Modeling Thermodynamic Compression States In Distended Materials and Mixtures

Development of models to describe the shock states of distended mixtures is motivated by the need to understand how these materials respond over large compression ranges starting from mechanical crush and ending in extreme thermodynamic states. The engineering and physical science communities have dedicated much effort in understanding and modeling the compressive response of distended materials. Unfortunately, the endeavor to understand becomes more complicated when the material of interest is actually a heterogeneous mixture of individual components rather than a single distended solid. The mixture may inherently have components with widely disparate densities, moduli, and strengths, thus adding to the challenge. A material modeling approach is presented which is comprised of a thermodynamically consistent Hugoniot equa- tion of state (EOS) built into a mixture-modeling framework. This combination enables the user to describe a hetero- geneous combination of material components. The modeling approach can describe the dynamic response of distended mixtures over very large compression ranges.