A method for developing the equivalent continuum model of a single layer graphene sheet

Hemmasizadeh, Ali; Mahzoon, Mojtaba; Hadi, Ehsan; Khandan, Rasoul

doi:10.1016/j.tsf.2008.05.040

Cited by 92 publications

(61 citation statements)

References 21 publications

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“…The reason for the difference is still not clear. 1 [66] MM/CM 0.939 -Terdalkar [67] MM (AIREBO) 0.84 -Zheng [16] MD (AIREBO) 0.99 ± 0.04 -Lu [30] MD (REBO) 0.725 0.398 Shen [68] MD (modified AIREBO) 1.025 -Zhang [17] MD (AIREBO) 0.995 -Pei [55] MD ( …”

Section: Mechanical Behavior Of Monolayer Graphene At Small Deformationmentioning

confidence: 99%

Atomistic Studies of Mechanical Properties of Graphene

Cao

2014

Polymers

174

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Recent progress of simulations/modeling at the atomic level has led to a better understanding of the mechanical behaviors of graphene, which include the linear elastic modulus E, the nonlinear elastic modulus D, the Poisson's ratio ν, the intrinsic strength σ int and the corresponding strain ε int as well as the ultimate strain ε max (the fracture strain beyond which the graphene lattice will be unstable). Due to the two-dimensional geometric characteristic, the in-plane tensile response and the free-standing indentation response of graphene are the focal points in this review. The studies are based on multiscale levels: including quantum mechanical and classical molecular dynamics simulations, and parallel continuum models. The numerical studies offer useful links between scientific research with engineering application, which may help to fulfill graphene potential applications such as nano sensors, nanotransistors, and other nanodevices.

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Section: Mechanical Behavior Of Monolayer Graphene At Small Deformationmentioning

confidence: 99%

Atomistic Studies of Mechanical Properties of Graphene

Cao

2014

Polymers

174

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“…The graphene drumhead has a thickness of 1.317 Å, a Young's modulus of 1 TPa and a Poisson's ratio of 0.19 [25]. The outer edge of the circular graphene drumhead is fixed.…”

Section: Iv2 Dependence Of the Pseudomagnetic Field On Graphene Memmentioning

confidence: 99%

Pseudomagnetic fields in a locally strained graphene drumhead

et al. 2014

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Abstract:Recent experiments reveal that a scanning tunneling microscopy (STM) probe tip can generate a highly localized strain field in a graphene drumhead, which in turn leads to pseudomagnetic fields in the graphene that can spatially confine graphene charge carriers in a way similar to a lithographically defined quantum dot (QD). While these experimental findings are intriguing, their further implementation in nanoelectronic devices hinges upon the knowledge of key underpinning parameters, which still remain elusive. In this paper, we first summarize the experimental measurements of the deformation of graphene membranes due to interactions with the STM probe tip and a back gate electrode. We then carry out systematic coarse grained, (CG), simulations to offer a mechanistic interpretation of STM tip-induced straining of the graphene drumhead. Our findings reveal the effect of (i) the position of the STM probe tip relative to the graphene drumhead center, (ii) the sizes of both the STM probe tip and graphene drumhead, as well as (iii) the applied back-gate voltage, on the induced strain field and corresponding pseudomagnetic field. These results can offer quantitative guidance for future design and implementation of reversible and on-demand formation of graphene QDs in nanoelectronics.

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“…The out-of-plane deformation of SLGS has been considered using the continuum mechanics models [13,22], together with continuum and truss-like structural assemblies [23][24][25][26][27][28][29][30]. In a recent paper a nonlinear mechanical model has been used [31] to take account for large deformations in SLGS.…”

Section: Introductionmentioning

confidence: 99%

Transverse vibration of single-layer graphene sheets

Chowdhury¹,

Adhikari²,

Scarpa³

et al. 2011

J. Phys. D: Appl. Phys.

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We investigate the vibrational properties of zigzag and armchair single-layer graphene sheets (SLGSs) using the molecular mechanics (MM) approach. The natural frequencies of vibration and their associated intrinsic vibration modes are obtained. Vibrational analysis is performed with different chirality and boundary conditions. The simulations are carried out for three types of zigzag and armchair SLGS. The universal force field potential is used for the MM approach. The first four natural frequencies are obtained for increasing lengths. The results indicate that the natural frequencies decrease as the length increases. The results follow similar trends with results of previous studies for SLGS using a continuum structural mechanics approach. These results have shown the applicability of SLGSs as electromechanical resonators.

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A method for developing the equivalent continuum model of a single layer graphene sheet

Cited by 92 publications

References 21 publications

Atomistic Studies of Mechanical Properties of Graphene

Atomistic Studies of Mechanical Properties of Graphene

Pseudomagnetic fields in a locally strained graphene drumhead

Transverse vibration of single-layer graphene sheets

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