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A New Theory of Non-Destructive Inspection Based on Fracture Mechanics and Fracture Statistics

  • Y. Matsuo
  • K. Kitakami
  • S. Kimura
Part of the Fracture Mechanics of Ceramics book series (FMOC, volume 10)

Abstract

Since ceramics is a typical brittle material, it is very important how to guarantee its strength reliability. In these years, Weibull’s statistics, the proof test and the non-destructive inspection have been used for the above purpose. In this work, the statistical theory of nondestructive inspection (NDI) is presented considering the distribution functions of the fracture-location and the flaw-size at fracture origin, which are derived from the statistical theory of fracture-location (OhFinnie’s theory) combined with competing risk theory and fracture mechanics. It is pointed out that one can select a screening-size only if the assumed stress field in N.D.I. is the same as the one in real loading. Furthermore, N.D.I. should be carried out within a definite region, called as a screening region, bordered by “N.D.I.-line” calculated from the joint cumulative distribution function.

Keywords

Probability Density Function Fracture Criterion Fracture Location Fracture Probability Joint Probability Density Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Y. Matsuo
    • 1
  • K. Kitakami
    • 2
  • S. Kimura
    • 1
  1. 1.Department of Inorganic Materials, Faculty of EngineeringTokyo Institute of TechnologyOokayama,Meguro-ku, TokyoJapan
  2. 2.Canon Research CenterAtsugi, KanagawaJapan

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