Shock Waves

, Volume 21, Issue 1, pp 35–42 | Cite as

Shock compression of some porous media in conical targets: numerical study

  • A. A. Charakhch’yan
  • K. V. Khishchenko
  • V. E. Fortov
  • A. A. Frolova
  • V. V. Milyavskiy
  • L. V. Shurshalov
Original Article
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Abstract

Axially symmetric flows in conical solid targets filled by porous aluminum, graphite or polytetrafluoroethylene under impact of an aluminum plate with the velocity of 2.5 km/s are simulated numerically within the framework of the model of the hypoelastic ideal-plastic solid. The porosity of the samples is taken into account by conservation laws at the leading shock wave; the medium behind that is supposed to be nonporous. Equations of state for all materials in question are used to describe thermodynamic properties of the impactor and target over a wide range of pressures and temperatures taking into account phase transformations. The maximal over space and time pressure as a function of the initial relative density is presented and discussed.

Keywords

Porous media Condensed media Converging shock waves Conical targets 
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References

  1. 1.
    Lomonosov I.V., Fortov V.E., Frolova A.A., Khishchenko K.V., Charakhch’yan A.A., Shurshalov L.V.: Numerical study of shock compression of graphite and its conversion to diamond in conical targets. Tech. Phys. 48, 727–735 (2003)CrossRefGoogle Scholar
  2. 2.
    Lomonosov I.V., Fortov V.E., Frolova A.A., Khishchenko K.V., Charakhch’yan A.A., Shurshalov L.V.: The simulation of transformation of graphite to diamond under conditions of dynamic compression in a conic target. High Temp. 41, 447–458 (2003)CrossRefGoogle Scholar
  3. 3.
    Charakhch’yan A.A., Lomonosov I.V., Milyavskii V.V., Fortov V.E., Frolova A.A., Khishchenko K.V., Shurshalov L.V.: Converging shock waves in porous media. Tech. Phys. Lett. 30, 33–35 (2004)CrossRefGoogle Scholar
  4. 4.
    Charakhch’yan A.A., Khishchenko K.V., Milyavskii V.V., Fortov V.E., Frolova A.A., Lomonosov I.V., Shurshalov L.V.: Numerical study of converging shock waves in porous media. Tech. Phys. 50, 976–986 (2005)CrossRefGoogle Scholar
  5. 5.
    Milyavskii V.V., Fortov V.E., Frolova A.A., Khishchenko K.V., Charakhch’yan A.A., Shurshalov L.V.: Calculation of shock compression of porous media in conical solid-state targets with an outlet hole. Comput. Math. Math. Phys. 46, 873–890 (2006)CrossRefMathSciNetGoogle Scholar
  6. 6.
    Khishchenko K.V., Charakhch’yan A.A., Milyavskii V.V., Fortov V.E., Frolova A.A., Shurshalov L.V.: Mechanism of amplification of convergent shock waves in porous media. Russ. J. Phys. Chem. B 1, 612–622 (2007)CrossRefGoogle Scholar
  7. 7.
    Zel’dovich Ya.B., Raizer Yu.P.: Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena. Academic Press, New York (1967)Google Scholar
  8. 8.
    Belyakov G.V.: Shock deformation of granular media. Sov. Phys. Dokl. 19, 326–330 (1974)Google Scholar
  9. 9.
    Dontsov V.E.: Interaction of a shock wave with a spherical gas–liquid cluster. J. Appl. Mech. Tech. Phys. 45, 1–7 (2004)CrossRefGoogle Scholar
  10. 10.
    Charakhch’yan A.A.: Numerical investigation of circular cumulative jets compressing deuterium in conical targets. Plasma Phys. Control. Fusion 39, 237–247 (1997)CrossRefGoogle Scholar
  11. 11.
    Wilkins M.L.: Calculation of elastic-plastic flow. In: Aider, B., Fernbach, S., Rotenberg, M. (eds) Methods in Computational Physics, vol 3, pp. 211–263. Academic Press, New York (1964)Google Scholar
  12. 12.
    Bushman A.V., Fortov V.E., Kanel’ G.I., Ni A.L.: Intense Dynamic Loading of Condensed Matter. Taylor & Francis, Washington (1993)Google Scholar
  13. 13.
    Fortov V.E., Khishchenko K.V., Levashov P.R., Lomonosov I.V.: Wide-range multi-phase equations of state for metals. Nucl. Instr. Meth. Phys. Res. A 415, 604–608 (1998)CrossRefGoogle Scholar
  14. 14.
    Sleptsova G.P.: Moduli of elasticity. In: Vvedenskii, B.A. (eds) Encyclopedic Dictionary of Physics, vol 3, pp. 273–274. Sov. Entsiklopediya, Moscow (1963)Google Scholar
  15. 15.
    Kittel C.: Elementary Solid State Physics: A Short Course. Wiley, New York (1962)Google Scholar
  16. 16.
    Khishchenko K.V., Lomonosov I.V., Fortov V.E.: Equations of state for polymethylmethacrylate and polytetrafluoroethylene in a wide range of densities and temperatures. High Temp. High Press. 30, 373–378 (1998)CrossRefGoogle Scholar
  17. 17.
    Zhuk A.Z., Ivanov A.V., Kanel’ G.I.: Kinetics of graphite- diamond phase transition. High Temp. 29, 380–387 (1991)Google Scholar
  18. 18.
    Khishchenko K.V., Fortov V.E., Lomonosov I.V., Pavlovskii M.N., Simakov G.V., Zhernokletov M.V.: Shock compression, adiabatic expansion and multi-phase equation of state of carbon. In: Furnish, M.D., Thadhani, N.N., Horie, Y. (eds) Shock Compression of Condensed Matter—2001, pp. 759–762. AIP, New York (2002)Google Scholar
  19. 19.
    Khishchenko K.V., Fortov V.E., Lomonosov I.V.: Multiphase equation of state for carbon over wide range of temperatures and pressures. Int. J. Thermophys. 26, 479–491 (2005)CrossRefGoogle Scholar
  20. 20.
    Setchell R.E., Storm E., Sturtevant B.: An investigation of shock strengthening in a conical convergent channel. J. Fluid Mech. 56, 505–522 (1972)MATHCrossRefGoogle Scholar
  21. 21.
    Lomonosov I.V., Fortov V.E., Frolova A.A., Khishchenko K.V., Charakhch’yan A.A., Shurshalov L.V.: A possible approach to the production of syntetic diamonds. Doklady Phys. 43, 306–308 (1998)Google Scholar
  22. 22.
    Charakhch’yan A.A.: Continuous compression waves in the two-dimensional Riemann problem. Comput. Math. Math. Phys. 49, 1774–1780 (2009)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • A. A. Charakhch’yan
    • 1
  • K. V. Khishchenko
    • 2
  • V. E. Fortov
    • 2
  • A. A. Frolova
    • 1
  • V. V. Milyavskiy
    • 2
  • L. V. Shurshalov
    • 1
  1. 1.Dorodnicyn Computing CentreRussian Academy of SciencesMoscowRussia
  2. 2.Joint Institute for High TemperaturesRussian Academy of SciencesMoscowRussia

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