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Packing Density of Composite Powder Mixtures
Author(s) -
Zok Frank,
Lange Fred F.,
Porter John R.
Publication year - 1991
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.1151-2916.1991.tb07803.x
Subject(s) - inclusion (mineral) , atomic packing factor , sphere packing , volume fraction , composite number , volume (thermodynamics) , materials science , particle (ecology) , binary number , close packing of equal spheres , ideal (ethics) , particle size , function (biology) , statistical physics , thermodynamics , mineralogy , mathematics , crystallography , geometry , physics , composite material , chemistry , philosophy , oceanography , arithmetic , epistemology , evolutionary biology , biology , geology
A model of particle packing in binary composite systems is developed. The effects of both inclusion surfaces and touching inclusions on the packing density are taken into account. To implement the model, a statistical approach is used to determine the number of inclusion contacts as a function of inclusion content. The statistical approach indicates that the average number of inclusion contacts is a linear function of the inclusion volume fraction, a result which agrees very well with independent computer simulations. The model suggests that the packing efficiency, defined by the ratio of the packing density to the ideal packing density (as originally derived by Furnas), is governed by the inclusion volume fraction ( f i ) and the particle to inclusion size ratio ( r ). Good agreement is obtained between the theory and experimental literature data.