An Approach for Accurate Measurement of Fractal Dimension Distribution on Fracture Surfaces

Abstract

The paper describes a new approach to measuring the box-counting fractal dimension of surfaces based on making cuts and using the walking divider method with an improvement. The method is applied on a surface created by the fracture of an artificial composite. It is usable for accurate estimation of fractal dimension of flatter surfaces for which it is necessary to measure with small deviation. It also allows the discovery of the dimension distribution along the surface.