Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics

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...

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Main Author: Philippe Lambin
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/7/8/830
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author Philippe Lambin
author_facet Philippe Lambin
author_sort Philippe Lambin
collection DOAJ
description 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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spelling doaj.art-0b75e9b090ec484fbe7a65344d6bbb152022-12-21T18:44:57ZengMDPI AGApplied Sciences2076-34172017-08-017883010.3390/app7080830app7080830Graphene as a Prototypical Model for Two-Dimensional Continuous MechanicsPhilippe Lambin0Physics Department, University of Namur, 61 Rue de Bruxelles, B-5000 Namur, BelgiumThis 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.https://www.mdpi.com/2076-3417/7/8/830graphiteelasticityelastic constantsVan der Waals adhesion
spellingShingle Philippe Lambin
Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics
Applied Sciences
graphite
elasticity
elastic constants
Van der Waals adhesion
title Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics
title_full Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics
title_fullStr Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics
title_full_unstemmed Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics
title_short Graphene as a Prototypical Model for Two-Dimensional Continuous Mechanics
title_sort graphene as a prototypical model for two dimensional continuous mechanics
topic graphite
elasticity
elastic constants
Van der Waals adhesion
url https://www.mdpi.com/2076-3417/7/8/830
work_keys_str_mv AT philippelambin grapheneasaprototypicalmodelfortwodimensionalcontinuousmechanics