Evaluation of Tension, Bending and Twisting Rigidities of Single-Layer Graphene Sheets by an Analytical Asymptotic Homogenization Model

Authors

  • Sobhan Safarian Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
  • Masoud Tahani Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

DOI:

https://doi.org/10.5755/j01.mech.24.2.17822

Keywords:

Asymptotic homogenization method, Mechanical properties, Tension, bending and twisting rigidities, Single-layer graphene sheet.

Abstract

In the present study, the method of asymptotic homogenization is used to estimate elastic properties as well as tension, bending and twisting rigidities of single-layer graphene sheets (SLGSs). To this end, asymptotic homogenization of a reinforced composite is developed for modeling of SLGS by assuming that the covalent bond between carbon atoms can be represented by reinforcements. Applicable formulas are obtained for the elastic properties and rigidities of SLGS directly from the interatomic interactions through three types of potentials. It is proved that force field constants significantly affect the elastic properties of SLGS. Herein, the elastic moduli are obtained based on different types of atomic force constants. The results of the present analytical model are in close agreements with the similar theoretical results and experimental measurements. This approach can be developed to represent mechanical properties of nanotubes, nanocomposites and other nanostructures.

DOI: http://dx.doi.org/10.5755/j01.mech.24.2.17822

Author Biographies

  • Sobhan Safarian, Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
    Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
  • Masoud Tahani, Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
    Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

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Published

2018-05-02

Issue

Vol. 24 No. 2 (2018)

Section

MECHANICS OF SOLID BODIES

License

The copyright for the articles in this journal is retained by the author(s) with the first publication right granted to the journal. The journal is licensed under the Creative Commons Attribution License 4.0 (CC BY 4.0).