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

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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.

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Authors and Affiliations

  1. The Iby and Aladar Fleischman Faculty of Engineering, School of Mechanical Engineering, Tel Aviv University, 69978, Ramat Aviv, Tel Aviv, Israel

    Igor Berinskii

  2. Department of Theoretical Mechanics, Institute for Applied Mathematics and Mechanics, Peter the Great St. Petersburg Polytechnic University, Politechnicheskaya 29, St. Petersburg, Russia, 195251

    Igor Berinskii

  3. Chair of Engineering Mechanics, Faculty of Mechanical Engineering, Institute of Mechanics, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Holm Altenbach

Authors
  1. Igor Berinskii
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  2. Holm Altenbach
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Correspondence to Igor Berinskii.

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Berinskii, I., Altenbach, H. In-plane and out-of-plane elastic properties of two-dimensional single crystal. Acta Mech 228, 683–691 (2017). https://doi.org/10.1007/s00707-016-1732-0

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  • DOI: https://doi.org/10.1007/s00707-016-1732-0

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