Sz. Lu et A. Hellawell, AN APPLICATION OF FRACTAL GEOMETRY TO COMPLEX MICROSTRUCTURES - NUMERICAL CHARACTERIZATION OF GRAPHITE IN CAST IRONS, Acta metallurgica et materialia, 42(12), 1994, pp. 4035-4047
It is demonstrated how the complexities of graphite shapes and distrib
utions in cast irons can be described by fractal geometry. A selection
of typical graphite morphologies, flake-like and spherulitic, is desc
ribed unambiguously by two numbers, a shape factor, a, and fractal exp
onent, D. The meaning of these numbers is discussed and their possible
correlations with growth kinetics and mechanical properties are brief
ly explored.