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Nonlinear buckling analysis of double-layered graphene nanoribbons based on molecular mechanics

  • Carbon Letters
  • Abbr : Carbon Lett.
  • 2021, 31(5), pp.895-910
  • DOI : 10.1007/s42823-020-00194-2
  • Publisher : Korean Carbon Society
  • Research Area : Natural Science > Natural Science General > Other Natural Sciences General
  • Received : July 23, 2020
  • Accepted : September 22, 2020
  • Published : October 1, 2021

Namnabat Mohammad Sadegh 1 Barzegar Amin 2 Barchiesi Emilio 3 Javanbakht Mahdi 1

1Isfahan University of Technology
2University of Tehran
3International Research Center M

Accredited

ABSTRACT

Double-layer graphene nanoribbons promise potential application in nanoelectromechanical systems and optoelectronic devices, and knowledge about mechanical stability is a crucial parameter to fourish the application of these materials at the next generation of nanodevices. In this paper, molecular mechanics is utilized to investigate nonlinear buckling behavior, critical buckling stress, and lateral defection of double-layered graphene nanoribbons under various confgurations of stacking mode and chirality. The implicit arc-length iterative method (modifed Riks method) with Ramm’s algorithm is utilized to analyze the nonlinear structural stability problem. The covalent bonds are modeled using three-dimensional beam elements in which elastic moduli are calculated based on molecular structural mechanics technique, and the interlayer van der Waals (vdW) interactions are modeled with nonlinear truss elements. An analytical expression for Young’s modulus of nonlinear truss elements is derived based on the Lennard–Jones potential function and implemented in numerical simulation with a UMAT subroutine based on FORTRAN code to capture the nonlinearity of the vdW interactions during the buckling analysis. The results indicate that the highest critical buckling stress and the minimum lateral defection occur for armchair and zigzag chirality, both with AB stacking mode, respectively. Moreover, the critical buckling stress is found to be directly dependent on the mode shape number regardless of in-phase or anti-phase defection direction of layers. Lateral defection exhibits a similar trend with mode shape in anti-phase mode; however, it is decreasing by increasing mode shape number in in-phase mode.

Citation status

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Total Citation Counts(KCI+WOS) (7) This is the number of times that the duplicate count has been removed by comparing the citation list of WoS and KCI.

Scopus Citation Counts (6) This is the result of checking the information with the same ISSN, publication year, volume, and start page between articles in KCI and the SCOPUS journals. (as of 2024-10-01)

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