Abstract
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 language | English (US) |
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Pages (from-to) | 291-297 |
Number of pages | 7 |
Journal | European Journal of Mechanics, A/Solids |
Volume | 39 |
DOIs | |
State | Published - May 1 2013 |
Bibliographical note
Publisher Copyright:© 2012 Elsevier Masson SAS
Keywords
- Atomic relaxation
- Crystal
- Failure
- Graphene
- Strength
- Tersoff–Brenner potential