Similarity Analysis of Projectile Penetration into Concrete

Meng Huang; Zhuo-Cheng Ou; Yi Tong; Zhuo-Ping Duan; Feng-Lei Huang

doi:10.14429/dsj.68.10595

Meng Huang State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology
Zhuo-Cheng Ou State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology
Yi Tong State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology
Zhuo-Ping Duan State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology
Feng-Lei Huang State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology

DOI: https://doi.org/10.14429/dsj.68.10595

Keywords: Similarity theory, intermediate asymptotics, complete similarity, incomplete similarity, non-deformable projectile, concrete target

Abstract

This paper presents a dimensionless model for the depth of penetration (DOP) of a projectile penetrating into a concrete target, based on the similarity theory involving intermediate asymptotics, complete similarity, and incomplete similarity. The calculated numerical results are in good agreement with previous experimental data, including two sets of full-scale and twenty-four sets of sub-scale penetration of non-deformable projectiles into concrete targets. Moreover, compared with several empirical and semi-empirical DOP models, the new model is applicable within a relatively broader range, including the penetration of both sub-scale and full-scale projectiles. For the limitations of the validity, dimensionless parameters Π₃= ϕ_t/ϕ larger than 12, Π₄= (ϕ³f_c)/(Mv₀²) smaller than 0.1, and the initial impact velocity of the projectile less than about 900 to 1000m/s are necessary for the model.

Author Biographies

Meng Huang, State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology

Mr Meng Huang obtained BSc (Engineering Mechanics) from Taiyuan Univesity of Science and Technology in 2009 and currently pursuing his PhD from Beijing Institute of Technology (BIT), P.R. China. His research areas are impact dynamics of solids and dynamic fracture mechanics.In the current study, he has provided the initial idea, developed the model and prepared the manuscript.

Zhuo-Cheng Ou, State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology

Dr Zhuo-Cheng Ouobtained his PhD from (Solid Mechanics) from Xi’an Jiaotong University (XJTU), China, in 2003. Currently working as a Professor in the State Key laboratory of Explosion Science and Technology, BIT, China. His research areas include impact dynamics of solids, dynamic fracture mechanics and fractal fracture mechanics.In the current study, he has guided for developing the model and preparing the manuscript.

Yi Tong, State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology

Dr Yi Tong obtained his PhD from Beijing Institute of Technology, China, in 2000. Currently he is a associate professor at State Key Laboratory of Explosion Science and Technology, BIT. His research areas are explosion and its application.In the current study, he has planed and developed the numerical calculation.

Zhuo-Ping Duan, State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology

Dr Zhuo-Ping Duan obtained his PhD from Beijing Institute of Technology, China, in 1994. Presently, he is a Professor at State Key Laboratory of Exlosion Science and Technology, BIT. His research areas are explosion damage technology and its application.In the current study, he has planed and developed the experiments.

Feng-Lei Huang, State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology

Dr Feng-Lei Huang obtained his PhD from Beijing Institute of Technology (BIT), P.R. China, in 1992. Presently, he is a Professor at State Key Laboratory of Exlosion Science and Technology, BIT and his research areas are explosion dynamics, explosion damage and explosion protection.In the current study, he has planed and developed the experiments.

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