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

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.