Universal fragment size distribution in a numerical model of impact fracture

Hajime Inaoka and Hideki Takayasu

Physica A: Statistical Mechanics and its Applications, 1996, vol. 229, issue 1, 5-25

Abstract: We present detail analyses of a model of three-dimensional impact fracture process based on a competitive process of fragments. The model automatically creates a power-law fragment mass distribution without any tuning parameters. The exponent of the distribution shows very good agreement with the results in experiments of impact fragmentation. The universality of the distribution and a dimension analysis for the distribution based on the theorem of stable distribution are discussed.

Keywords: Impact fracture; Power-law distribution; Universality (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:229:y:1996:i:1:p:5-25

DOI: 10.1016/0378-4371(96)00048-9

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