Skip to main content

Computational Modelling of Fragmentation and Penetration of Ceramic Plates

  • Conference paper
Computational Mechanics ’95
  • 25 Accesses

Abstract

The development of improved ballistic armor and projectiles is an intensive and ever-continuing activity. Numerical simulations constitute a potentially useful tool for the prediction of the performance of armor/projectile designs (see Anderson and Bodner [1] for an overview). A variety of ceramics are presently being evaluated as candidate armor materials, as they possess an attractive combination of high hardnesses and low densities. However, brittleness can result in catastrophic failure in the form of extensive cracking, fragmentation and comminution. These failure mechanisms have been documented experimentally (e. g., Shockey et al. [2], Woodward et al. [3]), and modelled variously (e. g., Walter [4], Rajendran [5]). Current approaches are largely based on continuum theories of elastic damage and strength which smear out the evolving microstructures. In addition, models of fragmentation have commonly been based on simple energy balance concepts (Grady and Kipp [6]).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, C. and Bodner, J. “Ballistic Impact: The Status of Analytical and Numerical Modelling,” Int. J. Impact Eng, 7 (1988) 9–35.

    Article  Google Scholar 

  2. D. A. Shockey, A. H. Marchand, S. R. Skaggs, G. E. Cort, M. W. Burkett and R. Parker, “Failure Phenomenology of Confined Ceramic Targets and Impacting Rods,” Int. J. Impact Eng., 9 (1990) 263–275.

    Article  Google Scholar 

  3. Woodward, R. L., Gooch, W. A., O’Donnell, R. G., Perciballi, W. J., Baxter, B. J. and Pattie, S. D. “A Study of Fragmentation in the Ballistic Impact of Ceramics,” Int. J. Impact Eng., 15 (1994) 605–618.

    Article  Google Scholar 

  4. Walter, J. (ed.), Material Modeling for Terminal Ballistic Simulation, Technical Report BRL-TR-3392, U.S. Army Ballistic Research Laboratory, Maryland, 1992.

    Google Scholar 

  5. A. M. Rajendran, “Modeling the Impact Behavior of AD85 Ceramic under Multiaxial Loading,” Int. J. Impact Eng., 15 (1994)..

    Google Scholar 

  6. Grady, D. E. and Kipp, M. E., “Dynamic Fracture and Fragmentation,” in: J. R. Asay and M. Shahinpoor (eds.) High-Pressure Shock Compression of Solids, Springer-Verlag, New York, (1993) 265–322.

    Chapter  Google Scholar 

  7. Camacho, G. T. and Ortiz, M. “Computational Modelling of Impact Damage of Brittle Materials,” in preparation (1995).

    Google Scholar 

  8. Belytschko, T., “An Overview of Semidiscretization and Time Integration Procedures,” in: T. Belytschko and T. J. R. Hughes (eds.), Computational Methods for Transient Analysis, North-Holland (1983) 1–65.

    Google Scholar 

  9. Taylor, L. and Flanagan, D., “PRONTO 2D: A Two-Dimensional Transient Solid Dynamics Program,” Sandia National Laboratories, SAND86–0594, 1987.

    Google Scholar 

  10. Park, K. C. and Felippa, C. A., “Partitioned Analysis of Coupled Systems,” in: T. Belytschko and T. J. R. Hughes (eds.), Computational Methods for Transient Analysis, North-Holland (1983) 157–219.

    Google Scholar 

  11. Lemonds, J. and Needleman, A. “Finite Element Analysis of Shear Localization in Rate and Temperature Dependent Solids,” Mechanics of Materials, 5 (1986) 339–361.

    Article  Google Scholar 

  12. Cuitiño, A. M. and Ortiz, M., “A Material-Independent Method for Extending Stress Update Algorithms from Small-Strain Plasticity to Finite Plasticity with Multiplicative Kinematics,” Engineering Computations, 9 (1992) 437–451.

    Article  Google Scholar 

  13. Zhou, M., Clifton, R. J. and Needleman, A., “Shear Band Formation in a W-Ni-Fe Alloy under Plate Impact,” Tungsten & Tungsten Alloys- 1992, Metal Powder Industries Federation, Princeton, N.J.

    Google Scholar 

  14. Marusich, T. D. and Ortiz, M. “Modelling and Simulation of High-Speed Machining,” Internat. J. Num. Methods Engrg. Submitted for Publication (1994).

    Google Scholar 

  15. Curran, D. R., Seaman, L. and Shockey, D. A. “Dynamic Failure of Solids,” Physics Reports, 147 (1987) 253–388.

    Article  Google Scholar 

  16. Ortiz, M. and Suresh, S. “Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials,” J. of Appl. Meek, 60 (1993) 77–84.

    Article  Google Scholar 

  17. Ortiz, M. “Microcrack Coalescence and Macroscopic Crack Growth Initiation in Brittle Solids,” Int. J. Solids Structures, 5 (1988) 231–250.

    Article  Google Scholar 

  18. Ortiz, M. and Popov, E. P., “A Physical Model for the Inelasticity of Concrete,” Proc. R. Soc. Lond., A 383 (1982) 101–125.

    Google Scholar 

  19. Peraire, J., Vahdati, M., Morgan, K. and Zienkiewicz, O. C., “Adaptive Remeshing for Compressible Flow Computations,” J. Comp. Phys. 72 (1987) 449–466.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Camacho, G.T., Ortiz, M. (1995). Computational Modelling of Fragmentation and Penetration of Ceramic Plates. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_328

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-79654-8_328

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics