Resistance equation of projectile penetrating into reinforced concrete shield

WANG Wu; YANG Jun; WANG Anbao; LI Shengjie

doi:10.11883/bzycj-2024-0217

Volume 45 Issue 3

Mar. 2025

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WANG Wu, YANG Jun, WANG Anbao, LI Shengjie. Resistance equation of projectile penetrating into reinforced concrete shield[J]. Explosion And Shock Waves, 2025, 45(3): 033301. doi: 10.11883/bzycj-2024-0217

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WANG Wu, YANG Jun, WANG Anbao, LI Shengjie. Resistance equation of projectile penetrating into reinforced concrete shield[J]. Explosion And Shock Waves, 2025, 45(3): 033301. doi: 10.11883/bzycj-2024-0217

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Resistance equation of projectile penetrating into reinforced concrete shield

doi: 10.11883/bzycj-2024-0217

WANG Wu^{1, 2
,},
YANG Jun^{1
,
,},
WANG Anbao²,
LI Shengjie¹

1.
Department of Civil Engineering, Tsinghua University, Beijing 100084, China
2.
Institute of Defense Engineering, AMS, PLA, Beijing 100036, China

Received Date: 2024-07-02
Rev Recd Date: 2024-09-15

Available Online: 2024-09-19

Publish Date: 2025-03-05

Abstract

Abstract

To study the penetration resistance to the projectile by the reinforced concrete, the mechanical response of reinforcing bars under the dynamic constraint of both the projectile and concrete was analysed and the limitation of existing finite-length rigid beam models have been obtained. Based on this foundation, a shear-plastic hinge model was used to analyze the case of a projectile directly hitting the reinforcing bars, and a plastic string model was used to analyze the case of a projectile colliding with the side of the reinforcing bars, resulting in a more accurate equation for penetration resistance. In the shear-plastic hinge model, stress analysis was performed based on the shear sliding of the reinforcing bar before fracture, and energy dissipation was calculated based on the deformation of the plastic hinge after the reinforcing bar fractures. In the plastic string model, the yield criterion of reinforcing bars under the combined action of bending moment and axial force was analyzed, and the plastic energy dissipation equations for reinforcing bar tension and bending were established. At the same time, the influence of changes in reinforcing bar kinetic energy was considered. Based on the theoretical model of cavity expansion and the empirical formula for the depth of projectile penetration, the concrete resistance equation under the indirect influence of steel reinforcement was obtained. By comparing with existing test data, the rationality of the theoretical models was verified. By analyzing the yield strength, diameter, mesh size of reinforcing bars, as well as the impact location of projectile, suggestions for the reinforcement design of the bulletproof layer were given. The adjacent two layers of reinforcing bars mesh should be staggered. The ratio of steel mesh to projectile diameter should be set between 0.5 and 0.8. It is not advisable to simply pursue high-strength reinforcing bars, and the ultimate plastic strain of reinforcing bars should also be considered as an important factor.
- reinforced concrete,
- penetration resistance,
- theoretical model,
- reinforcement design

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References(29)

References

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