In-plane and out-of-plane elastic properties of two-dimensional single crystal

Igor Berinskii*, Holm Altenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

This work is devoted to elastic properties of two-dimensional materials. A triangular crystal lattice was considered as an example of the two-dimensional structure. In-plane elastic properties of such a lattice with Lennard–Jones interaction among the particles were investigated as the functions of the curvature radius in three-dimensional space. It was shown that torque interaction between the particles taken into account in addition to the classical force interaction adds nonzero bending rigidity to the lattice. This bending rigidity was obtained as a function of the parameters of the interatomic bond stiffness. Dependence of bending rigidity on crystal lattice curvature was investigated.

Original languageEnglish
Pages (from-to)683-691
Number of pages9
JournalActa Mechanica
Volume228
Issue number2
DOIs
StatePublished - 1 Feb 2017

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