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Fractal analysis of metal surfaces mechanically polished by several methods

T. SAKAI1,*

Affiliation

  1. Department of Mechanical Engineering, Takamatsu National College of Technology, 355 Chokushi, Takamatsu, Kagawa 761-8058 Japan

Abstract

The roughness of a mechanically polished surface of any machine component is expected to depend both on finishing methods and evaluation procedures. Presumably, a surface finished using buff-polishing is flat and smooth compared to a surface finished using a shaper. Even if a surface is finished using a definite procedure, the roughness also depends on the measurement procedure. A surface looks flat and smooth after finishing by a given method if one observes by the naked eye. But the surface appears rough if one observes it using a high-resolution microscope. The roughness becomes more distinct with increased resolution of the microscope. This aspect can be attributed to a fractal nature of the mechanically finished metal surface. From this point of view, fractal analysis is applied to evaluate the geometric irregularity of polished surfaces using different methods of shaper finishing, milling, grinding, and buff-polishing. The results show that the geometric irregularity of the surface is well evaluated by combining the fractal dimension and additional indices that are peculiar to machining methods.

Keywords

Fractal, Fractal dimension, Richardson effect, Metal surface, Surface finishing, Roughness, Scanning laser microscope.

Citation

T. SAKAI, Fractal analysis of metal surfaces mechanically polished by several methods, Optoelectronics and Advanced Materials - Rapid Communications, 1, 5, May 2007, pp.235-241 (2007).

Submitted at: March 20, 2007

Accepted at: April 5, 2007