Influence of internal shifts on the elastic grafene monolayer modules in discrete atomistic approach

Elastic modules of finite sized graphene monolayers have been computing in nonsymmetrical statement using lattice statics approach. The kinematics of graphene deformation is under the hard control and the material response is computing using Mie’s family potentials of atoms interaction. The coincidence criterion of the experimentally determined Poisson ratio with the estimated value is taken in order to identify non-dimensional parameters of the potential. Graphene monolayer elastic properties are determined for small deformations using the obtained potential parameters. It is showed that homogeneous deformation of graphene monolayer transfers it into the non equilibrium state. It is necessary to impose inner displacements to shift part of graphene atoms which form one of its “triangular” sublattices with respect to another sublattice in order to provide the sample minimum potential energy in the deformed state; while each sublattice is deformed homogeneously. At low temperatures the tensor of elastic moduli is obtained to be symmetrical.