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Shape Optimization of Rigid 3-D High-Speed Impactors Penetrating into Concrete Shields

Abstract The problems of high-speed penetration of rigid pointed and truncated bodies into concrete media are considered with the application of a two-stage model introduced by Forrestal. Formulated problems of shape optimization, with constraints on the length and volume of the impactor, are investigated for the case of maximum depth of penetration (DOP). As a design variable, the number of faces of the pyramidal body is considered. The results of DOP computations are presented for different body shapes and for different problem parameters. Questions of the influence of pyramidal body truncation on the value of the optimized functional are investigated.