AVS 63rd International Symposium & Exhibition
    Tribology Focus Topic Wednesday Sessions
       Session TR+AS+NS+SS-WeA

Paper TR+AS+NS+SS-WeA11
Applying Analytical Roughness Models to Real Surfaces: Reconstructing the Power Spectral Density from Surface Topography Measurements

Wednesday, November 9, 2016, 5:40 pm, Room 101A

Session: Nanoscale Wear: Applications to Nanometrology and Manufacturing
Presenter: Tevis Jacobs, University of Pittsburgh
Authors: T.D.B. Jacobs, University of Pittsburgh
A. Gujrati, University of Pittsburgh
S.R. Khanal, University of Pittsburgh
T. Junge, Karlsruhe Institute of Technology (KIT), Germany
L. Pastewka, Karlsruhe Institute of Technology (KIT), Germany
Correspondent: Click to Email

Surface topography is a critical factor for optical, mechanical, and tribological properties of materials. Many studies report single scalar roughness parameters that contain information over just a limited range of wavelengths. Analytical models of roughness have shown in recent years that properties such as stiffness, adhesion, and friction depend on the nature of roughness across many length scales. The power spectral density (PSD) is the mathematical instrument that provides a description of surface roughness as a function of scale. A truly quantitative analysis of surface roughness in terms of the PSD is necessary to validate and apply these analytical roughness models. However, this is currently limited by: (A) inconsistencies in the way that the quantitative PSD is computed; (B) bandwidth-limits of conventional surface metrology; and (C) instrumental artifacts at the smallest scales. Here, we demonstrate these limitations – first, by comparing the various forms of the PSD, then by computing the PSDs both for simulated and experimental surfaces.

We show that experimentally-determined PSDs suffer three types of systematic error, each of which will hinder quantitative comparison to models. We demonstrate strategies for detection and mitigation of these artifacts, to ensure accurate and reliable PSDs. A novel web-based application has been created and made available for general use which computes accurate PSDs and assesses the limits of their reliability. This enables the application of analytical roughness models to calculate upper and lower bounds of surface properties.

Finally, we report on the roughness characterization of an ultrananocrystalline diamond (UNCD) surface over the range from Angstroms to centimeters. This range of characterization enables quantitative comparison with rough-surface adhesion models. By elucidating experimental barriers to accurate surface characterization, and by demonstrating solutions to these barriers, this work facilitates the application of analytical roughness models to real-world surfaces – both to predict and tailor surface properties.