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

Igor Berinskii, Holm Altenbach

Research output: Contribution to journalArticlepeer-review


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
Issue number2
StatePublished - 1 Feb 2017

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering


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