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

Takao Utsunomiya, Katsuhiko Watanabe

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume142
Issue number1
DOIs
Publication statusPublished - 1993 Jul 2
Externally publishedYes

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crack
cracks
flux density
Cracks
energy
constitutive equation
Strain energy
Constitutive equations
Aluminum alloys
Crack propagation
aluminum
plastic
Plastics
constitutive equations
Direction compound
aluminum alloys
experiment
constrictions
Experiments
plastics

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Fracture criterion of a mixed-mode crack based on CED (Crack Energy Density). / Utsunomiya, Takao; Watanabe, Katsuhiko.

In: Nuclear Engineering and Design, Vol. 142, No. 1, 02.07.1993, p. 101-111.

Research output: Contribution to journalArticle

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