Elastic properties of solids at high pressure

© 2015 Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences.This review examines the elastic response of solids under load. The definitions of isothermal and adiabatic elastic constants of nth order (n=2) for a loaded crystal are given. For the case of hydrostatic pressure, two techniques are prop...

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Bibliographic Details
Main Authors: Vekilov, Y., Krasilnikov, O., Lugovskoy, Andrey
Format: Journal Article
Published: Turpion Ltd 2015
Online Access:http://iopscience.iop.org/article/10.3367/UFNe.0185.201511f.1215/pdf
http://hdl.handle.net/20.500.11937/8210
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Summary:© 2015 Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences.This review examines the elastic response of solids under load. The definitions of isothermal and adiabatic elastic constants of nth order (n=2) 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 frame- work 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.