This article is cited in 11 papers

METHODOLOGICAL NOTES

Elastic properties of solids at high pressure

Yu. Kh. Vekilov, O. M. Krasilnikov, A. V. Lugovskoy

National University of Science and Technology `MISIS'

Abstract: This review examines the elastic response of solids under load. The definitions of isothermal and adiabatic elastic constants of ($n\ge2$) for a loaded crystal are 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.

Keywords: high pressure, metals, second- and higher-order elastic constants, equation of state, elastic phase transition.

PACS: 61.50.Ks, 62.20.de, 62.50.-p, 64.30.Ef

Received: April 9, 2015
Revised: August 11, 2015
Accepted: August 12, 2015

DOI: 10.3367/UFNr.0185.201511f.1215

 English version: Physics–Uspekhi, 2015, 58:11, 1106–1114

Bibliographic databases:

• 
• 
•