Abstract
Metals (Al, Fe, Cu, Pb), polyethylene, and other plastic materials with a density of about 1 g/cm3 are commonly used as liners and screens in solving dynamic-compression problems that involve phase transitions. In this paper, the equations of state are presented in the form of formulas, graphs, and tables for the pressurep and energyE as functions of temperatureT and density ρ. These equations have a meaningful theoretical form and are based on the measured initial sound velocityc 0, densityρ 0, Gruneisen parameter Γ, heat capacityc p, sublimation energyU evp, and the known pressure dependence of the compression modulus ϱK/ϱp. These equations of state are in satisfactory agreement with available experimental data on shock compression. According to the same scheme, the equations of state are derived for carbon and boron nitride. However, in this case, the situation turned out to be much more complicated due to the existence of phase transitions from the hexagonal form into wurtzite and cubic forms. In deriving the equation of state, the equilibrium curve between the graphite-like and diamond phases on the phase diagram was additionally used. As a result of realization of the aforementioned scheme, the equations of state obtained (i.e., formulas, graphs, and tables) are in satisfactory agreement with experimental data.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Ya. B. Zel’dovich and Yu. P. Raizer,Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Academic Press, New York (1967).
G. R. Cowan, et al.,Process of Synthesizing Diamonds, U.S. Patent, No. 3401019, 1968.
N. V. zmitrenko, A. I. Nikanorov, V. B. Rozanov, and S. A. Shumskii,Synthesizing Diamonds by Pressure Pulses, Preprint of the Lebedev Physical Institute, No. 60, Moscow (1992).
P. Caldirola and G. Knopfel (eds.),Physics of High Energy Density, Proceedings of the International School of Physics “Enrico Fermi”, Course XLVIII, Academic Press, New York (1971).
I. S. Grigoriev and E. Z. Meilikhov (eds.),Physical Quantities. Handbook [in Russian], Energoatomizdat, Moscow (1991).
R. F. Trunin (ed.),Properties of Condensed Substances at High Pressures and Temperatures. Informational Publication [in Russian], Ministry of Atomic Energy and Industry, Moscow (1992).
A. B. Bushman, I. V. Lomonosov, and V. E. Fortov,Models of Wide-Range Equations of State for Substances at High Energy Densities [in Russian], Preprint of the Institute of High Temperatures, No. 6-287, Moscow (1990).
N. V. Novikov, Yu. A. Kochertinskii, L. A. Shul’man, et al.,Physical Properties of Diamonds. Handbook [in Russian], Naukova Dumka, Kiev (1987).
A. Kurdyumov and A. Pilyankevich,Phase Transformations in Carbon and Boron Nitride [in Russian], Naukova Dumka, Kiev (1979).
S. Kennedy,J. Geophys. Res.,81, 2467 (1976).
D. J. Erskine and W. J. Nellis,J. Appl. Phys.,71, 4882 (1992).
M. N. Pavlovskii,Fiz. Tverd. Tela, No. 9, 3192 (1967).
A. F. Goncharov,Pis’ma Zh. Éksp. Teor. Fiz.,51, 368 (1990).
A. F. Goncharov,Zh. Eksp. Teor. Fiz.,98, 1824 (1990).
J. Shaner, “Carbon at high temperature and pressure,”Proceedings of the International Conference on the Current State and Future of High-Pressure Physics, Troitsk, Russia (1966).
M. N. Pavlovskii and V. P. Drakin,Pis’ma Zh. Eksp. Teor. Fiz.,4, 5 (1966).
A. F. Goncharov,Usp. Fiz. Nauk,152, 319 (1990).
B. V. Vodolaga (private communication).
N. V. Zmitrenko (private communication).
V. P. Polyakov, A. V. Nozhkina, and N. V. Chirikov,Diamonds and Super-Hard Materials. Instructional Guide for High-School Education [in Russian], Metallurgiya, Moscow (1990).
L. V. Al’tshuler, M. N. Pavlovskii, and V. P. DrakinZh. Éksp. Teor. Fiz.,52, (1967).
V. F. Trunin, G. V. Simakov, B. N. Moiseev, et al.,Zh. Éksp. Teor. Fiz.,56, 1169 (1969).
A. Z. Zhuk, A. V. Ivanov, and G. I. Kanel’,Teplofiz. Vys. Temp.,29, 486 (1991).
Author information
Authors and Affiliations
Additional information
Translated from Preprint of the P. N. Lebedev Physical Institute No. 28 (1996).
Rights and permissions
About this article
Cite this article
Gus’kov, S.Y., Rozanov, V.B. & Rumyantseva, M.A. Equations of state for metals (Al, Fe, Cu, Pb), polyethylene, carbon, and boron nitride as applied to problems of dynamical compression. J Russ Laser Res 18, 311–342 (1997). https://doi.org/10.1007/BF02559705
Issue Date:
DOI: https://doi.org/10.1007/BF02559705