A Simplified Analytical Method for Calculations of Equation-of State of Materials from Shock Compression Data

Assuming (1) the Born-Meyer potential, (2) with negligible electron contribution to thermal energy, and (3) with a linear relation between the shock and particle velocities are valid for materials to be studied, an analytical approach is proposed in this paper for calculating the binding energy and the corresponding Grneisen equation-of-state of those materials. Seventeen metals, including Be, Al, Cu, Ta, U etc, are used as example to test the applicability of the proposed method by calculating the values of Q, q which are two parameters in Born-Meyer potential. In comparison with those give from Refs [13-14], it is found that there appears a satisfactory agreement among the data from these three different sources with a few exceptions of Be, Ni and Pb, and the validity of this method is also proved. The possible causes of the discrepancies in Be, Ni and Pb are also discussed in paper.