Model detonation of solid explosives by the homogeneous mechanism

A two-phase detonation model of solid porous explosives, which takes into account the compression of solid-state particles and the presence of a solid component in detonation products, is developed. The homogeneous detonation mechanism based on the Arrhenius-type reaction is studied. Detonation is initiated by the region of high-pressure and high-temperature gases modeling the detonator explosion. A numerical experiment confirms that there exists an initiation-pressure limit below which no homogeneous mechanism of detonation is active. The detonation wave has the leading front in which the explosive is precompacted and the gas in the porous volume is compressed up to a pressure of $\gtrsim$ 100 GPa without any significant change in particle density. Then the gas compresses the particles themselves up to the pressure and temperature of the thermal explosion. As a result, the leading front is followed (after a certain delay) by a narrow reaction zone where detonation products are formed with a further increase in pressure.