Fractal characterisation of the anisotropy of rough surfaces

Wear

Volumn 232, Issue 1, 1999, Pages 41-50

  Thomas, T R ^a   Rosen B G ^a   Amini, N ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Anisotropy; Bifractal; Roughness; Topothesy

Indexed keywords

SURFACE ROUGHNESS;

ANISOTROPY; FRACTALS; SURFACE ROUGHNESS;

BIFRACTAL STRUCTURE FUNCTION; TOPOTHESY;

WEAR OF MATERIALS;

EID: 0033237775     PISSN: 00431648     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0043-1648(99)00128-3     Document Type: Article

References (47)

1. H. Dagnall, Exploring Surface Texture, Rank Taylor Hobson, Leicester, 1980.
2. BS 1134, Part 1. Assessment of Surface Texture: Methods and Instrumentation, British Standards Institution, London, 1988.
3. ISO/DIS 13565-3, Surface Texture (Profile Method) - Characterisation of Surfaces Having Stratified Functional Properties: Part 3. Height Characterisation Using the Material Probability Curve of Surfaces Consisting of Two Vertical Random Components, ISO, Geneva, 1995.
4. Bush A.W., Gibson R.D., Keogh G.P. Strongly anisotropic rough surfaces. Trans. ASME J. Lubr. Technol. 101:1979;15-20.
5. J. Wallach, J.K. Hawley, H.B. Moore, F.V. Rathbun, L.G. Gitzendanner, Calculation of leakage between metallic sealing surfaces, ASME Paper 68-LUB-15, 1968.
6. Boudreau B.D., Raja J. Analysis of lay characteristics of three-dimensional surface maps. International Journal of Machine Tools and Manufacture. 32:1992;171-177.
7. Kubo M., Peklenik J. An analysis of micro-geometrical isotropy for random surface structures. Ann. CIRP. 16:1968;235-242.
8. Peklenik J., Kubo M. A basic study of a three-dimensional assessment of the surface generated in a manufacturing process. Ann. CIRP. 16:1968;257-265.
9. K.J. Stout, P.J. Sullivan, W.P. Dong, E. Mainsah, N. Luo, T. Mathia, H. Zahouani, The development of methods for the characterisation of surfaces in three dimensions, Report EUR 15178 EN, European Commission, Brussels, 1993.
10. Tsukada T., Sasajima K. An assessment of anisotropic properties in three-dimensional asperities. Bull. Jpn. Soc. Precis. Eng. 17:1983;261-262.
11. Fahl D. Motif combination - a new approach to surface profile analysis. Wear. 83:1982;165-179.
12. A.Y. Grigoriev, S.A. Chizhik, N.K. Myshkin, Texture classification of engineering surfaces with nanoscale roughness, Trans. 7th Int. Conf. on Metrology and Properties of Eng. Surfaces, Göteborg, 1997, pp. 319-324.
13. H. Zahouani, Spectral and 3D motifs identification of anisotropic topographical components. Analysis and filtering of anisotropic patterns by morphological rose approach, Trans. 7th Int. Conf. on Metrology and Properties of Eng. Surfaces, Göteborg, 1997, pp. 222-230.
14. F. Barre, J. Lopez, T.G. Mathia, New method for characterising the anisotropy of engineering surfaces, Trans. 7th Int. Conf. on Metrology and Properties of Eng. Surfaces, Göteborg, 1997, pp. 479-486.
15. M.S. Longuet-Higgins, The statistical geometry of random surfaces, Proc. of the 13th Symp. on Appl. Math. Am. Math. Soc., 1962, pp. 105-143.
16. McCool J.I. Characterisation of surface anisotropy. Wear. 49:1978;19-31.
17. Nayak P.R. Random process model of rough surfaces. Trans. ASME J. Lubr. Technol. 93:1971;398-407.
18. Semenyuk N.F. Average values of total and mean summit curvatures and heights of asperities of an anisotropic rough surface. Soviet Journal of Friction and Wear. 7:1986;47-56.
19. Semenyuk N.F. Summit height probability density and anisotropic rough surface summit characteristics. Trenie i Iznos. 7:1986;1017-1024.
20. Nayak P.R. Some aspects of surface roughness measurement. Wear. 26:1973;165-174.
21. Thomas T.R. Some problems in the characterisation of surface microtopography. Proc. SPIE. 1573:1992;188-200.
22. Rudzit Y.A. Methodology of analytic-experimental determination of friction surface microtopographic parameters. Soviet Journal of Friction Wear. 5:1984;57-63.
23. B.-G. Rosén, R. Ohlsson, T.R. Thomas, Nanometerology of cylinder bore wear, Trans. 7th. Int. Conf. on Metrology and Properties of Eng. Surfaces, Göteborg, 1997, pp. 102-110.
24. J.C. Russ, Fractal Surfaces, Plenum, New York, 1994.
25. Wehbi D., Roques-Carmes C., Tricot C. Perturbation dimension for describing rough surfaces. International Journal of Machine Tools and Manufacture. 32:1992;211-216.
26. Stupak P.R., Syu C.Y., Donovan J.A. The effect of filtering profilometer data on fractal parameters. Wear. 154:1992;109-114.
27. Vandenberg S., Osborne C.F. Digital image processing techniques, fractal dimensionality and scale-space applied to surface roughness. Wear. 159:1992;1730.
28. Yordanov O.I., Ivanova K. Description of surface roughness as an approximate self-affine random structure. Surface Science. 331-333:1995;1043-1049.
29. C. Brown, W. Johnsen, K. Hult, Scale-sensitivity, fractal analysis and simulations, Trans. 7th Int. Conf. on Metrology and Properties of Eng. Surfaces, Göteborg, 1997, pp. 239-243.
30. Thomas T.R., Thomas A.P. Fractals and engineering surface roughness. Surface Topography. 1:1988;1-10.
31. S. Davies, P. Hall, Fractal analysis of surface roughness using spatial data, J. R. Stat. Soc., Ser. B (in press).
32. E. Doege, A. Othmani, C. Kaminsky, Fractal investigations of sheet metal surfaces, Proc. 4th Eur. Conf. on Intelligent Techniques and Soft Computing, Elite Foundation, Aachen, 1996, pp. 1737-1742.
33. Tricot T., Ferland P., Baran G. Fractal analysis of worn surfaces. Wear. 172:1994;127-133.
34. Shivamoggi B.K. Multifractal aspects of the fine-scale structure of temperature fluctuations in isotropic turbulence. Physica A. 221:1995;460-477.
35. Van'yan P.L. Structure function of the velocity field in turbulent flows. JETP. 82:1996;580-586.
36. Sayles R.S., Thomas T.R. The spatial representation of surface roughness by means of the structure function: a practical alternative to correlation. Wear. 42:1977;263-276.
37. Thomas A., Thomas T.R. Digital analysis of very small scale surface roughness. J. Wave Mater. Interact. 3:1988;341-350.
38. D.J. Whitehouse, Handbook of Surface Metrology, Institute of Physics, Bristol, 1994.
39. Majumdar A., Tien C.L. Fractal characterisation and simulation of rough surfaces. Wear. 136:1990;313-327.
40. J.B.P. Williamson, J. Pullen, R.T. Hunt, The shape of solid surfaces, in: F.F. Ling (Ed.), Surface Mechanics, ASME, New York, 1969, pp. 24-35.
41. Bhushan B., Majumdar A. Elastic-plastic contact model for bifractal surfaces. Wear. 153:1992;53-64.
42. N. Amini, B.-G. Rosén, H. Westberg, Optimisation of gear tooth surfaces, Trans. 7th Int. Conf. on Metrology and Properties of Eng. Surfaces, Göteborg, 1997, pp. 6-16.
43. T.R. Thomas, Correlation analysis of the structure of a ground surface, Proc. 13th Int. Machine Tool Des. and Res. Conf., Manchester, 1973, pp. 303-308.
44. Kant R. Statistics of approximately self-affine fractals: random corrugated surfaces and time series. Phys. Rev. E. 53:1996;5749-5763.
45. K. Falconer, Fractal Geometry: Mathematical Foundations and Applications, Wiley, New York, 1990.
46. D.L. Turcotte, Fractals and Chaos in Geology and Geophysics, Cambridge Univ. Press, Cambridge, 1992.
47. R.F. Voss, Fractals in nature: from characterisation to simulation, in: H.-O. Peitgen, D. Saupe (Eds.), The Science of Fractal Images, Springer-Verlag, Berlin, 1988, pp. 21-70.