Mechanistic model of hot-spot: A unifying framework

A one dimensional hot-spot model is proposed to consider wide range of ignition scenarios for solid high explosives. Model components commonly found in typical mechanistic hot-spot models are included in the model. They are a finite region of enhanced heating in the solid matrix, a space occupied by gases, heat flow between solid and gas phases, and chemical reaction in the gas phase, at the solid-gas interface, or both. The model also contains advanced features of spherical pore-collapse models. Test calculations based on cyclonite (RDX) data show that the model behavior is comparable to that of spherical models under conditions indicative of shock initiation. Critical conditions for ignition is summarized in a single chart in terms of total energy dissipation, the rate of energy dissipation, and the size of hot-spot.