Abstract
Using the fractal concept, the energy E required for the size reduction of a solid is explained by a Fractal-Rittinger equation dE/d (dp) ∝ dpD-4, where dp is particle diameter, and D is the fractal dimension ranging from 2 to 3. Lewis' and Holmes' equation, which is generally applicable to the comminution of solid material but when the physical meaning of the parameters is uncertain, is involved in the Fractal-Rittinger equation with the fractal dimension of the surface of the size-reduced material.
The fractal dimensions calculated from the literature values of the exponents in Lewis' and Holmes' empirical equations agree well with those experimentally obtained for the corresponding materials.
