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

Hassanpour, S ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1007/s11012-019-00947-y
  3. Publisher: Springer Netherlands , 2019
  4. Abstract:
  5. 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. © 2019, Springer Nature B.V
  6. Keywords:
  7. First strain gradient theory ; In-plane free vibration ; Molecular mechanics model ; Elasticity ; Molecular mechanics ; Stiffness ; Elastic stiffness coefficients ; Free vibration ; Molecular mechanics parameters ; Numerical investigations ; Plane elastic properties ; Research challenges ; Strain gradient theory ; Trigonal crystals ; Graphene
  8. Source: Meccanica ; Volume 54, Issue 1-2 , 2019 , Pages 299-310 ; 00256455 (ISSN)
  9. URL: https://link.springer.com/article/10.1007%2Fs11012-019-00947-y