Relevance of roughness parameters for describing and modelling machined surfaces

Describing and modelling a machined surface require the selection of relevant roughness parameters. However, this selection is difficult since a machined surface morphology can be described by a large number of roughness parameters.This investigation focuses on the roughness of metallic surfaces taking for two applications: a) the description of machined surface morphologies produced by grinding b) the relationships between machined surface morphologies (grinding or cold-rolling) and their brightness level when irradiated by the white light beam of an optical glossmeter used for industrial surface quality control. For each application, the aim is to determine, from an objective quantitative point of view, the relevance of one hundred or so surface roughness parameters. To reach this objective, a specific software program has been developed to determine a ranking of relevance thanks to the calculation of a computed statistical index of performance.The statistical results of this study show that the fractal dimension estimated by an original method is the most relevant roughness parameter to describe the surface morphology after grinding or rolling. Because of this relevance, this roughness parameter has also to be taken into consideration in models showing the interactions between machined surfaces and an optical wave. The methodology presented in this study can be a useful tool in the quality control phase to keep under control the fabrication process parameters of manufactured objects in industrial environments.

[1]  U. Persson,et al.  Measurement of surface roughness on rough machined surfaces using spectral speckle correlation and image analysis , 1993 .

[2]  Claude Tricot,et al.  Fractals in Engineering , 1997 .

[3]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .

[4]  B. Nowicki.  Multiparameter representation of surface roughness , 1985 .

[5]  Franck Plouraboué,et al.  Multi-scale roughness transfer in cold metal rolling , 1999 .

[6]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[7]  J. Bryan,et al.  Scale-Sensitive Fractal Analysis of Turned Surfaces , 1996 .

[8]  Applicability of fractal concepts to surface roughness , 1996 .

[9]  Bharat Bhushan,et al.  Generalized fractal analysis and its applications to engineering surfaces , 1995 .

[10]  M. S. Bobji,et al.  Roughness Generated in Surface Grinding of Metals , 1999 .

[11]  L. He,et al.  The fractal character of processed metal surfaces , 1997 .

[12]  Patrick Callet.  Couleur-lumière couleur matière : interaction lumière-matière et synthèse d'images , 1998 .

[13]  Kim Seng Lee,et al.  A fractal surface and its measurement by computer simulation , 1995 .

[14]  S. Zucker,et al.  Evaluating the fractal dimension of profiles. , 1989, Physical review. A, General physics.

[15]  T. Thomas,et al.  Fractal characterisation of the anisotropy of rough surfaces , 1999 .

[16]  P. Blau,et al.  Assessment of techniques for characterizing the surface quality of ground silicon nitride , 1998, Journal of Materials Engineering and Performance.

[17]  Claude Tricot,et al.  Fractal analysis of worn surfaces , 1994 .

[18]  P. Beckmann,et al.  The scattering of electromagnetic waves from rough surfaces , 1963 .

[19]  F. F. Ling.  Fractals, engineering surfaces and tribology , 1990 .

[20]  Colin J. R. Sheppard,et al.  Scattering by fractal surfaces with an outer scale , 1996 .

[21]  Ge Shirong,et al.  Fractal prediction models of sliding wear during the running-in process , 1999 .

[22]  A. Majumdar,et al.  Fractal characterization and simulation of rough surfaces , 1990 .

[23]  Eckart Doege,et al.  Fractal Geometry Used for the Characterization of Sheet Surfaces , 1995 .

[24]  T. Vorburger,et al.  Regimes of surface roughness measurable with light scattering. , 1993, Applied optics.

[25]  C. A. Brown,et al.  Describing ground surface texture using contact profilometry and fractal analysis , 1991 .

[26]  Christopher A. Brown,et al.  Fractal analysis of topographic data by the patchwork method , 1993 .

[27]  Benoit B. Mandelbrot,et al.  Les objets fractals : forme, hasard et dimension , 1989 .

[28]  M. Korn.  Seismic waves in random media , 1993 .

[29]  C. Roques-carmes,et al.  Fractal approach to two-dimensional and three-dimensional surface roughness , 1986 .