Scaling behavior of fragment shapes

F. Kun, F. K. Wittel, H. J. Herrmann, B. H. Kröplin, K. J. Måløy

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We present an experimental and theoretical study of the shape of fragments generated by explosive and impact loading of closed shells. Based on high speed imaging, we have determined the fragmentation mechanism of shells. Experiments have shown that the fragments vary from completely isotropic to highly anisotropic elongated shapes, depending on the microscopic cracking mechanism of the shell. Anisotropic fragments proved to have a self-affine character described by a scaling exponent. The distribution of fragment shapes exhibits a power-law decay. The robustness of the scaling laws is illustrated by a stochastic hierarchical model of fragmentation. Our results provide a possible improvement of the representation of fragment shapes in models of space debris.

Original languageEnglish
Article number025504
JournalPhysical Review Letters
Volume96
Issue number2
DOIs
Publication statusPublished - Jan 20 2006

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fragments
scaling
fragmentation
space debris
scaling laws
high speed
exponents
decay

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Kun, F., Wittel, F. K., Herrmann, H. J., Kröplin, B. H., & Måløy, K. J. (2006). Scaling behavior of fragment shapes. Physical Review Letters, 96(2), [025504]. https://doi.org/10.1103/PhysRevLett.96.025504

Scaling behavior of fragment shapes. / Kun, F.; Wittel, F. K.; Herrmann, H. J.; Kröplin, B. H.; Måløy, K. J.

In: Physical Review Letters, Vol. 96, No. 2, 025504, 20.01.2006.

Research output: Contribution to journalArticle

Kun, F, Wittel, FK, Herrmann, HJ, Kröplin, BH & Måløy, KJ 2006, 'Scaling behavior of fragment shapes', Physical Review Letters, vol. 96, no. 2, 025504. https://doi.org/10.1103/PhysRevLett.96.025504
Kun F, Wittel FK, Herrmann HJ, Kröplin BH, Måløy KJ. Scaling behavior of fragment shapes. Physical Review Letters. 2006 Jan 20;96(2). 025504. https://doi.org/10.1103/PhysRevLett.96.025504
Kun, F. ; Wittel, F. K. ; Herrmann, H. J. ; Kröplin, B. H. ; Måløy, K. J. / Scaling behavior of fragment shapes. In: Physical Review Letters. 2006 ; Vol. 96, No. 2.
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