Thermodynamic properties and stability of shock waves in metals Academic Article uri icon

abstract

  • A thermodynamic description of metals in the range of high pressures and temperatures is obtained and applied to the problem of the stability of strong shock waves under spontaneous emission of sound. A three-term form of the equation of state is employed to describe the contributions of the cold elastic pressure, the thermal atomic pressure, and the thermal pressure of the free electrons to the total pressure. The full determination of the equation of state is performed from the experimental Hugoniot data and from a model (such as the Slater–Landau model) connecting the atomic Gruneisen parameter and the atomic cold pressure. From the equation of state, the behavior of the Mach number, the temperature, and the entropy along the Hugoniot adiabatic is obtained and analyzed. The calculation of the sound velocity behind the shock enables the application of the Kontorovich criterion for the spontaneous emission of sound from the shock’s front. It is shown that metals with a relatively low slope of the shock v...

publication date

  • January 1, 1997