Topographical Analysis of the Rubbed Surface using Fractal Dimension

프랙탈 차원을 이용한 마찰면의 형상특징 해석

Park, Heung-Sik;Kim, Yeong-Hui;Jeon, Tae-Ok;Jo, Yeon-Sang;Mun, Byeong-Ju

  • Published : 2001.11.01


The fractal-based method for describing rubbed surface texture has aroused great interest. The determination of rubbed surface topography is believed to be extremely important in the areas of contact mechanics, adhesion and friction. In order to describe topography of the rubbed surface, the wear test was carried out with annular surfaces of wear testing specimens in dry friction. furthermore, the relation between the fractal dimensions and the frictional conditions are also investigated and fractal descriptors was applied to rubbed surface with image processing. Fractal dimension can be determined by sum of intensity difference of image surface pixel. Fractal dimension increased according as the applied load and sliding distance increase. Topography of the rubbed surface can be effectively obtained by fractal dimensions.


Rubbed Surface;Topographical Analysis;Image Processing;Intensity Difference;Fractal Dimension


  1. Kirk ,T. B., Stachowiak, G. W. and Btachelor, A. W., 1991, 'Fractal Parameters and Computer Image Analysis appied to Wear Particles isolated by Ferrograghy,' Wear, 145, pp. 347-365
  2. 서영백, 박홍식, 전태옥, 1997, '기계윤활 운동면의 작동상태 진단을 위한 마멸분 해석,' 대한기계학회논문집(A), 제21권, 제5호, pp. 835-841
  3. 精密工學會表面改質に關する調査硏究分科會, 1988, '表面改質技術,' 日刊工學新聞社, pp. 124-130
  4. 入木伸行, 井上誠喜, 林正樹, 1992, 'C言語で學ぷ實戰畵像處理,' オム社, pp. 2-10
  5. Majumdar, A. and Bhushan, B., 1990, 'Role of Fractal Geometry in Roughness Characterization and Mechanics of Surfaces,' ASME, Vol. 112, pp. 205-216
  6. Stupak, P. R., Kand, J. H., and Donovan, J. A.., 1990, 'Fractal Characteristics of Rubber Wear Surfaces as a Function of Load and Velocity,' Wear, 141, pp. 73-84
  7. 塚田忠夫, 1995, '表面門晶のフラクタルミュレ-ッョソ,' トライポロヅスト, 第40卷, 第7號, pp. 533-538
  8. Mandelbrot, B. B., 1982, 'The Fractal Geometry of Natrue,' Freman, New York
  9. Vandenberg, S. and Osborne, C.F., 1992, 'Digital Image Processing Techniques, Fractal Dimen-sionality and Scale-space applied to Surface Roughness,' Wear, 159, pp. 17-30