A Few-Parameter Equation of State and Its Application to the High-Velocity Interaction of Solids

A simple caloric model of the equation of state is proposed to describe thermodynamic properties of solid materials with the phase transitions being ignored and with the minimum possible number of parameters as the initial data. Thermal oscillations of the crystal lattice are described by the Debye approximation. The values of the parameters on the zero isotherm are calculated analytically from the generalized form of the Gruneisen function. Thermodynamic characteristics are calculated in wide ranges of densities and pressures. Two-dimensional problems of a high-velocity impact of a reactor of a nuclear power plant with the Earth's surface propulsion system are solved. The destruction problem of a nuclear power plant of space power installation at space debris impact in orbit (impact velocity of 16 km/s) are solved.