Skip to main content
Log in

Numerical simulations of SHPB experiments for the dynamic compressive strength and failure of ceramics

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Complementary to a study of the compressive strength of ceramic as a function of strain rate and confinement, numerical simulations of the split-Hopkinson pressure bar (SHPB) experiments have been performed using the two-dimensional wave propagation computer program HEMP. The numerical effort had two main thrusts. Firstly, the interpretation of the experimental data relies on several assumptions. The numerical simulations were used to investigate the validity of these assumptions. The second part of the effort focused on computing the idealized constitutive response of a ceramic within the SHPB experiment. These numerical results were then compared against experimental data. Idealized models examined included a perfectly elastic material, an elastic-perfectly plastic material, and an elastic material with failure. Post-failure material was modeled as having either no strength, or a strength proportional to the mean stress. The effects of confinement were also studied. Conclusions concerning the dynamic behavior of a ceramic up to and after failure are drawn from the numerical study.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. U.S. Lindholm, in Techniques of Metals Research, 5(1), R.F. Bunshah (ed.), John Wiley & Sons, NY (1971) 199–271.

    Google Scholar 

  2. J. Lankford, C.E. Anderson, Jr., G.R. Johnson and T.J. Holmquist, unpublished experiments.

  3. L.D. Bertholf, Journal of Applied Mechanics (1974) 137–144.

  4. L.D. Bertholf and C.H. Karnes, Journal of Mechanics and Physics of Solids 23 (1975) 1–19.

    Article  Google Scholar 

  5. A. Lichtenberger, G. Gazeaud and E. Lach, Journal de Physique (1988) C3-589-C3-594.

  6. M.L. Wilkins, in Methods of Computational Physics, Vol. 3, B. Adler, S. Fernbach, and M. Rotenberg (eds.), Academic Press, NY (1964).

    Google Scholar 

  7. M.L. Wilkins, Calculation of Elastic-Plastic Flow, UCRL-7322, Rev. 1, Lawrence Livermore National Laboratory, Livermore, CA (1969).

    Google Scholar 

  8. C.E. AndersonJr., International Journal of Engineening 5 (1–4) (1987)33–59.

    Google Scholar 

  9. J.D. Walker, C.E. AndersonJr. and J. Lankford, in Shock Waves in Condensed Matter-1989, S.C. Schmidt, J.N. Johnson and L.W. Davison (eds.) North-Holland, Amsterdam (1990) 225–229.

    Google Scholar 

  10. H. Kolsky, Stress Waves in Solids, Dover Publications, Inc., N.Y. (1963).

    Google Scholar 

  11. C.E. Pearson, Theoretical Elasticity, Harvard Monographs in Applied Science, No. 6, Harvard University Press, Cambridge (1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anderson, C.E., O'Donoghue, P.E., Lankford, J. et al. Numerical simulations of SHPB experiments for the dynamic compressive strength and failure of ceramics. Int J Fract 55, 193–208 (1992). https://doi.org/10.1007/BF00032510

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00032510

Keywords

Navigation