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.

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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