A new fractal model for anisotropic surfaces

International Journal of Machine Tools and Manufacture

Volumn 38, Issue 5-6, 1998, Pages 551-557

  Blackmore, D ^a   Zhou, G ^b  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b Drexel University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANISOTROPY; APPROXIMATION THEORY; COMPUTER SIMULATION; FRACTALS;

GAUSSIAN HEIGHT DISTRIBUTION; HOLDER CONDITION;

SURFACE ROUGHNESS;

EID: 0032064746     PISSN: 08906955     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0890-6955(97)00101-6     Document Type: Article

References (18)

1. M. Longuet-Higgins, The Statistical Analysis of a Random Moving Surface, Phil. Trans. R. Soc. London, A248, 321-387 (1957).
2. P. Nayak, Some Aspects of Surface Roughness Measurement, Wear, 26, 165-174 (1973).
3. K. Falconer, Fractal Geometry: Mathematical Foundations and Applications, Wiley, New York (1990).
4. K. Falconer, Techniques in fractal Geometry, Wiley, New York (1996).
5. B. Mandelbrot, Self-Affine Fractals and Fractal Dimension, Physica Scripta, 32, 257-260 (1985).
6. J. Gagnepain, and C. Roques-Carmes, Fractal Approach to Two-Dimensional and Three-Dimensional Surface Roughness, Wear, 109, 119-126 (1986).
7. T. Thomas, Surface Roughness: The Next Ten Years, Surface Topography, 1, 3-9 (1988).
8. A. Thomas, and T. Thomas, Digital Analysis of Very Small Scale Surface Roughness, J. Wave-Material Interaction, 341-350 (1988).
9. C. Rouques-Carmes, D. Wehbi, J. Quiniou, and C. Tricot, Modeling Engineering Surfaces and Evaluating Their Non-Integer Dimension in Material Science, Surface Topography, 1, 435-443 (1988).
10. F. Ling, Fractals, Engineering Surfaces and Tribology, Wear, 136, 141-156 (1990).
11. A. Majumdar, and C. Tien, Fractal Characterization and Simulation of Rough Surfaces, Wear, 136, 313-327 (1990).
12. G. Zhou, M. C. Leu, and D. Blackmore, Fractal Geometry Model for Wear Prediction, Wear, 170/1, 1-14 (1993).
13. G. Zhou, M. C. Leu, and D. Blackmore, Fractal Geometry Modeling with Applications in Surface Characterization and Wear Prediction, J. Mach. Tools Manufact., 35, 203-209 (1995).
14. J. Lopez, G. Hansali, J. Le Bosse, and T. Mathia, Caracterisation Fractale de la Rugosite Tridimensionelle d'une Surface, J. de Physique III, 4, 2501-2519 (1994).
15. M. Berry, and Z. Lewis, On the Weierstrass-Mandelbrot Fractal Function, Proc. Royal Soc., A 370, 459-484 (1980).
16. D. Blackmore, and G. Zhou, A General Fractal Distribution Function for Rough Surface Profiles, SIAM J. Appl. Math., 56, 1694-1719 (1996a).
17. D. Blackmore, and G. Zhou, Fractal Analysis of Height Distributions of Anisotropic Rough Surfaces, Wear (submitted: 1996b).
18. P. Hoel, Introduction to Mathematical Statistics, Wiley, New York (1971).