The transverse elasticity of bilayer graphene

Scarpa, Fabrizio; Adhikari, Sondipon; Chowdhury, Rajib

doi:10.1016/j.physleta.2010.02.063

Cited by 51 publications

(31 citation statements)

References 32 publications

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“…56 Alternatives to MD simulations include continuum models, 57 simplified structural models based on beam lattices. 58 Amongst the continuum models, nonlocal elasticity theories have been widely used to account for scale effects at the nanoscale. [59][60][61][62] The validity of simplified (homogenized) continuum approaches was investigated in Ref.…”

Section: Mechanical Models Of Graphenementioning

confidence: 99%

Defect Engineering of 2d Monatomic-Layer Materials

et al. 2013

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Atomic-thick monolayer two-dimensional materials present advantageous properties compared to their bulk counterparts. The properties and behavior of these monolayers can be modified by introducing defects, namely defect engineering. In this paper, we review a group of common two-dimensional crystals, including graphene, graphyne, graphdiyne, graphn-yne, silicene, germanene, hexagonal boron nitride monolayers and MoS 2 monolayers, focusing on the effect of the defect engineering on these two-dimensional monolayer materials. Defect engineering leads to the discovery of potentially exotic properties that make the field of two-dimensional crystals fertile for future investigations and emerging technological applications with precisely tailored properties.

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Section: Mechanical Models Of Graphenementioning

confidence: 99%

Defect Engineering of 2d Monatomic-Layer Materials

et al. 2013

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“…Introducing the force constants k r , k τ and k θ , found with either AMBER or linearized Morse-based model, 9,12 into the equations (1), (2) and (3) leads to the equivalent mechanical properties of the beam. The choice of the AMBER model results with: k r = 6.52 · 10 −7 N/nm, k τ = 2.78 · 10 −10 N/(nm · rad 2 ) and k θ = 8.76 · 10 −10 N/(nm · rad 2 ).…”

Section: Physical Properties Of C-c Bonds and Graphene Nanoribbonsmentioning

confidence: 99%

Peridynamics as an analysis tool for wave propagation in graphene nanoribbons

et al. 2015

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The work is devoted to the study on elastic wave propagation in graphene nanoribbons, performed with peridynamics. Graphene nanoribbons have recently gained dramatic increase of interest in the fields of nanoelectronics and nanoelectromechanical systems. They can play a key role as either modern metallic or semiconductor materials, depending on the edge structure, with zigzag or armchair layout, respectively. Moreover, graphene opens new perspectives for the millimeter wave-based measurements systems. The authors present a peridynamic model used as alternative approach to analyze the dynamic behavior of a graphene nanoribbon. The model is considered as a periodic structure, i.e. an assembly of fundamental structural elements, with the first Brillouin zone under study, which undergoes propagation of elastic wave. The commonly applied auxiliary atomistic-continuum model for a C-C bond is used to set equivalent elastic properties, which are applied to find reference dispersion relation via FE model to study the behavior of the peridynamic model. The paper discusses its capability of recovering the physical nature of the reactions at the atomic scale present in a graphene applying dispersion characteristics. The peridynamic model of the graphene nanoribbon results from upscaling process carried out for a small-scale atomic model, making use of reference dispersion curve. The material properties are homogenized over studied domain indirectly by tuning the phase velocity for longitudinal in-plane elastic waves. As shown, nonlocal nature of peridynamics allows to preserve the lengthscale effect, local small-scale inhomogeneity and wave dispersion. Hence, the effect of spatial discretization at nano scale, arising from the distribution of atoms of carbon in the structure of graphene, may be represented with a nonlocal peridynamic model effectively.

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“…A nuclear inelastic scattering of synchrotron radiation measurement [10] of the vibrational DOS of nanocrystalline (6-13 nm) a-Fe with oxide covered surface revealed: (1) Enhanced population of low-energy vibrational modes around 18 meV attributed to vibrational modes of interface atoms, arising from the high fraction of interfacial sites connected with the small crystallite size. (2) A broadening of the DOS peaks at 30-35 meV due to phonon confinement and the stiffening mode.…”

Section: Eels: Dipole Vibrationmentioning

confidence: 99%

EELS and Raman: Nonbond Interactions

Sun

2014

Springer Series in Chemical Physics

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The transverse elasticity of bilayer graphene

Cited by 51 publications

References 32 publications

Defect Engineering of 2d Monatomic-Layer Materials

Defect Engineering of 2d Monatomic-Layer Materials

Peridynamics as an analysis tool for wave propagation in graphene nanoribbons

EELS and Raman: Nonbond Interactions

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