This article is cited in 8 papers

Graphenes

Elastic models of defects in two-dimensional crystals

A. L. Kolesnikova^ab, T. S. Orlova^bc, I. Hussainova^d, A. E. Romanov<sup>bc

a</sup> Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
^b St. Petersburg National Research University of Information Technologies, Mechanics and Optics
^c Ioffe Institute, St. Petersburg
^d Tallinn University of Technology, Tallinn, Estonia

Abstract: Elastic models of defects in two-dimensional (2D) crystals are presented in terms of continuum mechanics. The models are based on the classification of defects, which is founded on the dimensionality of the specification region of their self-distortions, i.e., lattice distortions associated with the formation of defects. The elastic field of an infinitesimal dislocation loop in a film is calculated for the first time. The fields of the center of dilatation, dislocation, disclination, and circular inclusion in planar 2D elastic media, namely, nanofilms and graphenes, are considered. Elastic fields of defects in 2D and 3D crystals are compared.

Received: 17.06.2014

 English version: Physics of the Solid State, 2014, 56:12, 2573–2579

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