Prediction of in-plane elastic properties of graphene in the framework of first strain gradient theory

In the present study, the in-plane elastic stiffness coefficients of graphene within the framework of first strain gradient theory are calculated on the basis of an accurate molecular mechanics model. To this end, a Wigner–Seitz primitive cell is adopted. Additionally, the first strain gradient theo...

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Bibliographic Details
Published inMeccanica (Milan) Vol. 54; no. 1-2; pp. 299 - 310
Main Authors Hassanpour, Saba, Mehralian, Fahimeh, Firouz-Abadi, R. D., Borhan-Panah, M. R., Rahmanian, Mohammad
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.01.2019
Springer Nature B.V
Subjects
Automotive Engineering
Civil Engineering
Classical Mechanics
Elastic properties
Free vibration
Graphene
Mathematical models
Mechanical Engineering
Mechanical properties
Mechanics (physics)
Physics
Physics and Astronomy
Stiffness coefficients
Strain
Unit cell
First strain gradient theory
In-plane free vibration
Elastic stiffness coefficients
Graphene
Molecular mechanics model
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Summary:In the present study, the in-plane elastic stiffness coefficients of graphene within the framework of first strain gradient theory are calculated on the basis of an accurate molecular mechanics model. To this end, a Wigner–Seitz primitive cell is adopted. Additionally, the first strain gradient theory for graphene with trigonal crystal system is formulated and the relation between elastic stiffness coefficients and molecular mechanics parameters are calculated. Thus, the ongoing research challenge on providing the accurate mechanical properties of graphene is addressed herein. Using results obtained, the in-plane free vibration of graphene is studied and a detailed numerical investigation is implemented.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-019-00947-y