Issues

 / 

2015

 / 

November

  

Methodological notes


Elastic properties of solids at high pressure

, ,
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.

Fulltext pdf (553 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201511f.1215
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/
000369654900005
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 9th, April 2015, revised: 11th, August 2015, 12th, August 2015

Îðèãèíàë: Âåêèëîâ Þ Õ, Êðàñèëüíèêîâ Î Ì, Ëóãîâñêîé À Â «Óïðóãèå ñâîéñòâà òâ¸ðäûõ òåë ïðè âûñîêèõ äàâëåíèÿõ» ÓÔÍ 185 1215–1224 (2015); DOI: 10.3367/UFNr.0185.201511f.1215

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

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

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions