Model of the behavior of aluminum and aluminum-based mixtures under shock-wave loading

A thermodynamically equilibrium model is applied to describe the behavior of solid and porous materials. This model ensures good compliance with the experiment in a wide range of pressures. The gas in pores, which is a component of the medium, is taken into account in this model. The equation of state of the Mie-Grüneisen type with allowance for the dependence of the Grüneisen coefficient on temperature is used for condensed phases. The applied model allows the behavior of the aluminum with a porosity from $1$ to $8$ to be calculated under shock-wave loading at pressures above $5$ GPa in the one-velocity and one-temperature approximations, as well as on the assumption of equal pressures for all the phases. Computational results are compared with the well-known experimental results obtained by different authors (shock adiabats, double compression by shock waves, and temperature estimation).
The model permits the shock-wave loading of solid and porous mixtures with aluminum in their composition to be described reliably solely by using species parameters.