Statistical analysis of size effects on time-dependent fracture of an alumina

Chih Kuang Lin, Wen Shao Chen

Research output: Contribution to journalArticlepeer-review


Time-dependent fracture of an alumina under long-term static and cyclic loading was investigated by four-and three-point flexure tests. Bend bars with two different sizes were prepared to evaluate the size effects on the failure time distribution. The resulting stress-life data were analyzed by two statistical time-dependent fracture theories which incorporate the statistics of strength and flaw size distribution with subcritical crack growth that leads to delayed fracture. The first model considers only the growth of a single major crack to a critical size while the second considers the size distribution of multiple flaws and their slow crack growth characteristics. Both models provided commonly acceptable description of the static and cyclic strength-probability-lifetime relationships for the experimental results from various specimen sizes and flexure modes.

Original languageEnglish
Pages (from-to)723-730
Number of pages8
JournalJournal of the Ceramic Society of Japan
Issue number9
StatePublished - Sep 1997


  • Alumina
  • Size effect
  • Statistical analysis
  • Subcritical crack growth
  • Time-dependent fracture


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