Approximate equation of state of condensed substances

  • G. A. Bogachev


The functions entering into the equation of state of Mie-Gruneisen solids are constructed approximately. In [1] an approximate equation of state was proposed for solids whose adiabatic curves obey a linear relationship between the velocity of the shock wave D and the mass velocity U; the slope of the shock adiabatic curve was equal to 1.5. In the present work, the dimensionless variables proposed in [2] are used to construct an equation of state which is free from the above-mentioned limitation. The equation of state found is used to make calculations of the shock compression of porous metals, in particular, of copper, with values of the porosity not differing significantly from unity.


Copper Porosity Mathematical Modeling Shock Wave Mechanical Engineer 
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Literature cited

  1. 1.
    V. P. Koryavov, “Approximate equation of state of solids,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1964).Google Scholar
  2. 2.
    F. E. Prieto, “A law of corresponding states for materials at shock pressures,” J. Phys. Chem. Solids,35, No. 2 (1974).Google Scholar
  3. 3.
    F. E. Prieto and C. Renero, “Equation for the shock adiabatic,” J. Appl. Phys.,41, No. 9 (1970).Google Scholar
  4. 4.
    Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Academic Press.Google Scholar
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    High-Temperature Shock Phenomena [Russian translation], Izd, Mir, Moscow (1973).Google Scholar
  6. 6.
    D. J. O'Keefe, “Theoretical determination of the shock states of porous copper,” J. Appl. Phys.,42, No. 2 (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • G. A. Bogachev
    • 1
  1. 1.Moscow

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