On the isotropic elastic properties of graphene crystal lattice

Berinskii, Igor E. and Borodich, Feodor M. ORCID: https://orcid.org/0000-0002-7935-0956 2013. On the isotropic elastic properties of graphene crystal lattice. Surface Effects in Solid Mechanics 30 , pp. 33-42. 10.1007/978-3-642-35783-1_3

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Abstract

Graphene is a monolayer of carbon atoms packed into a two-dimensional honeycomb lattice. This allotrope can be considered as mother of all graphitic forms of carbon. The elastic in-plane properties of graphene are studied. Nowadays graphene often is simulated as a two-dimensional elastic continuum. It is shown in this work that if this continuum has the same symmetric properties as graphene crystal, then the continuum is isotropic while the small deformations are considered. A simple and mathematically rigorous proof of this statement is given. The proof is based on the orthogonal transformation of the coordinates of the continual stress and strain tensors and comparison of the elastic tensor components before and after transformation.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	Springer
ISSN:	1869-8433
Last Modified:	24 Oct 2022 10:46
URI:	https://orca.cardiff.ac.uk/id/eprint/45797

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