Abstract
The origin of fractal characteristics of the ductile fractured surface is investigated. The dimples covering the ductile fractured surface are considered as the elements to form the fractal geometry. And the relationship of the dimple size distribution on the ductile fractured surface and its fractal dimension is investigated. Under the assumption that the distribution density function of dimple size on the ductile surface is subjected to the power law of the dimple size, and that a dimple has the cosine curve shape, the formulation of fractal dimension described with the term of the exponent of the power law distribution density function. Experimentally the relationship is confirmed for the fractured surface of cupper brazed steel joint, which has the feature ductile fractured surface without too large deformation. The result of this researc h could contribute to make clear the generating process of dimple covered ductile surface.
