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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
Gurney, R.: The initial velocities of fragments from bombs, shell, grenades. No. BRL 405 (1943)
Gurney, R., Sarmousakis, J.: The mass distribution of fragments from bombs, shell, and grenades. No. BRL 448 (1944)
Grady, D.E.: Local inertial effects in dynamic fragmentation. J. Appl. Phys. 53, 322–325 (1982)
Grady, D., Kipp, M.: Mechanisms of dynamic fragmentation: factors governing fragment size. Mech. Mater. 4, 311–320 (1985)
Glenn, L.A., Chudnovsky, A.: Strain-energy effects on dynamic fragmentation. J. Appl. Phys. 59, 1379–1380 (1986)
D. Grady, Fragmentation of Rings and Shells: The Legacy of N.F. Mott. Springer, Berlin (2006)
Niordson, F.I.: A unit for testing materials at high strain rates. Exp. Mech. 5, 29–32 (1965)
Walling, H.C., Forrestal, M.J.: Elastic-plastic expansion of 6061-t6 aluminum rings. AIAA J. 11, 1196–1197 (1973)
Grady, D., Benson, D.: Fragmentation of metal rings by electromagnetic loading. Exp. Mech. 23, 393–400 (1983)
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)
Gourdin, W.H.: Analysis and assessment of electromagnetic ring expansion as a high–strain–rate test. J. Appl. Phys. 65, 411–422 (1989)
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)
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)
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)
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)
Becker, R.: Ring fragmentation predictions using the gurson model with material stability conditions as failure criteria. Int. J. Solids Struct. 39, 3555–3580 (2002)
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)
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)
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)
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)
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)
Vitali, E., Benson, D.J.: Modeling localized failure with arbitrary Lagrangian Eulerian methods. Comput. Mech. 49, 197–212 (2012)
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)
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)
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Aydelotte, B. (2020). Numerical Study of Ring Fragmentation. In: Lamberson, L. (eds) Dynamic Behavior of Materials, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-30021-0_23
Download citation
DOI: https://doi.org/10.1007/978-3-030-30021-0_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-30020-3
Online ISBN: 978-3-030-30021-0
eBook Packages: EngineeringEngineering (R0)