Fracture model and estimation of probability distribution of fracture toughness for polycrystalline ceramics

Kazuya Mori, Hiroshi Noguchi

Research output: Contribution to journalArticle

Abstract

In this paper, a fracture model for polycrystalline ceramics is proposed. In the model, it is assumed that fracture toughness along a crack front has a distribution and that the fracture toughness for the macro-material is the mean value of those. It follows from the model that the probability distribution of fracture toughness for polycrystalline ceramics with a crack of the same configuration can be approximated by a normal distribution and that the coefficient of variation of fracture toughness for polycrystalline ceramics with a crack of the similar figure is inversely proportional to the root of the crack front length. In order to examine the theoretical results, indentation fracture tests of alumina ceramics are carried out. The experimental results agree with the theoretical results.

Original languageEnglish
Pages (from-to)625-630
Number of pages6
JournalZairyo/Journal of the Society of Materials Science, Japan
Volume47
Issue number6
DOIs
Publication statusPublished - Jan 1 1998

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fracture strength
Probability distributions
Fracture toughness
cracks
ceramics
Cracks
Aluminum Oxide
Normal distribution
indentation
Indentation
normal density functions
Macros
Alumina
aluminum oxides
coefficients
configurations

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "In this paper, a fracture model for polycrystalline ceramics is proposed. In the model, it is assumed that fracture toughness along a crack front has a distribution and that the fracture toughness for the macro-material is the mean value of those. It follows from the model that the probability distribution of fracture toughness for polycrystalline ceramics with a crack of the same configuration can be approximated by a normal distribution and that the coefficient of variation of fracture toughness for polycrystalline ceramics with a crack of the similar figure is inversely proportional to the root of the crack front length. In order to examine the theoretical results, indentation fracture tests of alumina ceramics are carried out. The experimental results agree with the theoretical results.",
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