论文信息 - Three dimensional fractal analysis of sheet metal surfaces

Three dimensional fractal analysis of sheet metal surfaces

Abstract The analysis of a sheet metal surface is an essential part to describe phenomena like friction, lubrication or wear. Several studies have shown that the concept of fractal dimension may be applied to characterise technical surfaces. As 2D measurements are not sufficient for a full description of the surface structure. 3D image analysis methods are performed to characterise the topography of rough sheet metal surfaces. In this paper some investigations are presented concerning the 3D fractal analysis of a St 14 sheet surface. To take into account the relevant aspects for metal forming, these characterisations have been also performed with elongated and loaded sheets.

A. Othmani | C. Kaminsky

[1] B. Bhushan,et al. Role of Fractal Geometry in Roughness Characterization and Contact Mechanics of Surfaces , 1990 .

[2] Roux,et al. Roughness of two-dimensional cracks in wood. , 1994, Physical review letters.

[3] B. Mandelbrot. Self-Affine Fractals and Fractal Dimension , 1985 .

[4] P. Nayak,et al. Random Process Model of Rough Surfaces , 1971 .

[5] B. Mandelbrot. Stochastic models for the Earth's relief, the shape and the fractal dimension of the coastlines, and the number-area rule for islands. , 1975, Proceedings of the National Academy of Sciences of the United States of America.

[7] F. F. Ling. Scaling law for contoured length of engineering surfaces , 1987 .

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

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

[10] Jean Serra,et al. Image Analysis and Mathematical Morphology , 1983 .

[11] R. Sayles,et al. Surface topography as a nonstationary random process , 1978, Nature.

[12] B. Mandelbrot,et al. Fractional Brownian Motions, Fractional Noises and Applications , 1968 .