A comprehensive continuum model for graphene in the framework of first strain gradient theory

Capture of discrete nature of nanomaterials is central to predict their behavior in high precision. To this end, various augmented continuum theories have been presented. However, their accuracy is strongly dependent on the recognition of accurate values of associated characteristic length scale par...

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Bibliographic Details
Published in:European physical journal plus 2021-07, Vol.136 (7), p.777, Article 777
Main Authors: Mehralian, Fahimeh, Firouzabadi, R. D.
Format: Article
Language:English
Subjects:
Anisotropy
Applied and Technical Physics
Atomic
Boundary conditions
Carbon
Complex Systems
Condensed Matter Physics
Continuum modeling
Crystal structure
Deformation
Elasticity
Graphene
Kinetic energy
Magnetic fields
Mathematical and Computational Physics
Mechanics
Mechanics (physics)
Microelectromechanical systems
Molecular
Nanomaterials
Nanotechnology
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Strain
Tensors
Theoretical
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Summary:Capture of discrete nature of nanomaterials is central to predict their behavior in high precision. To this end, various augmented continuum theories have been presented. However, their accuracy is strongly dependent on the recognition of accurate values of associated characteristic length scale parameter, and many ambiguities and uncertainties still remain about them. As main purpose of this study, the accurate values of elasticity tensor elements in the framework of first strain gradient theory are calculated for graphene with trigonal crystal system. A promising way to achieve them could be through molecular mechanics model. So that, the energy, including strain and kinetic energy, based on first strain gradient theory can be equivalent to that ones on the basis of molecular mechanics model. This successful relation results in addressing the accurate values of elasticity tensor element. In this way, the dynamic and static behaviors of graphene can be accurately investigated.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-021-01722-3