| A unified analytical approach to the solution of the shaped charge penetration in concrete problem has been developed and is presented in this paper. The analytical model is correlated to three types of experiments that study the shaped charge jet formation process and resulting penetration phenomena. Hydrodynamic finite element analysis of the explosive detonation, liner collapse, and jet formation process is compared to a flash x-ray experiment of the jet at 30, 35, 45, 60, and 90 (mu)sec. Analytical predictions of the penetration time history are compared to experiments where the penetration time history is monitored. These experiments provide for a determination of the minimum jet velocity for penetration as a function of standoff. Finally computer predictions of total penetration and hole profile are compared to experiments. These correlations provide for a determination of the jet energy/target hole volume constant. The applicability of the computer model is shown by correlation to three sets of additional experimental data where the liner angle, liner thickness, and explosive type are varied. The following variations in the shaped charge design are studied: (1) 8% thick 6061-T6 aluminum liner with 75, 90, 105, and 120 degree cones and C-4 explosive; (2) 4% thick 6061-T6 aluminum liner with 100, 105, 110, 115, and 120 degree cones and octol explosive; (3) 105 degree 6061-T6 aluminum liner with 2, 4, 6, and 8% thick cones and octol explosive. The method developed has been shown to be valid for a broad range of shaped charge designs in concrete targets. Preliminary investigations, with other target materials show the method can be extended to a generalized shaped charge design into any target as long as some basic target material properties are known. |
