Dynamic fragmentation of ceramics, signature of defects and scaling of fragment sizes

Journal of the Mechanics and Physics of Solids

Volumn 58, Issue 1, 2010, Pages 12-26

  Levy, S ^a   Molinari, J F ^a  

^a EPFL   (Switzerland)

Author keywords

Average fragment size; Dynamic fragmentation; Expanding ring; Finite element simulations; Statistical distribution of defects

Indexed keywords

AVERAGE FRAGMENT SIZE; DYNAMIC FRAGMENTATION; EXPANDING RING; FINITE ELEMENT SIMULATIONS; STATISTICAL DISTRIBUTION OF DEFECTS;

STRUCTURAL CERAMICS;

CRACKS;

EID: 70350619868     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2009.09.002     Document Type: Article

References (30)

1. Camacho G.T., and Ortiz M. Computational modelling of impact damage in brittle materials. International Journal of Solids and Structures 33 20-22 (1996) 2899-2938
2. Drugan W.J. Dynamic fragmentation of brittle materials: analytical mechanics-based models. Journal of the Mechanics and Physics of Solids 49 6 (2001) 1181-1208
3. Englman R., Rivier N., and Jaeger Z. Fragment-Size distribution in disintegration by maximum-entropy formalism. Philosophical Magazine B-Physics of Condensed Matter Statistical Mechanics Electronic Optical and Magnetic Properties 56 (1987) 751-769
4. Espinosa H.D., Zavatierri P.D., and Dwivedi S.K. A finite deformation continuum discrete model for the description of fragmentation and damage in brittle materials. Journal of the Mechanics and Physics of Solids 46 (1998) 1909-1942
5. Glenn L.A., and Chudnovsky A. Strain-energy effects on dynamic fragmentation. Journal of Applied Physics 59 4 (1986) 1379-1380
6. Grady D.E. Local inertial effects in dynamic fragmentation. Journal of Applied Physics 53 1 (1982) 322-325
7. Grady D.E. The spall strength of condensed matter. Journal of the Mechanics and Physics of Solids 36 3 (1988) 353-384
8. Grady D.E. Comparison of hypervelocity fragmentation and spall experiments with tuler-butcher spall and fragment size criteria. International Journal of Impact Engineering 33 (2006) 305-315
9. Grady D.E. Fragment size distributions from the dynamic fragmentation of brittle solids. International Journal of Impact Engineering 35 (2008) 1557-1562
10. Grady D.E. Dynamic fragmentation of solids. Shock Wave Science and Technology Reference Library vol. 3 (2009), Springer, Berlin, Heidelberg (Chapter)
11. Hild F., Denoual C., Forquin P., and Brajer X. On the probabilistic-deterministic transition involved in a fragmentation process of brittle materials. Computers and Structures 81 12 (2003) 1241-1253
12. Holian B.L., and Grady D.E. Fragmentation by molecular dynamics: the microscopic "big bang". Physical Review Letters 60 14 (1988) 1355-1358
13. Hughes T. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (2000), Dover Publications, New York
14. Kraft R.H., Molinari J.F., Ramesh K.T., and Warner D.H. Computational micromechanics of dynamic compressive loading of a brittle polycrystalline material using a distribution of grain boundary properties. Journal of the Mechanics and Physics of Solids 56 8 (2008) 2618-2641
15. Leadbetter M.R., Lindgren G., and Rootzén H. Extremes and Related Properties of Random Sequences and Processes. Springer Series in Statistics (1983), Springer, Berlin
16. Maiti S., Rangaswamy K., and Geubelle P.H. Mesoscale analysis of dynamic fragmentation of ceramics under tension. Acta Materialia 53 3 (2005) 823-834
17. Mott, N.F., 1943. Fragmentation of h.e. shells: a theoretical formula for the distribution of weights of fragments. United Kingdom Ministry of Supply, AC3642, March.
18. Mott, N.F., Linfoot, E.H., 1943. Ministry of Supply. AC 3348, January.
19. Paliwal B., and Ramesh K.T. An interacting micro-crack damage model for failure of brittle materials disorder effects in dynamic fragmentation of brittle materials. Journal of the Mechanics and Physics of Solids 56 (2008) 896-923
20. Raghupathy, R., Gazonas, G.A., Molinari, J.F., Zhou, F., 2006. Numerical convergence of the cohesive element approach in dynamic fragmentation simulations. In: Shock Compression of Condensed Matter, American Institute of Physics Conference Series, vol. 845, July, pp. 654-657.
21. Rosin P., and Rammler E. The laws governing the fineness of powdered coal. Journal of the Institute of Fuel 7 (1933) 29-36
22. Ryan E.V. Asteroid fragmentation and evolution of asteroids. Annual Review of Earth and Planetary Sciences 28 (2000) 367-389
23. Shenoy V.B., and Kim K.S. Disorder effects in dynamic fragmentation of brittle materials. Journal of the Mechanics and Physics of Solids 51 (2003) 2023-2035
24. Tuler F.R., and Butcher B.M. A criterion for the time dependence of dynamic fracture. International Journal of Fracture 4 4 (1968) 431-437
25. Weibull, W., 1939. A statistical theory of strength of materials. In: Proceedings of the Ingeniors Vetenskapsakad, p. 151.
26. Wittel F.K., Kun F., Herrmann H.J., and Kroplin B.H. Breakup of shells under explosion and impact. Physical Review E 71 1 (2005) 016108
27. Zhou F., Molinari J.F., and Ramesh K.T. A cohesive model based fragmentation analysis: effects of strain rate and initial defects distribution. International Journal of Solids and Structures 42 (2005) 5181-5207
28. Zhou F., Molinari J.F., and Ramesh K.T. Analysis of the brittle fragmentation of an expanding ring. Computational Materials Science 37 1-2 (2006) 74-85
29. Zhou F., Molinari J.F., and Ramesh K.T. Analysis of the brittle fragmentation of an expanding ring. Computational Materials Science 37 1-2 (2006) 74-85
30. Zhou F., Molinari J.F., and Ramesh K.T. Effects of material properties on the fragmentation of brittle materials. International Journal of Fracture 139 2 (2006) 169-196