Research on Fractal Features in Milling ZrO2 Ceramics

Jianxun Xue*, 1, 2, Lulin An1, Quanping Sun2
1 College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016, P.R. China
2 Lab of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huaian, Jiangsu, 223003, P.R. China

© 2015 Xue et al

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


In order to study the fractal features of the tool profile of worn surface and cutting force during the process of cutting hard brittle materials such as ceramics, the milling experiments of ZrO2 were carried out. The images of worn surface and cutting force were collected and preprocessed with digital image processing technology and phase space reconstruction method. Then the fractal dimensions were calculated and the change regularity was analyzed. The research findings show that the fractal dimension of worn surface is affected by wear rates and machining time, and can be different while the wear loss is same. The fractal dimension of cutting force oscillates with a high-low-high general trend.

Keywords: Capacity dimension, correlation dimension, tool wear, zirconia.