# Elastic properties of solids at high pressure

• Vekilov, Yu Kh
• Krasilnikov, O M
• Lugovskoy, A V
Abstract:
This review examines the elastic response of solids under load. The definitions of isothermal and adiabatic elastic constants of ( ##IMG## [http://ej.iop.org/images/1063-7869/58/11/1106/tex_pu_8294_img1.gif] {\$ 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.
Year:
2015
Type of Publication:
Article
Journal:
Physics-Uspekhi
Volume:
58
Number:
11
Pages:
1106