A three-dimensional fractal analysis method for ground monocrystal sapphire surface

Qiu Yan Wang, Zhi Qiang Liang*, Xi Bin Wang, Wen Xiang Zhao, Yong Bo Wu, L. Jiao, Li Jing Xie

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

Conventional characterization methods of grinding surface using surface roughness parameters, e.g., Ra, depend on either the resolution of the measuring instrument or the length of the sample. But fractal dimension (FD) as a scale-independent fractal parameter is effective to evaluate the ground surface at any length scale and represent lots of surface phenomenon at its relevant length scales. In this paper, a three-dimensional (3D) box-counting fractal analysis method is used to investigate ground surface morphology of monocrystal sapphire by calculating 3D fractal dimension of the ground surface. The results obtained show that fractal dimension decreases with the increasing surface roughness. For the ground surface with higher fractal dimension, its microtopography is more exquisite with minor defects. Once the fractal dimension become smaller, deep cracks and pronounced defects are exhibited in ground surface. Moreover, the ground surface obtained in ductile mode has much higher fractal dimension than that in brittle mode. Therefore, the fractal analysis method has the potential to reveal the ground surface characteristics of monocrystal sapphire.

Original languageEnglish
Title of host publicationAdvances in Abrasive Technology XVII
EditorsJiwang Yan, Hideki Aoyama, Akinori Yui
PublisherTrans Tech Publications Ltd.
Pages187-192
Number of pages6
ISBN (Electronic)9783038352211
DOIs
Publication statusPublished - 2014
Event17th International Symposium on Advances in Abrasive Technology, ISAAT 2014 - Kailua, United States
Duration: 22 Sept 201425 Sept 2014

Publication series

NameAdvanced Materials Research
Volume1017
ISSN (Print)1022-6680
ISSN (Electronic)1662-8985

Conference

Conference17th International Symposium on Advances in Abrasive Technology, ISAAT 2014
Country/TerritoryUnited States
CityKailua
Period22/09/1425/09/14

Keywords

  • Defects
  • Fractal dimension
  • Grinding
  • Monocrystal sapphire
  • Surface morphology

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