2017
DOI: 10.3390/app7080830
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Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics

Abstract: This paper reviews a few problems where continuous-medium theory specialized to two-dimensional media provides a qualitatively correct picture of the mechanical behavior of graphene. A critical analysis of the parameters involved is given. Among other results, a simple mathematical description of a folded graphene sheet is proposed. It is also shown how the graphene-graphene adhesion interaction is related to the cleavage energy of graphite and its C 33 bulk elastic constant.

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Cited by 3 publications
(2 citation statements)
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References 56 publications
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“…Since the chemical conditions for the synthesis of the PyC films of different thicknesses were equivalent, the difference in the positions of the peaks caused by surface functionalization, which could occur during the synthesis process, was not expected. Following the theoretical estimations [ 41 ], peak displacement is most likely a result of mechanical stresses. Such a conclusion is supported by the fact that there was no shift in the position of the G-mode in the Raman spectrum of the PyC deposited onto SiO 2 and bSi.…”
Section: Resultsmentioning
confidence: 99%
“…Since the chemical conditions for the synthesis of the PyC films of different thicknesses were equivalent, the difference in the positions of the peaks caused by surface functionalization, which could occur during the synthesis process, was not expected. Following the theoretical estimations [ 41 ], peak displacement is most likely a result of mechanical stresses. Such a conclusion is supported by the fact that there was no shift in the position of the G-mode in the Raman spectrum of the PyC deposited onto SiO 2 and bSi.…”
Section: Resultsmentioning
confidence: 99%
“…45 Thus, it is expected that graphene will tend to bend or wrinkle rather easily in order to relieve in-plane compression. [143][144][145] The interaction between the graphene layer and its supporting surface, namely the graphene-substrate adhesion, is therefore an extremely important parameter governing the graphene response to biaxial compression: if the graphene-substrate adhesion is poor, the graphene will not fully follow the substrate's deformation and instead will slide or wrinkle to reduce its stress. However, the adhesion of graphene to its substrate is an intricate mixture of (a) the interaction energy between carbon and surface atoms, (b) substrate surface roughness, (c) graphene number of layers, (d) commensurability of the graphene and substrate lattices, and (e) the normal force from the PTM, which must modify the effects of (a) to (d).…”
Section: Role Of the Substratementioning
confidence: 99%