Self similar particle distribution in particulate ceramic matrix composites I: Theoretical background and computer implementation

Arnaud Cottet, Erian A. Armanios and Arun M. Gokhale

Chaos, Solitons & Fractals, 2008, vol. 37, issue 3, 719-732

Abstract: This work presents a self-similar distribution of particles in a particulate reinforced ceramic composite. A set of fractal microstructures is generated by the Iterated Functions Systems. Nearest neighbors distribution and radius distribution are performed for each microstructure. The self-similar models are compared with the model obtain by the Yang Teriari Gokhale method that produce non-uniform microstructure. The proposal shows that the fractal dimension can be related to the average radius of circular particle in special cases.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:3:p:719-732

DOI: 10.1016/j.chaos.2006.09.054

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