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Micro- and Nano-Roughness Separation Based on Fractal Analysis
Árpád Czifra1, Erzsébet Ancza2
1Institute of Mechanical Engineering and Technology, Óbuda University, 1034 Budapest, Hungary.
Materials (Basel, Switzerland)
|January 23, 2024
Summary
Researchers analyzed the fractal behavior of anodized aluminum brake plungers using advanced imaging techniques. They developed a new method to separate nano- and micro-roughness, revealing multifractal characteristics in real machine parts.
Area of Science:
- Surface Metrology
- Tribology
- Materials Science
Background:
- Characterizing the tribological behavior of technical surfaces requires detailed microtopographic analysis across various scales.
- Self-affine surface characterization using fractal dimensions is a common approach in tribological modeling.
- Existing methods often struggle to define the precise frequency ranges for fractal behavior in real-world components.
Purpose of the Study:
- To determine the frequency range of fractal behavior in the microtopography of anodized aluminum brake plungers.
- To investigate the presence of bifractal and multifractal behavior in actual machine parts.
- To develop a novel methodology for separating nano- and micro-roughness to better understand fractal characteristics.
Main Methods:
- Acquisition of microtopographic measurements using Atomic Force Microscopy (AFM) and a stylus instrument.
- Analysis of surface data across a wide frequency range (19 nm to 3 mm).
- Application of Power Spectral Density (PSD)-based fractal evaluation and a newly developed method for separating roughness scales.
Main Results:
- The power spectral density-based fractal evaluation indicated that the surface cannot be characterized by a single fractal dimension.
- A novel methodology was successfully developed to differentiate between nano- and micro-roughness based on geometric surface characteristics.
- The study confirmed the presence of multifractal behavior in the examined anodized aluminum brake plunger.
Conclusions:
- The developed methodology enables the separation of nano- and micro-roughness, facilitating a more nuanced investigation of multifractal surface behavior.
- This approach allows for the specific examination of how micro-geometry at different wavelength ranges relates to manufacturing processes and material structure.
- The findings provide a more accurate understanding of surface topography relevant to tribological performance in engineering components.

