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Fractal Dimensions of Model Particle Packings Having Multiple Generations of Agglomerates
Author(s) -
Onoda George Y.,
Toner John
Publication year - 1986
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1986.tb07375.x
Subject(s) - fractal dimension , agglomerate , fractal , fractal dimension on networks , euclidean geometry , simple (philosophy) , dimension (graph theory) , range (aeronautics) , particle (ecology) , statistical physics , mathematics , materials science , fractal analysis , geometry , mathematical analysis , physics , pure mathematics , geology , composite material , philosophy , oceanography , epistemology
We examine a simple model for a powder having multiple generations of agglomerates. Over the size range over which the generations span, this structure is shown to be fractal. An equation expressing the fractal dimension for any Euclidean dimension is derived.