Abstract
The reason that the ductile fracture surface bears the fractal characteristics is investigated. The dimple shape covering the ductile surface is assumed to the sinusoidal curve and the dimple size distribution density function is considered to be able to describe by the power of the dimple size. The connection of the exponent of the power law, α, and the fractal dimension of the surface profile, D , is described in the form of D = α/2. The validity of this formula is evaluated with the comparison of the experimentally obtained fractal dimension.
