Fractal dimensions of recrystallized quartz grain boundaries and grain fabrics

Miki Takahashi, Hiroyuki Nagahama

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We measured the fractal dimensions of dynamically recrystallized quartz grain boundaries subjected experimentally to various deformation conditions (temperature 800°C to 1000°C and strain rate 10-6 to 10-4 sec-1). We investigated both the individual fractal dimension D1 for each grain, using the box-counting method, and the collective fractal dimension DC for whole grain fabric, using the area-perimeter method. The individual fractal dimension DI showed an inverse variation with grain size and converged to the value of DC as the grain size increased. During dynamic recrystallization, grain boundary serration would be modified by neighboring grain interactions including bulging, nucleation, and boundary migration. The pattern of variation of DI appears to suggest that a restricted range of shapes results from grain boundary serration or smoothing processes as the grain is growing or being consumed.

Original languageEnglish
Pages (from-to)213-221
Number of pages9
JournalArabian Journal for Science and Engineering
Issue number1 C
Publication statusPublished - 2003 Jun


  • Area-perimeter method
  • Box-counting method
  • Fractal dimensions
  • Recrystallized quartz grain

ASJC Scopus subject areas

  • General

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