A statistical theory of time-dependent fracture for brittle materials

Xiao Zhi Hu, Yiu Wing Mai, Brian Cotterell

Research output: Journal article publicationJournal articleAcademic researchpeer-review

38 Citations (Scopus)

Abstract

By considering the size distribution of pre-existing flaws and their slow crack growth characteristics, a statistical fracture theory is developed for the time dependence of the strength of brittle materials such as cementitious matrices, glasses and ceramics. Theoretical fracture strength and lifetime predictions in pure-bend specimens subjected to constant stress rates, sustained and cyclic stresses are presented. Both surface flaws and volume flaws are considered in the analyses. The time-to-failure experimental results for a soda-lime glass and a polycrystalline alumina agree well with the statistical fracture theory predictions, but the conventional single-crack analysis is inadequate. A simple energy balance method for the prediction of creep under sustained stresses is also given.

Original languageEnglish
Pages (from-to)299-324
Number of pages26
JournalPhilosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties
Volume58
Issue number2
DOIs
Publication statusPublished - Aug 1988
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • General Materials Science
  • Condensed Matter Physics
  • Physics and Astronomy (miscellaneous)
  • Metals and Alloys

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