Two Universal Equations of State for Solids

Abstract

In this paper, two equations of state (EOSs) (Sun Jiu-Xun-Morse with parameters n = 3 and 4, designated by SMS3 and SMS4) with two parameters are proposed to satisfy four merits proposed previously and give improved results for the cohesive energy. By applying ten typical EOSs to fit experimental compression data of 50 materials, it is shown that the SMS4 EOS gives the best results; the Baonza and Morse EOSs give the second best results; the SMS3 and modified generalized Lennard-Jones (mGLJ) EOSs give the third best results. However, the Baonza and mGLJ EOSs cannot give physically reasonable values of cohesive energy and P-V curves in the expansion region; the SMS3 and SMS4 EOS give fairly good results, and have some advantages over the Baonza and mGLJ EOSs in practical applications.

Deflagration to Detonation Transition in Cast Explosives: Revisiting the Classical Model

“…As described earlier, previous DDT studies have employed the isothermal Modified Tait EOS which has historically been used for compression of liquids and much less with solids [22][23][24]. We feel inclined to try more recently used EOSs for solid compressions such as the Hugoniot EOS and the isentropic Walsh mirror approximation EOS.…”