Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials
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Comparative analysis of results of numerical modeling of mechanical behavior of graphene and silicene in the frames of common harmonic field

M.A. Zhuravkov, Yu.E. Nagorny, D.N. Politaev

Belarusian State University

DOI: 10.26456/pcascnn/2020.12.415

Original article

Abstract: The article presents the results of application of the general harmonic field model for numerical modeling of mechanical properties of samples of graphene and silicene nanostructures similar in geometric form. A calculation of the stiffness coefficients of the elements for this model was made based on the stiffness of a pair of basic ones through the natural frequencies of oscillations of three-node fragments. Dependencies of elastic modules on linear dimensions for examined samples are given. In both cases, there is an increase in the modulus of longitudinal elasticity with an increase in asymptote with an increase in the length of the sample and a very weak dependence on its width. The coefficient of transverse strain decreases as the width increases. Increasing the length gives graphene an increase in this indicator, and in silicene – its decrease.

Keywords: general harmonic field, graphene, silicene, elastic coefficients, natural frequencies of oscillations, Young's modulus, Poisson's coefficient

  • Mikhail A. Zhuravkov – Dr. Sc., Professor, Head of Theoretical and Applied Mechanics Department Belarusian State University
  • Yuri E. Nagorny – Senior Lecturer, Department of Bio- and Nanomechanics Belarusian State University
  • Dmitrii N. Politaev – Senior Lecturer, Department of Web Technology and Computing Modeling Belarusian State University

Reference:

Zhuravkov, M.A. Comparative analysis of results of numerical modeling of mechanical behavior of graphene and silicene in the frames of common harmonic field / M.A. Zhuravkov, Yu.E. Nagorny, D.N. Politaev // Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials. – Tver: TSU, 2020. — I. 12. — P. 415-423. DOI: 10.26456/pcascnn/2020.12.415. (In Russian).

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