Strength of graphene in biaxial tension

K. Tuleubekov, K. Y. Volokh, H. Stolarski, S. G. Mogilevskaya

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A simple analytical study of a single-atom-thick sheet of graphene under biaxial tension is presented. It is based on the combination of the approaches of continuum and molecular mechanics. On the molecular level the Tersoff-Brenner potential with a modified cut-off function is used as an example. Transition to a continuum description is achieved by employing the Cauchy–Born rule. In this analysis the graphene sheet is considered as a crystal composed of two simple Bravais lattices and the mutual atomic relaxation between these lattices is taken into account. Following this approach a critical failure surface is produced for strains in biaxial tension. The adopted methodology is discussed in the context of the alternative approaches.

Original languageEnglish (US)
Pages (from-to)291-297
Number of pages7
JournalEuropean Journal of Mechanics, A/Solids
StatePublished - May 1 2013

Bibliographical note

Publisher Copyright:
© 2012 Elsevier Masson SAS

Copyright 2017 Elsevier B.V., All rights reserved.


  • Atomic relaxation
  • Crystal
  • Failure
  • Graphene
  • Strength
  • Tersoff–Brenner potential


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