Fractal analysis of surface topography in ground monocrystal sapphire

Qiuyan Wang, Zhiqiang Liang*, Xibin Wang, Wenxiang Zhao, Yongbo Wu, Tianfeng Zhou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

The surface characterization of ground monocrystal sapphire is investigated by fractal analysis method. A serial of ground sapphire surfaces in ductile removal and brittle removal mode are obtained by grinding experiments, and their three dimensional (3D) and two dimensional (2D) fractal dimensions are calculated and analyzed by box-counting methods. The 3D surface fractal dimension D s shows a negative correlation with the surface roughness parameter Ra and is sensitive to the ground surface defects. For the ground surface with larger fractal dimension D s , its micro-topography is more exquisite with minor defects. Once the fractal dimension D s become smaller, deep cracks and pronounced defects are exhibited in ground surface. Moreover, the material removal mode can be implied from the distribution of 2D crosssectional profile fractal dimension D L . The workpiece surface generated in ductile removal mode has high surface quality with high 2D and 3D fractal dimensions. This study indicates that the box-counting fractal analysis is an effective method to evaluate ground sapphire surface comprehensively.

Original languageEnglish
Pages (from-to)182-189
Number of pages8
JournalApplied Surface Science
Volume327
DOIs
Publication statusPublished - 1 Feb 2015

Keywords

  • Box-counting method
  • Fractal dimension
  • Material removal mode
  • Monocrystal sapphire

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