Modelling Of Shock Waves with Multiple Phase Transitions in Condensed Materials

When a shock wave crosses a solid material and submit it to solid/solid or solid liquid phase transition, related phenomena occur: shock splitting , and the corresponding released shocked wave after reflection. Modelling of these phenomena raises physical and numerical issues. After shock loading, such materials can reach different kinds of states: \begin{itemize} \item single phase states, \item binary phase states, in the case of solid/solid or solid/liquid mixtures \item triple points, where binary zones intersect, for instance solid A/solid B, solid A/liquid, and solid B/liquid. \end{itemize} The thermodynamic path can be studied and easily understood in the (V,E) or (V,S) planes. In the case of 3-phases-tin ($\beta $ , $\gamma $ , and liquid) submitted to shock waves, seven states can occur: $\beta $ , $\gamma $, liquid , $\beta -\gamma $, $\beta $-liquid, $\gamma $-liquid, and $\beta -\gamma $-liquid. After studying the thermodynamic properties with a complete 3 phase Equation of State, we show the existence of these seven states in a hydrodynamic modelling.