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Empirical Equations of State for Solids

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References

  1. Ahrens, T.J.: Equation of state. In: Asay, J.R., Shahinpoor, M. (eds.) High-Pressure Shock Compression of Solids, chapter 4. Springer, Berlin Heidelberg New York (1993)

    Google Scholar 

  2. Anderson, O.L.: Equations of State of Solids for Geophysics and Ceramic Science. Oxford University Press, Oxford (1995)

    Google Scholar 

  3. Bushman, A.V., Fortov, V.E., Lomonsov, L.V.: Wide-range equation of state models for matter. In: Eliezer, S., Ricci, R.A. (eds.) High-Pressure Equations of State: Theory and Applications. Proceedings of the International School of Physics Enrico Fermi, Course CXIII, pp. 249-262. North-Holland, Amsterdam (1991)

    Google Scholar 

  4. Carroll, M., Holt, A.C.: Suggested modification of the P -α model for porous materials. J. Appl. Phys. 43, 759-761 (1972)

    Article  ADS  Google Scholar 

  5. Chisolm, E.D., Crockett, S.D., Wallace, D.C.: Test of a theoretical equation of state for elemental solids and liquids. Phys. Rev. B 68, 104103 (2003)

    Article  ADS  Google Scholar 

  6. Cowperthwaite, M., Shaw, R.: CV (T ) equation of state for liquids: Calculation of the shock temperature of carbon tetrachloride, nitromethane and water in the 100-kbar region. J. Chem. Phys. 53, 555-560 (1970)

    Article  ADS  Google Scholar 

  7. Davis, W.C.: Complete equation of state for unreacted solid explosives, Combust. Flame 120, 399-403 (2000)

    Article  Google Scholar 

  8. Eliezer, S., Ghatak, A., Hora, H.: Fundamentals of Equations of State, World Scientific, Singapore (reprint of ‘Introduction to Equations of State: Theory and Applications,’ Cambridge Univ. Press, 1986) (2002)

    Book  MATH  Google Scholar 

  9. Fat’yanov, O.V., Ogura, T., Nicol, M.F., Nakamura, K.G., Kondo, K.-I.: Time-resolved two-band infrared radiometry of carbon tetrachloride under shock com-pression up to 10 GPa. Appl. Phys. Lett. 77, 960-962 (2000)

    Article  ADS  Google Scholar 

  10. Fickett, W., Davis, W.C.: Detonation. University of California Press, California (1979)

    Google Scholar 

  11. Forest, C.A.: Isentrope energy, Hugoniot temperature, and the Mie-Gruneisen equation of state. Shock Compression in Condensed Matter - 1995, pp. 31-34 (1996)

    Google Scholar 

  12. Fowles, G.R.: Shock wave compression of hardened and annealed2024 aluminium, J. Appl. Phys. 32, 1457-1487 (1961)

    Article  Google Scholar 

  13. Fritsch, F.N.: The LEOS interprolation package, Technical Report UCRL-ID-148554-REV-1, Lawrence Livermore National Lab (2003)

    Google Scholar 

  14. Gonthier, K.A., Menikoff, R., Son, S.F., Asay, B.W.: Modeling compaction-induced energy dissipation of granular HMX, Eleventh (International) Sympo-sium on Detonation, pp. 153-161 (1998)

    Google Scholar 

  15. Graboske, H.: New EOS for air. Technical Report UCID-16901, Lawrence Livermore National Lab (1975)

    Google Scholar 

  16. Greff, C.W., Graf, M.J.: Lattice dynamics and the high-pressure equation of state of Au, Phys. Rev. B 69, 054107 (2004)

    Article  ADS  Google Scholar 

  17. Hama, J., Suito, K.: The search for a universal equation of state correct up to very high pressures, J. Phys. Condens. Matter 8, 67-81 (1996)

    Article  ADS  Google Scholar 

  18. Hayes, D.B.: A P nt detonation criterion from thermal explosion theory, Sixth (International) Symposium on Detonation, pp. 95-100 (1976)

    Google Scholar 

  19. Hayes, D.B., Hall, C.A., Asay, J.R., Knudson, M.D.: Measurement of the com-pression isentrope for 6061-T6 aluminium to 185 GPa and 46% volumetric strain using pulsed magnetic loading. J. Appl. Phys. 96, 5520-5527 (2004)

    Article  ADS  Google Scholar 

  20. Hayes, D., Hixson, R.S., McQueen, R.G.: High pressure elastic properties, solid-liquid phase boundary and liquid equation of state from release wave measurements in shock-loaded copper. In: Shock Compression in Condensed Matter - 1999, pp. 483-488 (2000)

    Google Scholar 

  21. Henderson, L.F., Menikoff, R.: Triple-shock entropy theorem and its conse-quences. J. Fluid Mech. 366, 179-210 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  22. Herrmann, W.: Constitutive equation for the dynamic compaction of ductile porous material. J. Appl. Phys. 40, 2490-2499 (1969)

    Article  ADS  Google Scholar 

  23. Holian, K.S.: T-4 handbook of material property data bases. vol. Ic equations of state. Technical Report LA-10160-MS, Los Alamos National Lab (1984)

    Google Scholar 

  24. Huang, K.: Statictical Mechanics, second edn. Wiley, New York (1987)

    Google Scholar 

  25. Jayaraman, A.: Diamond anvil cell and high-pressure physical investigations. Revs. Mod. Phys. 55, 65-108 (1983)

    Article  ADS  Google Scholar 

  26. Jeanloz, R.: Shock wave equation of state and finite strain theory. J. Geophys. Res. B 94, 5873-5886 (1989)

    Article  ADS  Google Scholar 

  27. Johnson, J.D.: The features of the principal Hugoniot. In: Shock Compression in Condensed Matter - 1997, pp. 27-30 (1998)

    Google Scholar 

  28. Kubaschewski, O.: Iron-Binary Phase Diagrams. Springer, Berlin Heidelberg New York (1982)

    Google Scholar 

  29. Levashov, P.R., Khishchenko, K.V., Lomonosov, I.V., Fortov, V.E.: Database on shock-wave experiments and equations of state available via internet. In: Shock Compression in Condensed Matter - 2003, pp. 87-90 (2004)

    Google Scholar 

  30. Li-Rong, C., Qing-Hu, C.: On the tests of universality for isothermal equations of state. J. Phys. Condens. Matter 3, 775-780 (1991)

    Article  ADS  Google Scholar 

  31. Lomonosov, I.V., Bushman, A.V., Fortov, V.E.: Equation of state for metals at high energy densities. In: Shock Compression in Condensed Matter - 1993, pp. 117-120 (1993)

    Google Scholar 

  32. Lomonosov, I.V., Bushman, A.V., Fortov, V.E., Khishenko, K.V.: Caloric equation of state of structual materials. In: Shock Compression in Condensed Matter - 1993, pp. 133-136 (1993)

    Google Scholar 

  33. Luo, S.-N., Akins, J.A., Ahrens, T.J., Asimow, P.D.: Shock-compressed MgSiO3 glass, enstatite, olivine, and quartz: Optical emission, temperature, and melting. J. Geophys. Res. 109, B05205 (2004)

    Article  Google Scholar 

  34. Lyon, S.P., Johnson, J.D.: SESAME: the Los Alamos National Laboratory equation of state database. In: Technical Report LA-UR-92-3407, Los Alamos National Lab (1992)

    Google Scholar 

  35. MacDonald, J.R.: Review of some experimental and analytical equations of state. Rev. Mod. Phys. 41, 316-349 (1969)

    Article  ADS  Google Scholar 

  36. Mader, C.L.: Numerical Modeling of Explosives and Propellants, second edn. CRC, Baca Raton, FL (1998)

    Google Scholar 

  37. Mao, H.K., Bell, P.M., Shaner, J.W., Steinberg, D.J.: Specific volume measurements of Cu, Mo, Pd and Ag and calibration of the ruby R1 florescence pressure gauge from 0.06 to 1 Mbar. J. Appl. Phys. 49, 3276-3283 (1978)

    Article  ADS  Google Scholar 

  38. Marsh, S. (ed.): LASL Shock Hugoniot Data, University of California Press, California (1980)

    Google Scholar 

  39. McQueen, R.G.: Shock waves in condensed media: their properties and the equation of state of materials derived from them. In: Eliezer, S., Ricci, R.A., (eds.), High-Pressure Equations of State: Theory and Applications. Proceedings of the International School of Physics Enrico Fermi, Course CXIII North-Holland, Amsterdam, pp. 101-216 (1991)

    Google Scholar 

  40. Menikoff, R.: Meso-scale simulations of compaction waves in a granular bed. Technical Report LA-UR-01-2211, Los Alamos National Lab. Presented at 23rd International Symposium on Shock Waves (2001)

    Google Scholar 

  41. Menikoff, R., Kober, E.: Equation of state and Hugoniot locus for porous mate-rials: P -α model revisited. In: Shock Compression in Condensed Matter - 1999, pp. 129-132 (1999)

    Google Scholar 

  42. Menikoff, R., Plohr, B.J.: The Riemann problem for fluid flow of real materials. Rev. Mod. Phys. 61, 75-130 (1989)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  43. Menikoff, R., Sewell, T.D.: Fitting forms for isothermal data. High Pressure Res. 21,121-138 (2001)

    Article  ADS  Google Scholar 

  44. Menikoff, R., Sewell, T.D.: Complete equation of state for beta-HMX and im-plications for initiation. In: Shock Compression in Condensed Matter - 2003, pp. 157-160 (2004)

    Google Scholar 

  45. Pastine, D.J., Pisascesi, D.: Existence and implications of curvature in relation between shock and particle velocities for metals. J. Phys. Chem. Solids 27, 1783 (1966)

    Article  ADS  Google Scholar 

  46. Poirier, J.-P.: Introduction to the Physics of the Earth’s Interior. Cambridge University Press, Cambridge (1991)

    Google Scholar 

  47. Reisman, D.B., Toor, A., Cauble, R.C., Hall, C.A., Asay, J.R., Knudson, M.D., Furnish, M.D.: Magnetically driven isentropic compression experiments on the Z accelerator. J. Appl. Phys. 89, 1625-1633 (2001)

    Article  ADS  Google Scholar 

  48. Ruoff, A.L.: Linear shock-velocity-particle-velocity relationship. J. Appl. Phys. 38,4976-4980 (1967)

    Article  ADS  Google Scholar 

  49. Segletes, S.B.: Thermodynamic stability of the Mie-Grüneisen equation of state, and its relevance to hydrocode computations. J. Appl. Phys. 70, 2489-2499 (1991)

    Article  ADS  Google Scholar 

  50. Shaner, J.W.: Grüneisen gamma and the acoustic velocity for soft sphere fluids, J. Chem. Phys. 89, 1616-1624 (1988)

    Article  ADS  Google Scholar 

  51. Sikka, S.K., Godwal, B.K., Chadambaram, R.: Equation of state at high pressure. In: Davison, L. Shahinpoor, M. (eds.) High-Pressure Shock Compression of Solids III, chapter 1. Springer, Berlin Heidelberg New York (1998)

    Google Scholar 

  52. Steinberg, D.J.: Equation of state and strength properties of selected materials. Technical Report UCRL-MA-106439-revised. Lawrence Livermore National Lab (1996)

    Google Scholar 

  53. Swesty, F.D.: Thermodynamically consistent interpolation for equation of state tables. J. Comp. Phys. 127, 118-127 (1996)

    Article  MATH  ADS  Google Scholar 

  54. Thompson, P.A.: A fundamental derivative in gasdynamics. Phys. Fluids 14, 1843-1849 (1971)

    Article  MATH  ADS  Google Scholar 

  55. Vinet, P., Rose, J.H., Ferrante, J., Smith, F.R.: Universal features of the equation of state of solids. J. Phys.: Condens. Matter 1, 1941-1963 (1989)

    Article  ADS  Google Scholar 

  56. Wallace, D.C.: Statistical Physics of Crystals and Liquids. World Scientific, Singapore (2002)

    Google Scholar 

  57. Walsh, J.W., Christian, R.H.: Equation of state of metal from shock wave measurements. Phys. Rev. 97, 1544-1556 (1955)

    Article  ADS  Google Scholar 

  58. Woolfolk, R.W., Cowperthwaite, M., Shaw, R.: A “universal” Hugoniot for liquids. Thermochim. Acta 5, 409-414 (1973)

    Article  Google Scholar 

  59. Yoo, C., Cynn, H.: Equation of state, phase transition, decomposition of β -HMX, J. Chem. Phys. 111, 10229-10235 (1999)

    Article  ADS  Google Scholar 

  60. Zeldovich, Y.B., Raizer, Y.P.: Physics of Shock Waves and High-temperature Hydrodynamic Phenomena, vol. II. Academic, New York (1967)

    Google Scholar 

  61. Zharkov, V.N., Kalinin, V.: Equations of State for Solids at High Pressures and Temperatures. Consultants Bureau (trans. from Russian) (1971)

    Google Scholar 

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  1. Los Alamos National Laboratory, 87545, Los Alamos, NM, USA

    Ralph Menikoff

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  1. AFRL/MNME Munitions Directorate, 2306 Perimeter Road, 32542, Eglin AFB, FL, USA

    Yasuyuki Horie

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Menikoff, R. (2007). Empirical Equations of State for Solids. In: Horie, Y. (eds) ShockWave Science and Technology Reference Library. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68408-4_4

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