The application of fractal analysis to the description of brushed steel surfaces
Paweł Karolczak 1  
,   Maciej Kowalski 1  
,   Katarzyna Raszka 1  
More details
Hide details
Department of Machine Tools and Mechanical Engineering Technologies, Wroclaw University of Science and Technology, Poland
Paweł Karolczak   

Department of Machine Tools and Mechanical Engineering Technologies, Wroclaw University of Science and Technology, Poland
Submission date: 2020-10-19
Final revision date: 2020-11-10
Acceptance date: 2020-11-18
Online publication date: 2020-11-29
Publication date: 2020-12-18
Journal of Machine Engineering 2020;20(4):99–115
The notion of fractals and the possibility of exploiting them in surface engineering are discussed. The fractal dimension problem is addressed and basic information relating to brushing and roughness parameters is provided. The results of tests on specimens in the form of structural steel (S275J0) plates subjected to brushing are presented. The machining was conducted using an FWD 32J milling machine with a GE 950 G PLUS straight grinder together with an A11-CB15M brush mounted on it. On the basis of the test results an analysis of selected roughness parameters, with the focus on the different degrees of correlation between the particular indicators and the fractal dimension, was carried out.
WIECZOROWSKI M., 2009, The Use of Topographic Analysis in the Measurement of Surface Roughness, Wydawnictwo Politechniki Poznańskiej, (in Polish).
GAWLIK J., MAGDZIARCZYK W., WOJNAR L., 2011, Fractal Analysis of the Geometric Structure of the Surface, Komputerowo Zintegrowane Zarządzanie. T. 2 ,Ofic. Wydaw. Polskiego Towarzystwa Zarządzania Produkcją, 382–396, (in Polish).
KUDREWICZ J., 2015, Fractals and chaos, Warszawa: Wydawnictwo WNT, (in Polish).
PEITGEN H.O., JURGENS H., SAUPE D., 1995, Limits of Chaos: Fractals, Part 1, Wydawnictwo Naukowe PWN, (in Polish).
ZHANG X., ZHENG G., CHENG X., LI Y., LI L., LIU H., 2020, 2D Fractal Analysis of the Cutting Force and Surface Profile in Turning of Iron-Based Superalloy, Measurement, 151, 107125.
GRZESIK W., BROL S., 2009, Wavelet and Fractal Approach to Surface Roughness Characterization after Finish Turning of Different Workpiece Materials, Journal of Materials Processing Technology, 209, 2522–2531.
KANG M.C., KIM J.S., KIM K.H., 2005, Fractal Dimension Analysis of Machined Surface Depending on Coated Tool Wear, Surface & Coatings Technology 193, 259– 265.
PAPANIKOLAOU M., SALONITIS K., 2019, Fractal Roughness Effects on Nanoscale Grinding, Applied Surface Science, 467–468, 309–319.
ZHAO B., LI P., ZHAO C., WANG X., 2020, Fractal Characterization of Surface Microtexture of Ti6Al4V Subjected to Ultrasonic Vibration Assisted Milling, Ultrasonics, 102, 106052.
WEI S., ZHAOA H., JING J., 2015, Investigation on Three-Dimensional Surface Roughness Evaluation of Engineering Ceramic for Rotary Ultrasonic Grinding Machining, Applied Surface Science, 357, 139–146.
LI G., ZHANG K., GONG J., JIN X., 2019, Calculation Method for Fractal Characteristics of Machining Topography Surface Based of Wavelet Transform, Procedia CIRP, 79, 500–504.
EL-SONBATY I.A., KHASHABA U.A., SELMY A.I., ALI A.I., 2008, Prediction of Surface Roughness Profiles for Milled Surfaces Using an Artificial Neural Network and Fractal Geometry Approach, Journal of Materials Processing Technology, 200, 271–278.
SAŁACIŃSKI T., PAJĄK P., 2015, Ceramic Tools for Surface Finish Deburring and Polishing Operations, Mechanik, 10, 762–765, (in Polish).
PN-EN ISO 4287-1999, Product Geometry Specifications. Geometric Structure of the Surface: Profile Method – Terms, Definitions and Parameters of the Structure, Polski Komitet Normalizacyjny, (in Polish).
ADAMCZAK S., 2008, Geometric Measurements of the Surface: Shape Outlines, Wavy and Roughness, Warszawa: Wydawnictwa Naukowo-Techniczne, (in Polish).