Exact solution for inner displacements of graphene lattice

Journal Article · Tue Oct 27 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4932929· OSTI ID:22492597

Zubko, I. Yu., E-mail: [e-mail] ^[1]

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1. Perm National Research Polytechnic University, Perm, 614990 (Russian Federation)

It is shown that in the frame of lattice statics approach to finding elastic moduli the homogeneous deformation of graphene monolayer transfers it into the non-equilibrium state. It is necessary to shift part of graphene atoms which form one of its “triangular” sublattices with respect to atoms of another sublattice in order to provide the sample minimum potential energy in a deformed state, while each sublattice is deformed homogeneously. Taking into account these inner displacements of graphene lattice allows obtaining more precise estimations of its elastic moduli. The exact expression for the vector of inner displacements depending on applied deformations and specimen size is found.

• OSTI ID: 22492597
• Journal Information: AIP Conference Proceedings, Vol. 1683, Issue 1; Conference: International conference on advanced materials with hierarchical structure for new technologies and reliable structures 2015, Tomsk (Russian Federation), 21-25 Sep 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
DEFORMATION
ELASTICITY
EQUILIBRIUM
EXACT SOLUTIONS
GRAPHENE
POTENTIAL ENERGY
VECTORS