Applied Fractal Geometry In Impact Pulverisation

The degree of fragmentation of dispersed systems of brittle materials such as pulverised rock has been described by a fractal dimension i.e. the fragmentation fractal. This fractal dimension represents a power law size-frequency distribution, where, in this case, the size is defined as the square root of the projected area. The existence of a fractal dimension for the number-size distribution, of the progeny of failure event, is direct evidence for scale invariance of the fragmentation process. Since a fractal dimension infers that failure mechanisms operate on all scales it has been suggested that the fractal dimension is a measure of the fracture resistance properties of materials during fragmentation. In order to investigate this a range of rocks of varying fracture toughness were broken under similar levels of impact velocity in the dynamic tensile failure of single particles. The fragmentation fractals determined from the resultant particle populations, of the breakage experiments, were monitored and are discussed.