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Title: Exact solution for inner displacements of graphene lattice

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.
Authors:
 [1]
  1. Perm National Research Polytechnic University, Perm, 614990 (Russian Federation)
Publication Date:
OSTI Identifier:
22492597
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1683; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; DEFORMATION; ELASTICITY; EQUILIBRIUM; EXACT SOLUTIONS; GRAPHENE; POTENTIAL ENERGY; VECTORS