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Numerical Study of Ring Fragmentation

  • Brady Aydelotte
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

The fragmentation of rings and shells is a topic of enduring interest both because of the interesting dynamic conditions under which it takes places and the practical importance of fragmentation to various military and industrial applications. Fragmentation is a complex process in which potential fracture sites interact with one another in a deforming body to form a population of fragments. The details of this process are important, and realistic models need to capture the essential features of this process in order to make accurate predictions.

In this work, computational modeling of fragmentation experiments involving Al 6061-0 rings is explored and compared with experimental data. The effect of the mesh description and resolution on modeling the fragmentation process will be examined. The effect of defect population and the manner in which it is applied in the model will also be explored.

Keywords

Cone crack Impact Indentation Ceramic Damage 

Notes

Acknowledgements

I gratefully acknowledge John Niederhaus and the rest of the ALEGRA development team (SNL) for their assistance in the use of ALEGRA in support of this work and feedback from Charles Randow (ARL). This work was supported in part by a grant of computer time from the Department of Defense High Performance Computing Modernization Program at ARL.

References

  1. 1.
    Mott, N.F.: Fragmentation of shell cases. In: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, vol. 189, pp. 300–308 (1947)CrossRefGoogle Scholar
  2. 2.
    Gurney, R.: The initial velocities of fragments from bombs, shell, grenades. No. BRL 405 (1943)Google Scholar
  3. 3.
    Gurney, R., Sarmousakis, J.: The mass distribution of fragments from bombs, shell, and grenades. No. BRL 448 (1944)Google Scholar
  4. 4.
    Grady, D.E.: Local inertial effects in dynamic fragmentation. J. Appl. Phys. 53, 322–325 (1982)CrossRefGoogle Scholar
  5. 5.
    Grady, D., Kipp, M.: Mechanisms of dynamic fragmentation: factors governing fragment size. Mech. Mater. 4, 311–320 (1985)CrossRefGoogle Scholar
  6. 6.
    Glenn, L.A., Chudnovsky, A.: Strain-energy effects on dynamic fragmentation. J. Appl. Phys. 59, 1379–1380 (1986)CrossRefGoogle Scholar
  7. 7.
    D. Grady, Fragmentation of Rings and Shells: The Legacy of N.F. Mott. Springer, Berlin (2006)CrossRefGoogle Scholar
  8. 8.
    Niordson, F.I.: A unit for testing materials at high strain rates. Exp. Mech. 5, 29–32 (1965)CrossRefGoogle Scholar
  9. 9.
    Walling, H.C., Forrestal, M.J.: Elastic-plastic expansion of 6061-t6 aluminum rings. AIAA J. 11, 1196–1197 (1973)CrossRefGoogle Scholar
  10. 10.
    Grady, D., Benson, D.: Fragmentation of metal rings by electromagnetic loading. Exp. Mech. 23, 393–400 (1983)CrossRefGoogle Scholar
  11. 11.
    Gourdin, W.H., Weinland, S.L., Boling, R.M.: Development of the electromagnetically launched expanding ring as a high-strain-rate test technique. Rev. Sci. Instrum. 60, 427–432 (1989)CrossRefGoogle Scholar
  12. 12.
    Gourdin, W.H.: Analysis and assessment of electromagnetic ring expansion as a high–strain–rate test. J. Appl. Phys. 65, 411–422 (1989)CrossRefGoogle Scholar
  13. 13.
    Zhang, H., Ravi-Chandar, K.: On the dynamics of necking and fragmentation – i. Real-time and post-mortem observations in al 6061-o. Int. J. Fract. 142(3), 183–217 (2006)CrossRefGoogle Scholar
  14. 14.
    Zhang, H., Ravi-Chandar, K.: On the dynamics of necking and fragmentation—ii. Effect of material properties, geometrical constraints and absolute size. Int. J. Fract. 150(1), 3–36 (2008)CrossRefGoogle Scholar
  15. 15.
    Han, J.-B., Tvergaard, V.: Effect of inertia on the necking behaviour of ring specimens under rapid radial expansion. Eur. J. Mech. A. Solids 14(2), 287–307 (1995)zbMATHGoogle Scholar
  16. 16.
    Pandolfi, A., Krysl, P., Ortiz, M.: Finite element simulation of ring expansion and fragmentation: the capturing of length and time scales through cohesive models of fracture. Int. J. Fract. 95, 279–297 (1999)CrossRefGoogle Scholar
  17. 17.
    Becker, R.: Ring fragmentation predictions using the gurson model with material stability conditions as failure criteria. Int. J. Solids Struct. 39, 3555–3580 (2002)CrossRefGoogle Scholar
  18. 18.
    Moxnes, J.F., Prytz, A.K., Frøyland, Ø., Skriudalen, S., Børve, S., Ødegårdstuen, G.: Strain rate dependency and fragmentation pattern of expanding warheads. Def. Technol. 11, 1–9 (2015)CrossRefGoogle Scholar
  19. 19.
    Meyer, H.W., Brannon, R.M.: A model for statistical variation of fracture properties in a continuum mechanics code. Int. J. Impact Eng. 42, 48–58 (2012)CrossRefGoogle Scholar
  20. 20.
    Johnson, G.R., Cook, W.H.: Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng. Fract. Mech. 21(1), 31–48 (1985)CrossRefGoogle Scholar
  21. 21.
    Meulbroek, J., Ramesh, K., Swaminathan, P., Lennon, A.: CTH simulations of an expanding ring to study fragmentation. Int. J. Impact Eng. 35(12), 1661–1665 (2008)CrossRefGoogle Scholar
  22. 22.
    Barton, P.T.: A level-set based Eulerian method for simulating problems involving high strain-rate fracture and fragmentation. Int. J. Impact Eng. 117, 75–84 (2018)CrossRefGoogle Scholar
  23. 23.
    Vitali, E., Benson, D.J.: Modeling localized failure with arbitrary Lagrangian Eulerian methods. Comput. Mech. 49, 197–212 (2012)MathSciNetCrossRefGoogle Scholar
  24. 24.
    Bova, S., Hansen, G., Labreche, D.A., Love, E., Luchini, C.B., Roberts, N.V., Robinson, A.C., Sanchez, J.J., Siefert, C., Voth, T.E., Carleton, J.C., Niederhaus, J.H.J., Drake, R.R., Hensinger, D.M., Kramer, R.M.J.: ALEGRA user manual. No. SAND2018-DRAFT (2018)Google Scholar
  25. 25.
    Johnson, G.R., Holmquist, T.J.: Test data and computational strength and fracture model constants for 23 materials subjected to large strains, high strain rates, and high temperatures. No. LA-11463-MS (1988)Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 2020

Authors and Affiliations

  • Brady Aydelotte
    • 1
  1. 1.US Army Research LaboratoryAberdeen Proving GroundAberdeenUSA

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