Volume 43 Issue 8
Aug.  2023
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HONG Zhijie, YANG Yaozong, KONG Xiangzhen, FANG Qin. Practical engineering calculation models for rigid projectile penetrating and perforating into concrete target[J]. Explosion And Shock Waves, 2023, 43(8): 083302. doi: 10.11883/bzycj-2022-0482
Citation: HONG Zhijie, YANG Yaozong, KONG Xiangzhen, FANG Qin. Practical engineering calculation models for rigid projectile penetrating and perforating into concrete target[J]. Explosion And Shock Waves, 2023, 43(8): 083302. doi: 10.11883/bzycj-2022-0482

Practical engineering calculation models for rigid projectile penetrating and perforating into concrete target

doi: 10.11883/bzycj-2022-0482
  • Received Date: 2022-11-01
  • Rev Recd Date: 2023-01-17
  • Available Online: 2023-03-03
  • Publish Date: 2023-08-31
  • Accurate predictions of the penetration depth and critical perforation thickness of earth penetration weapons into concrete materials are key issues in the field of protective engineering. However, the widely-used formulas have limited predictive accuracy for penetration depth when earth penetration weapons have a large diameter and a high aspect ratio, and are lack of theoretical basis for critical perforation thickness. To resolve the two issues above, the engineering calculation models of rigid ogive-nose shape projectile penetrating and/or perforating into concrete targets are investigated in this paper on the basis of 145 sets of penetration data and 32 sets of perforation data. Firstly, based on the resistance analysis of rigid projectile penetrating into concrete target, a two-stage resistance model is proposed, and then a practical calculation model of penetration depth with the consideration of scaling effect is proposed. The reliability of the proposed model is verified by comparing it with 15 sets of penetration data with large diameter and high aspect ratio as well as the predictions by widely-used ACE formula and NDRC formula. The results show that the average errors of the proposed formula, ACE formula and NDRC formula are 5.5%, 15.7% and 24.9%, respectively. Secondly, based on the assumption that the scabbing is caused by the tensile failure of concrete, a formula for the scabbing height is derived based on the force equilibrium between the stress produced by the projectile and the tensile strength of concrete target. Then, the formulas for the critical perforation thickness, ballistic limit and residual velocity are deduced, which are validated by the relevant experimental data. Besides, the coefficients of concrete targets in preventing perforation for four typical earth penetration weapons are compared and analyzed. The accuracy of proposed calculation models for penetration depth and critical perforation thickness shows a great improvement, providing reliable reference for engineering design.
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