Abstract
This article describes microscale surface modeling using the Non-Uniform Rational B-Spline (NURBS) surface interpolation technique. A three-dimensional surface model was generated on the basis of measured surface profile data. To validate this model, three brass specimens having different roughness values were used. Direct comparison between measured profiles and the curves modeled with NURBS was employed. It was identified that the proposed method allows the generation of microscale models similar to actual surfaces. Finally, a method to extract the Bearing Area Curve (BAC) from a 3D model was detailed. The proposed modeling will be useful for the characterization of bearing capacity of the surface and for contact analysis.
Highlights
Surface roughness is an important parameter of friction and wear
Three brass specimens were used with different roughness values
Surface roughness was measured with a commercial surface profiler (SJ-210, Mitutoyo, Japan)
Summary
Surface roughness is an important parameter of friction and wear. In order to evaluate friction and wear, it is necessary to understand the topography of a contact surface. Modeling of surface topography has been developed with several methods, including the statistical approach and the fractal approach. The pioneer of the numerical statistical approach is the GW model proposed by Greenwood and Williamson [1] This model describes all asperities as a hemispherical shape that maintains the same curvature. Standard deviation (σ), and spacing parameters such as peak density (Np ) and zero crossing density (N0 ) These methods allow fast and simple modeling of surface topography. Majumdar and Bhushan, and Majumdar and Tien proposed fractal models using self-affinity characteristics of an actual surface [6,7] This model uses parameters with independent length scales such as fractal dimension. In order to overcome the limitations of fractal and statistical approaches, methods using measured data were developed [11,12,13]. Bearing Area curves (BAC) were drawn from the three-dimensional model
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