Skip to main content
Log in

Estimation of a crater volume formed by impact of a projectile on a metallic target

  • Published:
International Journal of Mechanics and Materials in Design Aims and scope Submit manuscript

Abstract

The crater volume has been an important factor in ballistics and has many influences such as material strength, initial projectile velocity, angle of incidence, and nose shape. The goal of this research is to predict the resulting crater volume of a long rod penetration based on the initial projectile velocity and mass. Mooney’s (Bull Seism Soc Am 64(2):473, 1974) displacement equations were used to calculate the elastic crater volume for a given impulse force, P, varying as a delta function in time on the surface of an isotropic, semi-infinite solid. This estimated elastic volume, Velastic is linearly related to the experimental ballistic volume, Vexperimental by an “energy dissipation factor”, k. Velastic = kVexperimental. The energy dissipation factor “lumps” together elastic and plastic deformation mechanisms. Terminal ballistic data for a steel long-rod projectile into “semiinfinite” steel or aluminum target will be compared to the crater volume calculated through the use of k.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Billington, E.W., Carley, D.J.: Velocity dependence of impact parameters involved in long-rod penetrations into semi-infinite targets. Br. J. Appl. Phys. Ser 2. 2, 613 (1969)

    Google Scholar 

  • Christman, D.R., Gehring, J.W.: Semiannual report on penetration mechanisms of high-velocity projectiles. Report No. TR63-250, prepared for Ballistic Research Laboratories under Contract No. DA-04-495-AMC-123(R), GM Defense Research Laboratories, Santa Barbara, CA (1963)

  • Christman, D. R., Gehring, J.W.: Final report on penetration mechanisms of high velocity projectiles. Report No. TR65-50 prepared for Ballistic Research Laboratories under Contract No. DA-04-495-AMC-534(X), GM Defense Research Laboratories, Santa Barbara, CA (1965)

  • Eason, G.: The displacements produced in an elastic half-space by a suddenly applied surface force. J. Inst. Math. Appl. 2, 299 (1966)

    Article  MATH  MathSciNet  Google Scholar 

  • Forrestal, M.J., Brar, N.S., Luk, V.K.: Penetration of strain-hardening targets with rigid spherical-nose rods. J. Appl. Mech. 58, 7–10 (1991)

    Article  Google Scholar 

  • Hohler, V., Stilp, A.J.: Penetration of steel and high density rods in semi-infinite steel targets. Proceedings of the 3rd International Symposium on Ballistics. Karlsruhe, FRG, 23–25 March 1977

  • Hohler, V., Stilp, A.J.: Study of the penetration behavior of rods for a wide range of target densities. Proceedings of the 5th International Symposium on Ballistics. Toulouse, France, 16–18 April 1980

  • Hohler, V., Stilp, A.: Influence of the length-to-diameter ratio in the range from 1 to 32 on the penetration performance of rod projectiles. Proceedings of the 8th International Symposium on Ballistics. Orlando, FL, 23–25 October 1984

  • Hohler, V., Stilp, A.: Hypervelocity impact of rod projectiles with L/D from 1 to 32. Int. J. Impact Eng. 5(1-4), 323–331 (1987)

    Article  Google Scholar 

  • Herrmann, W., Jones, A.H.: Survey of hypervelocity impact information. A.S.R.L. Report No. 99–1 October 1961

  • Kausel, E.: Fundamental Solutions in Elastodynamics: A Compendium. Cambridge University Press, New York (2006)

    Google Scholar 

  • Lamb, H.: On the propagation of tremors over the surface of an elastic solid. Philos. Trans. R. Soc. Lond. Ser. A. 203, 1 (1904)

    Article  Google Scholar 

  • Luk, V. K., Piekutowski, A.J.: An analytical model on penetration of eroding long rods into metallic targets. Int. J. Impact Eng. 11(3), 323–340 (1991)

    Article  Google Scholar 

  • Mitra, M.: Disturbance produced in an elastic half-space by impulsive normal pressure. Proc. Camb. Phil. Soc. 60, 683 (1964)

    Article  MATH  Google Scholar 

  • Mooney, H. R.: Some numerical solutions for lamb’s problem. Bull. Seism. Soc. Am. 64(2), 473 (1974)

    Google Scholar 

  • Partridge, W.S., Vanfleet, H.B., Whited, C.R.: Crater formation in metallic targets. J. Appl. Phys. 29(9), 1332 (1958)

    Article  Google Scholar 

  • Pekeris, C.L.: The seismic surface pulse. Proc. Natl. Acad. Sci. 41, 469 (1955)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgements

We would like to thank Dr. Karen Wells and Los Alamos National Laboratory for supporting for this research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Kline.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kline, K., Sevostianov, I. & Parker, R. Estimation of a crater volume formed by impact of a projectile on a metallic target. Int J Mech Mater Des 4, 375–381 (2008). https://doi.org/10.1007/s10999-008-9061-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10999-008-9061-7

Keywords

Navigation