Acta Mechanica

, Volume 228, Issue 2, pp 683–691 | Cite as

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

  • Igor BerinskiiEmail author
  • Holm Altenbach
Original Paper


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.


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Copyright information

© Springer-Verlag Wien 2016

Authors and Affiliations

  1. 1.The Iby and Aladar Fleischman Faculty of Engineering, School of Mechanical EngineeringTel Aviv UniversityRamat Aviv, Tel AvivIsrael
  2. 2.Department of Theoretical Mechanics, Institute for Applied Mathematics and MechanicsPeter the Great St. Petersburg Polytechnic UniversitySt. PetersburgRussia
  3. 3.Chair of Engineering Mechanics, Faculty of Mechanical Engineering, Institute of MechanicsOtto-von-Guericke-Universität MagdeburgMagdeburgGermany

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