Analysis of equations of state and determination of the Grüneisen function for two-dimensional crystal lattices
- Authors: Panchenko A.Y.1,2, Podolskaya E.A.1,2, Krivtsov A.M.1,2
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Affiliations:
- Peter the Great St. Petersburg Polytechnic University
- Institute for Problems in Mechanical Engineering
- Issue: Vol 62, No 3 (2017)
- Pages: 141-144
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/192216
- DOI: https://doi.org/10.1134/S1028335817030077
- ID: 192216
Cite item
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.
About the authors
A. Yu. Panchenko
Peter the Great St. Petersburg Polytechnic University; Institute for Problems in Mechanical Engineering
Author for correspondence.
Email: artemqt@yandex.ru
Russian Federation, St. Petersburg, 195251; St. Petersburg
E. A. Podolskaya
Peter the Great St. Petersburg Polytechnic University; Institute for Problems in Mechanical Engineering
Email: artemqt@yandex.ru
Russian Federation, St. Petersburg, 195251; St. Petersburg
A. M. Krivtsov
Peter the Great St. Petersburg Polytechnic University; Institute for Problems in Mechanical Engineering
Email: artemqt@yandex.ru
Russian Federation, St. Petersburg, 195251; St. Petersburg
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