Central European Journal of Energetic Materials, 2012, 9(1), pp. 17-38.Abstract: Theoretical models proposed in the literature for the deflagration-todetonation transition (DDT) in cast explosives are evaluated for primary explosives (complex compounds) in this work. The one-dimensional model of burning (deflagration), consistent with the classical Chapman-Jouguet theory and a model of burning under the conditions of zero mass velocity behind the flame front are presented, and the physical phenomena accompanying the accelerating wave of flame in solid explosives are described. The results of calculations taken from the literature are presented for the cast high explosive (pentolite). The model of acceleration of the deflagration wave was used to estimate the time and distance at which the process of burning leads to the emergence of a shock wave in primary explosives. The influence of burning rate and the physical properties of an explosive
on the distance of deflagration to detonation transition is analysed.
