Elastic properties of solids at high pressure

Yu.Kh. Vekilov, O.M. Krasil’nikov, A.V. Lugovskoy
National University of Science and Technology "MISIS", Leninskii prosp. 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.

Keywords: high pressures, metals, second- and higher-order elastic constants, equation of state, elastic phase transitions
PACS: 61.50.Ks, 62.20.de, 62.50.−p, 64.30.Ef (all)
DOI: 10.3367/UFNe.0185.201511f.1215
URL: https://ufn.ru/en/articles/2015/11/e/
Web of Science

000369654900005
ADS NASA

2015PhyU...58.1106V
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, accepted: 12th, August 2015

Оригинал: Векилов Ю Х, Красильников О М, Луговской А В «Упругие свойства твёрдых тел при высоких давлениях» УФН 185 1215–1224 (2015); DOI: 10.3367/UFNr.0185.201511f.1215

References (49) Cited by (9) Similar articles (20) ↓

Yu.Kh. Vekilov, O.M. Krasil’nikov et al “Elastic phase transitions in metals at high pressures” 57 897–902 (2014)
Yu.Kh. Vekilov, O.M. Krasil’nikov “Structural transformations in metals at high compression ratios” 52 831–834 (2009)
Z.G. Bazhanova, V.V. Roizen, A.R. Oganov “High-pressure behavior of the Fe—S system and composition of the Earth's inner core” 60 1025–1032 (2017)
M.A. Chernikov “Elastic properties of icosahedral and decagonal quasicrystals” 48 411–417 (2005)
A.A. Abrashkin, E.N. Pelinovsky “On the relation between Stokes drift and the Gerstner wave” 61 307–312 (2018)
V.M. Rozenbaum, I.V. Shapochkina, L.I. Trakhtenberg “Green's function method in the theory of Brownian motors” 62 496–509 (2019)
V.S. Pronskikh “Measurement problems: contemporary discussions and models” 63 192–200 (2020)
A.A. Logunov “The theory of the classical gravitational field” 38 179–193 (1995)
A.V. Belinskii “Bell’s theorem without the hypothesis of locality” 37 219–222 (1994)
S.V. Vonsovskii, M.I. Katsnel’son “Single-electron density matrix and the metal-insulator criterion for crystalline solids” 32 720–722 (1989)
A.A. Andronov, Yu.A. Ryzhov “An infinity of the classical theory of fluctuations in a nondegenerate electron gas” 21 873–878 (1978)
A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiation” 58 819–827 (2015)
I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media” 59 141–152 (2016)
I.D. Novikov “Antigravitation in the Universe” 61 692–696 (2018)
A.V. Nedospasov “On an estimate of turbulent transport in a magnetized plasma (to the 90th anniversary of the birth of B.B. Kadomtsev)” 61 1079–1081 (2018)
A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structures” 54 281–290 (2011)
B.A. Klumov “On melting criteria for complex plasma” 53 1053–1065 (2010)
P.S. Landa, D.I. Trubetskov, V.A. Gusev “Delusions versus reality in some physics problems: theory and experiment” 52 235–255 (2009)
V.V. Brazhkin “'Quantum' values of the extrema of 'classical' macroscopic quantities” 66 1154–1163 (2023)
V.V. Mityugov “Thermodynamics of simple quantum systems” 43 631–637 (2000)

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