Abstract
Fractal dimension for the ductile fractured surface ruptured at the joint interface is investigated. The simple relationship between the fractal dimension and the dimple size frequency distribution function has been shown analytically as D=α/2. To validate the analytical relationship, the surface profiles of the dimple covered ductile surfaces are virtually formed and their fractal dimension values are calculated. The size distribution of the dimples contained in the formed surface profile is subjected to the power function of the dimple size. Those dimples are arranged randomly. The calculated fractal dimension has qualitatively similar tendency toward the exponent of the distribution function but quantitatively different values. The difference might suggest the necessity of some structure to arrange the dimples.
