Spherical cavity-expansion model for penetration of reinforced-concrete targets

  • Y. J. Deng
  • W. J. Song
  • X. W. ChenEmail author
Research Paper


The feature of reinforcing bars is introduced into dynamic cavity-expansion theory. Based on the elastic–plastic response penetration model of plain (i.e., unreinforced) concrete (Forrestal and Tzou, 1997), a dynamic spherical cavity-expansion penetration model for reinforced-concrete targets is developed with consideration of the circumferential restriction effect derived from reinforcing bars in the crushed region. The theoretical solution and simplified calculation formula for the cavity radial stress in incompressible and compressible reinforced concrete are obtained by introducing a reinforcement ratio as the volume fraction of rebars in the concrete target. A damping function is presented to describe the restriction effect of a single layer of reinforcing bars on the surrounding concrete, thus establishing a model to calculate the penetration resistance of multilayer reinforced-concrete targets. Compared with test data for the penetration depth, this model considering the circumferential restriction effect produces better results compared with the existing theory.


Dynamic cavity-expansion theory Reinforced concrete Penetration resistance Reinforcement ratio 



The work was supported by the National Outstanding Young Scientist Foundation of China (Grant 11225213) and the National Natural Science Foundation of China (Grants 11390361 and 11390362). We also acknowledge helpful suggestions from Dr. T.H. Lv, Dr. W.J. Jiao, and Dr. D.N. Di, and especially thank the reviewers for their valuable comments that improved the quality of this paper.


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Systems EngineeringChina Academy of Engineering PhysicsMianyangChina
  2. 2.Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan ProvinceMianyangChina
  3. 3.Department of Civil Engineering and ArchitectureSouthwest University of Science and TechnologyMianyangChina
  4. 4.Department of Mechanics and Engineering Science, College of EngineeringPeking UniversityBeijingChina
  5. 5.Advanced Research Institute for Multidisciplinary ScienceBeijing Institute of TechnologyBeijingChina
  6. 6.State Key Lab of Explosion Science and TechnologyBeijing Institute of TechnologyBeijingChina

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