Methodological notes

Elastic properties of solids at high pressure

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National University of Science and Technology "MISIS", Leninskiiprosp. 4, Moscow, 119049, Russian Federation

This review examines the elastic response of solids under load. The definition of isothermal and adiabatic elastic constants of nth order (n ⩾ 2) for the loaded crystal is given. For the case of hydrostatic pressure, two techniques are proposed for calculating the second-, third- and fourth-order elastic constants from the energy—strain and stress—strain relations. As an example, using the proposed approach within the framework of the density functional theory, the second- to fourth-order elastic constants of bcc tungsten are calculated for the pressure range of 0—600 GPa.

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Keywords: high pressures, metals, second- and higher-order elastic constants, equation of state, elastic phase transitions
PACS: 61.50.Ks,, 62.50.−p, 64.30.Ef (all)
DOI: 10.3367/UFNe.0185.201511f.1215
Citation: Vekilov Yu Kh, Krasil’nikov O M, Lugovskoy A V "Elastic properties of solids at high pressure" Phys. Usp. 58 1106–1114 (2015)
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Received: 9th, April 2015, revised: 11th, August 2015, 12th, August 2015

:   ,   ,    « » 185 1215–1224 (2015); DOI: 10.3367/UFNr.0185.201511f.1215

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