A review of results on dynamic penetration of an elastoplastic (ground) medium by a rigid shape or group of projectiles is presented. A physical-mathematical model for the 2-D and 3-D motion of bodies of revolution involving non-symmetrical separation of the flow was developed. The stability of the rectilinear motion was examined by the Liapunov-Pouncare method and numerically for a slender body. In the domain of instability, a classification of the curve trajectories was given. On the other hand, experiments allow us to reveal the intermediate case of a partial ricochet in the case of group from projectiles arranged in single file or layer-wise pattern and also wide possibility of the crater architecture control by using separated bodies. The peculiarities of the single steel sphere penetration into a pre-loaded target (plasticine) were recently under study. The depth of penetration as well as the trajectory and cavity shape were measured and compared with those for unloaded target. This enable us to estimate the change in penetration process due to the pre-loading.
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