Fracture criterion of a mixed-mode crack based on CED (Crack Energy Density)

Takao Utsunomiya, Katsuhiko Watanabe

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The CED (Crack Energy Density) in an arbitrary direction, Eφ{symbol}, is defined as the quantity which has the meaning of strain energy area density in the plane containing a crack front line without any restriction on constitutive equation. We may expect that, as far as the opening type fracture occurs, a mixed mode crack begins to grow in the direction φ{symbol} where Eφ{symbol}I (mode I contribution of Eφ{symbol}) takes the maximum value, Eφ{symbol}maxI, when Eφ{symbol}maxI reaches a critical value peculiar to a material (we call this criterion Eφ{symbol}maxI criterion). In this paper, the applicability of this Eφ{symbol}maxI criterion to elastic-plastic fractures is studied based on the fracture experiments on specimens of Aluminum alloy with a crack inclined to the loading axis and it is demonstrated that the onset and the direction of crack growth can be estimated by Eφ{symbol}maxI criterion in either case of fractures with relatively small yielding region and those with large yielding region. The applicability of Eφ{symbol}maxI criterion to elastic (quasi-elastic) fractures is also shown through the comparison of the result by Eφ{symbol}maxI criterion with the results by other criteria and experimental results.

Original languageEnglish
Pages (from-to)101-111
Number of pages11
JournalNuclear Engineering and Design
Issue number1
Publication statusPublished - 1993 Jul 2
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Nuclear Energy and Engineering
  • Materials Science(all)
  • Safety, Risk, Reliability and Quality
  • Waste Management and Disposal
  • Mechanical Engineering


Dive into the research topics of 'Fracture criterion of a mixed-mode crack based on CED (Crack Energy Density)'. Together they form a unique fingerprint.

Cite this