Journal article
Mechanical fragmentation, Voronoi polyhedra and the theory of information
Materials chemistry and physics, Vol.12(6), pp.499-505
01 Jan 1985
Abstract
Objects which can undergo mechanical fragmentation are composed of all kinds of materials and comprise the entire span of sizes from celestial bodies to particles with initial sizes of a few mm. The problem has been treated theoretically by Mott, by a Monte Carlo simulation of the Voronoi diagram by Kiang, and also experimentally. Taking an essential element from the Mott formalism, we use the theory of information to derive an equation for the distribution of fragment masses. The result is equivalent to a distribution which follows from Mott's work. In contrast to earlier work, the relation is general since no specific assumptions have been made as to the nature of the fragmented material or with respect to its ductility (or lack of it). Reasons why the Monte Carlo results differ from the present ones are explained.
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Details
- Title
- Mechanical fragmentation, Voronoi polyhedra and the theory of information
- Creators
- Witold Brostow - Drexel UniversityHarry C. Rogers - Drexel University
- Publication Details
- Materials chemistry and physics, Vol.12(6), pp.499-505
- Publisher
- Elsevier B.V
- Number of pages
- 7
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Materials Science and Engineering
- Web of Science ID
- WOS:A1985AKP0900001
- Scopus ID
- 2-s2.0-0022077540
- Other Identifier
- 991022064710304721