Statistical model of explosive fragmentation of a ring

A model of the explosive fragmentation of a thin ring was developed which take into account the statistical dispersion of the destructive relative deformation along the length of the ring. A formula is proposed for calculating the speed of motion of the boundary of the region near the plastic rupture in which the plastic flow of the ring material is stopped. Methods of numerical and analytical calculation of the average number of fragments of the ring were developed. The calculation results were compared with known experimental data.