Abstract
This paper presents the development of a mechanistic reactive burn 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.
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