Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. A technique is described for modeling mechanically induced localized heating and ignition at the grain scale (meso-scale) of granular reactive solids that maintains proper consistency with the experimentally characterized bulk (macro-scale) material behavior. The technique is illustrated for the dynamic compaction, localized heating, and ignition of granular HMX due to mild impact of a constant speed piston (-86 m/s). Guided by basic principles of contact mechanics, bulk dissipated mechanical energy is thermalized at localization sites (hot-spots) within the material meso-structure which are centered at intergranular contact points (surfaces). The evolution of bulk quantities is tracked at the macro-scale and the evolution of hot-spot temperature, mass fraction, and reaction progress are tracked at the meso-scale. Model predictions indicate that the onset of sustained combustion occurs for a piston speed that agrees well with confined Deflagration-toDetonation Transition (DDT) experiments. This result suggests that the coupling technique may provide a rational framework for the development of improved energy localization, and ignition models for heterogeneous reactive solids.Results of a parametric sensitivity analysis show that the model is reasonably insensitive to variation in key energy localization parameters.14. SUBJECT TERM Mechanical ignition; reactive flow; shock wave; equation of state; detonation velocity; grain size distribution 15.