotubes

Buckling of hybrid nanocomposites with embedded graphene and carbon nanotubes

Nonlocal Reddy beam model for free vibration analysis of multilayer nanoribbons incorporating interlayer shear effect

Nonlinear dynamics of bi-layered graphene sheet, double-walled carbon nanotube and nanotube bundle

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