Equations of state and the parameters of interatomic interaction potentials for six metals which experience phase transformations in stress waves

Abstract

For six metals which experience phase transformations in stress waves, Fe, Cr, Hf, Pb, Ti, and Zr, equations of state have been obtained with the use of the Lennard-Jones interatomic interaction potential for low pressure and high pressure phases. For the low pressure phases, the parameters of the potential were calculated with the use of a complex of physical characteristics which are determined for the unstrained sample under normal conditions. The parameters of therelations D(u) and P(x) for the high pressure phases were determined from the data of a shock-wave experiment with observance of requirements for their consistency. The approximations obtained for the high pressure phases enable one to calculate the compressibility with the density increment measured with an error no more than 6% and the velocity of propagation of the shock wave with an error of 4% up to about twofold compression.