Enthalpy-based equation of state for highly porous materials employing modified soft sphere fluid model

An Equation of State for Metals at High Temperature and Pressure in Compressed and Expanded Volume Regions

“…This procedure is an extension of van der Waals theory of fluids, which treats attractive part as a zero temperature component of the EOS. We developed a modified soft-sphere model [29], wherein the use of simulation data was retained, however a generalized Lennard-Jones model was used as the attractive component. Instead of numerical fitting, all the parameters of the modified model were determined in terms of V c0 , E coh , B 0 , and B 0 at normal conditions.…”

“…Next, we compare the liquid-vapor phase diagram of Cu employing the modified soft-sphere model, which was briefly considered in our earlier work [29]. It is well known that the attractive and thermal components of energy finely balance to produce the van der Waals loops in the isotherms in the vapor-liquid co-existence region.…”

“…First, we showed [5] (using analytical fits [34] to results of TF theory) the correct approach to incorporate electronic effects explicitly. Then, we developed the modified soft-sphere model to properly evaluate the Hugoniot of highly porous materials, as their final shocked states are in the fluid region [29]. In another development, we used the EOS to show that the enthalpy-based approach can be implemented [44] in hydrodynamic simulations to describe shock wave propagation in solid as well as porous materials.…”