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Analysis of equations of state and determination of the Grüneisen function for two-dimensional crystal lattices

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Abstract

The method of particle dynamics is used for both analytical and numerical investigation of tensor properties of the Mie–Grüneisen equation of state for two-dimensional solids with crystalline structure. It is demonstrated analytically that the Grüneisen function essentially depends on the ratio between the eigenvalues of the deformation temperature tensor, which, in this work, is determined numerically.

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251, Russia

    A. Yu. Panchenko, E. A. Podolskaya & A. M. Krivtsov

  2. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    A. Yu. Panchenko, E. A. Podolskaya & A. M. Krivtsov

Authors
  1. A. Yu. Panchenko
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  2. E. A. Podolskaya
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  3. A. M. Krivtsov
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Correspondence to A. Yu. Panchenko.

Additional information

Original Russian Text © A.Yu. Panchenko, E.A. Podolskaya, A.M. Krivtsov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 473, No. 2, pp. 159–162.

The article was translated by the authors.

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Panchenko, A.Y., Podolskaya, E.A. & Krivtsov, A.M. Analysis of equations of state and determination of the Grüneisen function for two-dimensional crystal lattices. Dokl. Phys. 62, 141–144 (2017). https://doi.org/10.1134/S1028335817030077

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  • DOI: https://doi.org/10.1134/S1028335817030077

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