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.