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I.E. Berinskii and A.M. Krivtsov, "On Using Many-Particle Interatomic Potentials to Compute Elastic Properties of Graphene and Diamond," Mech. Solids. 45 (6), 815-834 (2010)
Year 2010 Volume 45 Number 6 Pages 815-834
DOI 10.3103/S0025654410060063
Title On Using Many-Particle Interatomic Potentials to Compute Elastic Properties of Graphene and Diamond
Author(s) I.E. Berinskii (Saint-Petersburg State Polytechnical University, Polytekhnicheskaya 29, St. Petersburg, 195251 Russia, iberinsk@gmail.ru)
A.M. Krivtsov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, V.O., St. Petersburg, 199178 Russia, krivtsov@nm.ru)
Abstract The elastic properties of diatomic crystals are considered. An approach is proposed that permits calculating the elastic characteristics of crystals by using the interatomic interaction parameters specified as many-particle potentials, i.e., potentials that take into account the effect of the environment on the diatomic interaction. The many-particle interaction is given in the general form obtained in the framework of linear elastic deformation. It is shown that, by expanding in series in small deformation parameters, a group of nonlinear potentials frequently used to model covalent structures can be reduced to this general form. An example of graphene and diamond lattices is used to determine how adequately these potentials describe the elastic characteristics of crystals.
Keywords graphene, diamond, nanoanalysis, elastic properties, mechanics of crystal lattices, interaction potential
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Received 30 March 2010
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