A Universal Equation of State for Fluids and Solids at Shock Pressures

  • F. E. Prieto
  • C. Renero


The present paper is a summary review of the authors’ work on a universal reduced variables formulation of the thermodynamics of very high pressures. It is important to mention that one of the most interesting results of this formalism is an explicit analytic form of the equation of State for shock-compressed matter; this equation seems to be universal in the sense that it is valid for any material and independent of the initial phase. Our earliest papers on this subject were published about seven years ago [1,2] but the main results obtained during the last three years include a law of corresponding states [3], an equation of State for solids [4–6], and an extension of this equation of State to fluids [7,8]. This chronological approach will not be followed here. Instead, only the most important results as well as those unanswered questions and unresolved problems encountered within the formalism will be mentioned. This Situation is a consequence of the manner in which the formalism was developed. The main task was first to look for an equation of State of solids; when this equation was obtained, there were already some unresolved problems, but it was necessary to test the universal validity of the equation. Afterwards, efforts were concentrated in extending the validity of the equation to liquids and gases; the number of unresolved problems increased accordingly.


Shock Compression Shock Pressure Unresolved Problem Universal Equation Universal Validity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    F. E. Prieto and C. Renero, J. Appl. Phys. 41, 3876 (1970).CrossRefGoogle Scholar
  2. 2.
    F. E. Prieto and C. Renero, J. Appl. Phys. 42, 296 (1971).CrossRefGoogle Scholar
  3. 3.
    F. E. Prieto, J. Phys. Chem. Solids 35, 279 (1974).CrossRefGoogle Scholar
  4. 4.
    F. E. Prieto and C. Renero, Compt. Rend. B 279, 601 (1974).Google Scholar
  5. 5.
    F. E. Prieto and C. Renero, J. Phys. Chem. Solids 37, 151 (1976).CrossRefGoogle Scholar
  6. 6.
    F. E. Prieto and C. Renero, in Peaceful Nuclear Explosions, Vol. 4, IAEA Symposium Series, Vienna, Austria (1975).Google Scholar
  7. 7.
    F. E. Prieto, C. Renero, and A. Mondragon, in Peaceful Nuclear Explosions, Vol. 5, IAEA Symposium Series, Vienna, Austria (1976), in press.Google Scholar
  8. 8.
    F. L. Yarger, F. E. Prieto, and C. Renero, Paper H-6-C given at 6th AIRAPT Intern. High Pressure Conference, University of Colorado, Boulder, Colorado, July 25–29, 1977.Google Scholar
  9. 9.
    M. Van Thiel, ed., Compendium of Shock Wave Data, U.S. Atomic Energy Commission (1966).Google Scholar
  10. 10.
    F. E. Prieto and C. Renero, Sei. et Techn. de l’Armement, (France) 49, 325 (1975).Google Scholar
  11. 11.
    R. J. Dick, J. Chem. Phys. 52, 602 (1970).CrossRefGoogle Scholar
  12. 12.
    B. C. Craig, Los Alamos Scientific Laboratory Rept. 6 MX-8-Mr- 62. 4 (1962).Google Scholar
  13. 13.
    W. B. Garn, J. Chem. Phys. 30, 819 (1959).CrossRefGoogle Scholar
  14. 14.
    R. H. Christian, and F. L. Yarger, J. Chem. Phys. 23, 2042 (1955).CrossRefGoogle Scholar
  15. 15.
    R. H. Christian, R. E. Duff, and F. L. Yarger, J. Chem. Phys. 23., 2045 (1955).Google Scholar
  16. 16.
    W. E. Deal, J. Appl. Phys. 28, 782 (1957).CrossRefGoogle Scholar
  17. 17.
    S. B. Kormer, M. V. Sinitsyn, G. A. Kirilov, and V. D. Urlin, Soviet Physics JETP 21, 689 (1965).Google Scholar
  18. 18.
    P. W. Bridgman, Phys. Rev. 60, 351 (1941).CrossRefGoogle Scholar
  19. 19.
    F. E. Prieto and C. Renero, Paper presented at 5th Symposium on Combustion Processes, Krakow, Poland (1977).Google Scholar

Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • F. E. Prieto
    • 1
  • C. Renero
    • 2
  1. 1.Instituto Nacional de Energía Nuclear, MéxicoMexico CityMexico
  2. 2.Universidad Nacional de MéxicoMexico CityMexico

Personalised recommendations