Abstract
The use of plane shock waves to determine the equations of state of condensed materials to very high pressure began in 1955 with the classic papers of Walsh and Christian (1955) and Bancroft et al. (1956). Walsh and Christian described the use of in-contact explosives to determine dynamic pressure– volume relations for metals and compare these to the then available static compression data. Bancroft et al. described the first polymorphic phase change discovered in a solid, via shock waves—iron. Two years later Soviet workers (Al’tshuler et al., 1958) reported the first data for iron to pressures of several million bars (megabars) actually exceeding the pressure conditions within the center of the Earth. Since that time the equations of state of virtually hundreds of condensed materials have been studied, including elements, compounds, alloys, rocks and minerals, polymers, fluids, and porous media. These studies have employed both conventional and nuclear explosive sources, as well as impactors launched with a range of guns to speeds of approximately 10 km/s. Recently, Avrorin et al. (1986) have reported shock-compression data in lead to a record pressure of 550 Mbar.
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References
Ahrens T.J. (1979), Equations of State of Iron Sulfide and Constraints on the Sulfur Content of the Earth, J. Geophys. Res. 84, 985–998
Ahrens T.J., Anderson D.L., and Ringwood A.E. (1969), Equation of State and Crystal Structures of High-Pressure Phases of Shocked Silicates and Oxides, Rev. Geophys. 7, 667–707
Ahrens T.J., Lyzenga G.A., and Mitchell A.C. (1982), Temperatures Induced by Shock Waves in Minerals, in High Pressure Research in Geophysics (edited by Akimoto S. andM.H. Manghnani), Center for Academic Publications, Japan, pp. 579–594
Ahrens T.J., and O’Keefe J.D. (1972), Shock Melting and Vaporization of Lunar Rocks and Minerals, The Moon 4, 214–249
Ahrens T.J., and O’Keefe J.D. (1977), Equation of State and Impact-Induced Shock-Wave Attenuation on the Moon, in Impact and Explosion Cratering (edited by Roddy D.J. et al.), Pergamon Press, New York, pp. 639–656
Al’tshuler L.V. (1965), Use of Shock Waves in High-Pressure Physics, Soviet Phys. Uspekhi 85, 52–91
Al’tshuler L.V., Kormer S.B., Brazhnik M.I., Vladimirov L.A., Speranskaya M.P., and Funtikov A.I. (1960), The Isentropic Compressibility of Aluminum, Copper, Lead, and Iron at High Pressures, Soviet Phys. JETP 11, 766–775
Al’tshuler L.V., Krupnikov K.K., Ledenev B.N., Zhuchikhin V.I., and Broznik M.I. (1958), Dynamic Compressibility and Equation of State of Iron under High Pressure, Soviet Phys. JETP 34 (7), 606–19
Avrorin E.N., Vodolaga B.K., Voloshin N.P., Kuropatenko V.F., Kovalenko G.V., Simonenko V.A., and Chernovolyuk B.T. (1986), Experimental Confirmation of Shell Effects on the Shock Adiabats of Aluminum and Lead, JETP Lett. 43, 308–311
Bakanova A.A., Zubarev V.N., Sutulov Y.N., and Trunin R.F. (1976), Thermodynamic Properties of Water at High Pressures and Temperatures, Soviet Phys. JETP 41 544–548
Bancroft D., Peterson E.L., and Minshall S. (1956), Polymorphism of Iron at High Pressure, J. Appl. Phys. 27, 291–298
Barker L.M., and Hollenbach R.E. (1972), Laser Interferometer for Measuring High Velocities of Any Reflecting Surface, J. Appl. Phys. 43, 4669–4675
Bass J.D., Svendsen B., and Ahrens T.J., (1987), The Temperatures of Shock-Compressed Iron, in High Pressure Research in Mineral Physics (edited by Manghnani M. and Y. Syono), Terra Scientific, Tokyo, pp. 393–402
Birch F. (1978), Finite Strain Isotherm and Velocities for Single-Crystal and Poly-crystalline NaCl at High Pressures and 300 K, J. Geophys. Res. 83, 1257–1268
Bloomquist D.D., Duvall G.E., and Dick J.J. (1979), Electrical Response of a Bimetallic Junction to Shock Compression, J. Appl. Phys. 50, 4838–4846
Boslough M. (1988), Postshock Temperatures in Silica, J. Geophys. Res. 93, 6477–6484
Boslough M.B., and Ahrens T.J. (1984), Particle Velocity Experiments in Anorthosite and Gabbro, in Shock Waves in Condensed Matter— 1983, (edited by Asay J.R. et al.), Elsevier Science, New York, pp. 525–528
Boslough M.B., and Ahrens T.J. (1989), A Sensitive Time-Resolved Radiation Pyrometer for Shock-Temperature Measurements above 1500 K, Rev. Sci. Instrum. 60, 3711–3716
Brown J.M., and McQueen R.G. (1982), The Equation of State for Iron and the Earth’s Core, in High Pressure Research in Geophysics (edited by Akimoto S. and M.H. Manghnani), Academic Press, New York, pp. 611–622
Davison L., and Graham R.A. (1979), Shock Compression of Solids. Phys. Rep. 55, 255–379
Duvall G.E., and Fowles G.R. (1963), Shock Waves, in High Pressure Physics and Chemistry (edited by Bradley R.S.), Academic Press, New York, pp. 209–292
Fowles G.R. (1960), Attenuation of the Shock Wave Produced in a Solid by a Flying Plate, J. Appl. Phys. 31, 655–661
Gehrels T. (1978), Protostars and Planets, University of Arizona Press, Tucson, pp. 1–756
Grady D.E. (1977), Processes Occurring on Shock Wave Compression of Rocks and Minerals, in High Pressure Research: Applications in Geophysics (edited by Manghnani M.H. and S. Akimoto), Academic Press, New York, pp. 389–438
Grover R., and Urtiew P.A. (1974), Thermal Relaxation at Interfaces Following Shock Compression, J. Appl. Phys. 45, 146–152
Holmes N.C., Moriarty J.A., Gathers G.R., and Nellis W.J. (1989), The Equation of State of Platinum to 660 GPa (6.6 Mbar), J. Appl. Phys. 66, 2962–2967
Jeanloz R. (1989), Shock Wave Equation of State and Finite Strain Theory, J. Geophys. Res 94, 5873–5886
Jeanloz R., and Ahrens T.J. (1979), Release Adiabat Measurements on Minerals: The Effect of Viscosity, J. Geophys. Res. 84, 7545–7548
Jeanloz R., and Ahrens T.J. (1980), Equations of State of FeO and CaO, Geophys. J. Roy. Astronom. Soc. 62, 505–528
Jeanloz R., and Grover R. (1988), Birch–Murnaghan and Us–Up Equations of State, in Proceedings of the American Physical Society Topical Conference on Shock Waves in Condensed Matter, Monterey, CA, 1987 (edited by Schmidt S.C. and N.C. Holmes), Plenum, New York, pp. 69–72
Jones O.E. (1972), Metal Response under Dynamic Loading, in Behavior and Utilization of Explosives in Engineering Design (edited by Henderson R.L.), University of New Mexico Press, Albuquerque, pp. 125–148
Kormer S.B., Sinitsyn M.V., Kirillov G.A., and Urlin V.D. (1965), Experimental Determination of Temperature in Shock-Compressed NaCl and KC1 and of Their Melting Curves at Pressures up to 700 kbar, Soviet Phys. Uspekhi (Engl. transl.), 21, 689–700
Lyzenga G.A., and Ahrens T.J. (1979), Multiwavelength Optical Pyrometer for Shock Compression Experiments, Rev. Sci. Instrum. 50, 1421–1424
Marsh S.P. (1980), LASL Shock Hugoniot Data, University of California Press, Berkeley, pp. 1–327
McQueen R.G., Hopson J.W., and Fritz J.N. (1982), Optical Technique for Determining Rarefaction Wave Velocities at Very High Pressures, Rev. Sci. Instrum. 53, 245–250
McQueen R.G., Marsh S.P., Taylor J.W., Fritz J.N., and Crater W.J. (1970), The Equation of State of Solids from Shock Wave Studies, in High-Velocity Impact Phenomena (edited by Kinslow R.), Academic Press, San Diego, pp. 249–419
Miller G.H., and Ahrens T.J. (1991), Shock-Wave Viscosity Measurement, Rev. Modern Phys. 63, 919–948
Mitchell A.C., and Nellis W.J. (1981), Shock Compression of Aluminum, Copper, and Tantalum, J. Appl. Phys. 52, 3363–3374
Mitchell A.C., and Nellis W.J. (1982), Equation of State and Electrical Conductivity of Water and Ammonia Shocked to the 100 GPa (1 Mbar) Pressure Range, J. Chem. Phys. 76, 6273–6281
Morris C.E., Fritz J.N., and McQueen R.G. (1984), The Equation of State of Poly-tetrafluoroethylene to 80 GPa. J. Chem. Phys. 80, 5203–5218
Murr L.E. (1981), Shock Waves and High-Strain-Rate Phenomena in Metals, Plenum, New York, pp. 1–1101
Murri W.J., Curran D.R., Petersen C.F., and Crewdson R.C. (1974), Response of Solids to Shock Waves, in Advances in High Pressure Research, Academic Press, New York, pp. 1–163
Raikes S.A., and Ahrens T.J. (1979a), Measurements of Post-Shock Temperatures in Aluminum and Stainless Stee High Pressure Science and Technology (edited by Timmerhaus K.D. and M.S. Barber), Plenum, New York, pp. 889–894
Raikes S.A., and Ahrens T.J. (1979b), Post-Shock Temperatures of Minerals, Geophys. J. Roy. Astronom. Soc. 58, 717–748
Rice M.H., and Walsh J.M. (1957), Equation of State of Water to 250 Kilobars, J. Chem. Phys. 26, 824–830
Roddy D.J., Pepin R.O., and Merrill R.B. (1977), Impact and Explosion Cratering, Pergamon, Oxford, pp. 1–1301
Rosenberg Z., and Partom Y. (1984), Direct Measurement of Temperature in Shock Loaded Polymethlmetacrylate with Very Thin Copper Thermisters, in Shock Waves in Condensed Matter—1983 (edited by Asay J.R. et al.), Elsevier, Amsterdam, pp. 251
Ruoff A.L. (1967), Linear Shock-Velocity-Particle-Velocity Relationship, J. Appl. Phys. 38, 4976–4980
Sharpton V.L., and Ward P.D. (Eds.) (1990), Global Catastrophes in Earth History; An Interdisciplinary Conference on Impacts, Volcanism, and Mass Mortality, pp. 1–631, Special Paper 247, The Geological Society of America, Boulder, Colorado, 1990
Silver L.T., and Schultz P. (Eds.) Geological Implications of Impacts of Large Asteroids and Comets on the Earth, pp. 1–528, Special Paper 190, The Geological Society of America, Boulder, Colorado, 1982
Simakov G.V., and Trunin R.F. (1990), Compression of Super-Porous Silica in Shock Waves, Izv. Earth Phys. (Russian), 11, 72–77
Stöffler D. (1972), Deformation and Transformation of Rock-Forming Minerals by Natural and Experimental Shock Processes, I, Fortschr. Miner. 49, 50–113
Stöffler D. (1974), Deformation and Transformation of Rock-Forming Minerals by Natural and Experimental Shock Processes. II. Physical Properties of Shocked Minerals. Fortschr. Miner. 51, 256–289
Svendsen B., and Ahrens T.J. (1987), Shock-Induced Temperatures of MgO, Geophys. J. Roy. Astronom. Soc. 91, 667–691
Tan H., and Ahrens T.J. (1990), Shock Temperature Measurements for Metals, High Pressure Res. 2, 159–182
Touloukian Y.S., and DeWitt D.P. (1972), Thermal Radiative Properties of Non-metallic Solids, in Thermophysical Properties of Matter, Plenum, New York, pp. 3a–48a
Trunin R.F., Simakov G.V., and Podurets M.A. (1971), Compression of Porous Quartz by Strong Shock Waves, Izv. Earth Phys. English Transl., #2, 102–106
Wackerle J. (1962), Shock-Wave Compression of Quartz, J. Appl. Phys. 33, 922–937
Walsh J.M., and Christian R.H. (1955), Equation of State of Metals from Shock Wave Measurements, Phys. Rev. 97, 1544–1556
Watt J.P., and Ahrens T.J. (1983), Shock Compression of Single-Crystal Forsterite, J. Geophys. Res. 88, 9500–9512
Williams Q., Jeanloz R, Bass J., Svendsen B., and Ahrens T.J. (1987), The Melting Curve of Iron to 250 Gigapascals: A Constraint on the Temperature at Earth’s Center, Science 236, 181–182
Yakushev V.V. (1978), Electrical Measurements in a Dynamic Experiment, Fiz. Goreniya Vzryva 14, 3–19
Zaitzev V.M., Pokhil P.F., and Shvedov K.K. (1960), An Electromagnetic Method for Measurement of the Velocity of Explosion Products, Dokl. Akad. Nauk. SSSR 132, 1339–1340
Zel’dovich Y.G., and Kompaneets A.S. (1960), Theory of Detonation, Academic Press, New York
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Ahrens, T.J. (1993). Equation of State. In: Asay, J.R., Shahinpoor, M. (eds) High-Pressure Shock Compression of Solids. High-Pressure Shock Compression of Condensed Matter. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0911-9_4
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