Blast Wave and Time Sequence of Prefabricated Fragments for Scaled Warhead with Cylindrical Charge

In order to explore the influence of the scale effects on the timing of fragmentation and shock wave, the key parameters affecting the location of fragmentation and shock wave are determined by the dimensionless analysis and explosion theory for the prefabricated fragment warhead. This paper proposes a method to predict the timing relationship of the prototype warhead fragmentation and blast wave by the scale ratio warhead, and establishes the model of the warhead under different scale ratios. The numerical simulation is carried out with ANSYS/LS-DYNA finite element software. Based on the theoretical and numerical results, we analyze the scale effects of the warhead on the timing of shock waves and fragmentation. The results show that the ratio of the encounter position of fragments and shock waves produced by the scaled model and the prototype model depends on the mass ratio of the two models. Without considering the velocity attenuation of fragments, the ratio of the encounter position in two models is equal to the 0.33 power of the mass ratio. Due to the effects of fragmentation velocity attenuation, the method is applicable to models with a mass reduction ratio of not less than 0.2.