Quantitative characterization of surface topography using spectral analysis
arXiv:1607.03040 · doi:10.1088/2051-672X/aa51f8
Abstract
Roughness determines many functional properties of surfaces, such as adhesion, friction, and (thermal and electrical) contact conductance. Recent analytical models and simulations enable quantitative prediction of these properties from knowledge of the power spectral density (PSD) of the surface topography. The utility of the PSD is that it contains statistical information that is unbiased by the particular scan size and pixel resolution chosen by the researcher. In this article, we first review the mathematical definition of the PSD, including the one- and two-dimensional cases, and common variations of each. We then discuss strategies for reconstructing an accurate PSD of a surface using topography measurements at different size scales. Finally, we discuss detecting and mitigating artifacts at the smallest scales, and computing upper/lower bounds on functional properties obtained from models. We accompany our discussion with virtual measurements on computer-generated surfaces. This discussion summarizes how to analyze topography measurements to reconstruct a reliable PSD. Analytical models demonstrate the potential for tuning functional properties by rationally tailoring surface topography - however, this potential can only be achieved through the accurate, quantitative reconstruction of the power spectral density of real-world surfaces.
30 pages, 7 figures, 1 table, 86 references
References in corpus (3)
- On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion
- A fretting crack initiation prediction taking into account the surface roughness and the crack nucleation process volume
- Roughness corrections to the Casimir force: The importance of local surface slope