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A continuum model of a multilayer nanosheet

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Abstract

A continuum model for describing the bending and free vibrations of a crystalline graphite sheet consisting of graphene layers is proposed. Graphene is modeled by a two-dimensional layer having a finite rigidity under extension and bending. The interval between graphene layers through which their Van-der-Waals interaction occurs is modeled by a fictitious layer with relatively low rigidity. In the solution, formulas describing the bending of a multilayer sheet with alternating rigid and soft layers are used.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, 199164, Russia

    N. F. Morozov & P. E. Tovstik

  2. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia

    T. P. Tovstik

Authors
  1. N. F. Morozov
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  2. P. E. Tovstik
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  3. T. P. Tovstik
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Corresponding author

Correspondence to T. P. Tovstik.

Additional information

Original Russian Text © N.F. Morozov, P.E. Tovstik, T.P. Tovstik, 2016, published in Doklady Akademii Nauk, 2016, Vol. 471, No. 3, pp. 294–298.

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Morozov, N.F., Tovstik, P.E. & Tovstik, T.P. A continuum model of a multilayer nanosheet. Dokl. Phys. 61, 567–570 (2016). https://doi.org/10.1134/S1028335816110112

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  • DOI: https://doi.org/10.1134/S1028335816110112

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