A multiphase irreversible-compaction model for granular-porous materials

An Eulerian, hyperbolic, multiphase-flow model for dynamic and irreversible compaction of porous materials is constructed. A reversible elastic, compressible, material derived. Classical homogenization results are obtained. The then derived in accordance with the following basic principles. First, entropy inequality satisfied by model. Second, stress coming from elastic energy decreases time (the behaves as Maxwell-type materials). admits an equilibrium state corresponding to a Gurson-type limit which varies porosity. sound velocity at yield smaller than that Such embedded structure ensures thermodynamically correct formulation porous-material usual used detonation community recovered. validated on quasi-static loading–unloading experiments HMX. ability capture strong shock propagation well its deal interface between fluid demonstrated Hugoniot curve aluminium various porosities unique set empirical parameters.