A statistical approach on mechanistic modeling of high-explosive ignition

This paper presents the development of a mechanistic reactive bum model for solid explosives through use of a size distribution function for hotspots. The model couples the unifying hot-spot model developed earlier and the Lagrangian hydrodynamic flow equations. The hot-spot model incorporates key features of energy localization without introducing the mechanism-specific traits and is applicable to the three primary mechanisms of energy localization: pore collapse, friction. and shear banding. The coupling of the model to the hydrodynamic flow equations include models for energy localization, the growth of hot spots, and a two-phase aggregation of distributed hot spots, and a mixing rule for a product gas and a reacting solid. Proof-of-concept calculations for shock initiation are carried out in one spatial dimension, using RDX as a model material. Results include (1) shock ignition and growth-to-detonation, and (2) quenching.