Dynamic fragmentation of a two-dimensional brittle material with quenched disorder

J. Åström, Markku Kellomäki, Jussi Timonen

Research output: Contribution to journalArticleScientificpeer-review

27 Citations (Scopus)

Abstract

Fragmentation of a two-dimensional brittle material caused by a rapid impact has been analyzed. Computer simulations together with simple arguments are used to obtain a qualitative understanding of crack formation, which is then used to derive an exponential fragment size distribution valid in the large fragment size limit. In the limit of small fragments this distribution is solved numerically, and it is found to obey a scaling law with the exponent -1.5. These results suggest that two different mechanisms are operative in the fragmentation process: branching of propagating cracks determines the small fragment size limit, and merging of the nucleated cracks determines the large size limit. The point of crossover between these two regimes is also found to obey a scaling law.

Original languageEnglish
Pages (from-to)4757 - 4761
Number of pages5
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number4
DOIs
Publication statusPublished - 1997
MoE publication typeA1 Journal article-refereed

Fingerprint

Quenched Disorder
brittle materials
Brittle Materials
Fragmentation
Fragment
fragmentation
fragments
disorders
Crack
Scaling Laws
scaling laws
cracks
crack initiation
Branching process
Merging
Crossover
crossovers
Computer Simulation
computerized simulation
Exponent

Keywords

  • dynamics
  • fragmentation
  • brittle materials
  • embrittlement

Cite this

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abstract = "Fragmentation of a two-dimensional brittle material caused by a rapid impact has been analyzed. Computer simulations together with simple arguments are used to obtain a qualitative understanding of crack formation, which is then used to derive an exponential fragment size distribution valid in the large fragment size limit. In the limit of small fragments this distribution is solved numerically, and it is found to obey a scaling law with the exponent -1.5. These results suggest that two different mechanisms are operative in the fragmentation process: branching of propagating cracks determines the small fragment size limit, and merging of the nucleated cracks determines the large size limit. The point of crossover between these two regimes is also found to obey a scaling law.",
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Dynamic fragmentation of a two-dimensional brittle material with quenched disorder. / Åström, J.; Kellomäki, Markku; Timonen, Jussi.

In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 4, 1997, p. 4757 - 4761.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Dynamic fragmentation of a two-dimensional brittle material with quenched disorder

AU - Åström, J.

AU - Kellomäki, Markku

AU - Timonen, Jussi

PY - 1997

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AB - Fragmentation of a two-dimensional brittle material caused by a rapid impact has been analyzed. Computer simulations together with simple arguments are used to obtain a qualitative understanding of crack formation, which is then used to derive an exponential fragment size distribution valid in the large fragment size limit. In the limit of small fragments this distribution is solved numerically, and it is found to obey a scaling law with the exponent -1.5. These results suggest that two different mechanisms are operative in the fragmentation process: branching of propagating cracks determines the small fragment size limit, and merging of the nucleated cracks determines the large size limit. The point of crossover between these two regimes is also found to obey a scaling law.

KW - dynamics

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KW - brittle materials

KW - embrittlement

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