On the applicability of the P-α and P-λ models to describe the dynamic compaction response of highly heterogeneous powder mixtures J. Appl. Phys. 113, 043507 (2013); 10.1063/1.4788700 High-pressure equation of state properties of bismuth oxide J. Appl. Phys. 110, 063510 (2011); 10.1063/1.3638709 Time-resolved measurements of the shock-compression response of Mo +2 Si elemental powder mixtures J. Appl. Phys. 94, 1575 (2003); 10.1063/1.1586968 Reaction synthesis of shock densified titanium-silicon powder mixtures AIP Conf.A model framework for predicting the dynamic shock-compression response of heterogeneous powder mixtures using readily obtained measurements from quasi-static tests is presented. Lowstrain-rate compression data are first analyzed to determine the region of the bulk response over which particle rearrangement does not contribute to compaction. This region is then fit to determine the densification modulus of the mixture, r D , an newly defined parameter describing the resistance of the mixture to yielding. The measured densification modulus, reflective of the diverse yielding phenomena that occur at the meso-scale, is implemented into a rate-independent formulation of the P-a model, which is combined with an isobaric equation of state to predict the low and high stress dynamic compression response of heterogeneous powder mixtures. The framework is applied to two metal þ metal-oxide (thermite) powder mixtures, and good agreement between the model and experiment is obtained for all mixtures at stresses near and above those required to reach full density. At lower stresses, rate-dependencies of the constituents, and specifically those of the matrix constituent, determine the ability of the model to predict the measured response in the incomplete compaction regime. V C 2013 AIP Publishing LLC.