Elastic-cracked model for penetration into unreinforced concrete targets with ogival nose projectiles

Y. Xu*, L. M. Keer, V. K. Luk

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


In this research an elastic-cracked model for determining the forces on an ogival nose projectile is developed to estimate the resistance to penetration into an unreinforced concrete target. The model developed is guided by the post-test observation that concrete will crack in the region surrounding the projectile. In this model the spherical cavity expansion approximation is extended by assuming a cracked region and an elastic region to simulate penetration into an unreinforced concrete target. Thus, an elastic-cracked model is developed here for predicting the resistance to penetration, where it is assumed that the interface of the cracked region and elastic region, which satisfies the Hugoniot jump conditions, is controlled by the radial compressive strength p0. Solutions that determine the boundary for the elastic region for both incompressible and compressible cases are given. A calculation shows that the incompressible solution is of first-order for the compressive solution when Poisson's ratio equals 0.5. The resistance to penetration depends on the following factors of the concrete target : Poisson's ratio v, locked volumetric strain η*, strength of the material and velocity V. The present model predictions of depth of penetration appear to be in good agreement with existing experimental measurements that involve a steel projectile penetrating a thick, unreinforced concrete slab at normal incidence.

Original languageEnglish (US)
Pages (from-to)1479-1491
Number of pages13
JournalInternational Journal of Solids and Structures
Issue number12
StatePublished - Apr 1997

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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