Extension of the Wu-Jing equation of state (EOS) for highly porous materials: thermoelectron based theoretical model

TL;DR

This paper develops an extended Wu-Jing EOS model incorporating thermoelectrons to accurately predict the behavior of highly porous materials under shock compression, covering a broad range of pressures and porosities.

Contribution

It introduces a thermodynamic EOS for thermoelectrons into the Wu-Jing model, enabling comprehensive modeling of porous metals' shock response across wider conditions.

Findings

Accurate prediction of compression behavior of porous materials.

Development of relationships for shock temperature and sound velocity.

Model applicability over full pressure and porosity ranges.

Abstract

A thermodynamic equation of state (EOS) for thermoelectrons is derived which is appropriate for investigating the thermodynamic variations along isobaric paths. By using this EOS and the Wu-Jing (W-J) model, an extended Hugoniot EOS model is developed which can predict the compression behavior of highly porous materials. Theoretical relationships for the shock temperature, bulk sound velocity, and the isentrope are developed. This method has the advantage of being able to model the behavior of porous metals over the full range of applicability of pressure and porosity, whereas methods proposed in the past have been limited in their applicability.