Availability of gamma distribution as initial distribution of flaw size

Chisato Wakabayashi, Kouichi Yasuda, Tadashi Shiota

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

To demonstrate availability of gamma distribution as the initial distribution of flaw size, three kinds of initial flaw size data of alumina ceramics were employed. Compared with a power function, gamma distribution was better fit to the data in every case. For practical use, an approximate expression of the initial distribution of flaw size was proposed by taking out a major part of the gamma distribution relating to the shape parameter. Finally, a positive correlation between the average fracture strength of the alumina ceramics and the shape parameter of the gamma distribution was discussed.

Original languageEnglish
Pages (from-to)162-165
Number of pages4
JournalJournal of the Ceramic Society of Japan
Volume117
Issue number1362
DOIs
Publication statusPublished - Feb 2009
Externally publishedYes

Keywords

  • Alumina ceramics
  • Flaw size
  • Fracture strength
  • Gamma distribution
  • Reliability analysis

ASJC Scopus subject areas

  • Ceramics and Composites
  • Chemistry(all)
  • Condensed Matter Physics
  • Materials Chemistry

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