Inverse Analysis on the Distribution of Internal Small Defects

Naoya Tada, Ryuichi Ohtani, Takayuki Kitamura, Masaya YAM Ada

Research output: Contribution to journalArticlepeer-review


This paper deals with a method for predicting the three-dimensional distribution of internal defects from the two-dimensional observation of intercepted defects on an inspection plane by an inverse analysis. At first, the fundamental relationships between them were analytically derived on the basis of a statistical model where multiple penny-shaped cracks in an infinite body were intercepted by an inspection plane. The validity of the method was confirmed by a numerical simulation. It was, moreover, applied to small creep fatigue cracks distributing in a smooth specimen of a Type 304 stainless steel, and the volumetric density and the distribution of crack size were successfully evaluated.

Original languageEnglish
Pages (from-to)381-386
Number of pages6
JournalTransactions of the Japan Society of Mechanical Engineers Series A
Issue number558
Publication statusPublished - 1993
Externally publishedYes


  • Creep Cavity
  • Internal Defects
  • Inverse Problem
  • Numerical Analysis
  • Probabilistic Method
  • Small Creep Fatigue Cracks
  • Volumetric Crack Density

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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