Fracture Criterion of a Mixed-Mode Crack (1st Report: A Study Based on Fracture of an Inclined Crack under Tensile Loading)

Takao Utsunomiya, Katsuhiko Watanabe

Research output: Contribution to journalArticlepeer-review


This paper purports to study the fracture criterion of a mixed-mode crack and to demonstrate that the criterion based on the CED (crack energy density) is available from completely elastic fracture to elastic-plastic fracture in a unified way. The CED in an arbitrary direction, εφ, is defined as the quantity which has the meaning of strain energy area density in the plane containing a crack front line without any restrictions on the constitutive equation. We may expect that a mixed-mode crack begins to grow in the direction φ where [formula omitted] (the mode I contribution of εφ) takes the maximum value, [formula omitted] when [formula omitted] reaches a critical value peculiar to a material (we call this criterion the [formula omitted] criterion). First, the applicability of this [formula omitted] criterion to elastic fracture is shown through the comparison between the results of the [formula omitted] criterion and the results of other criteria and experiments. Subsequently, fracture experiments of specimens of aluminum alloy with a crack inclined to the loading axis are carried out, and it is demonstrated that not only fractures with a relatively small yielding region but also fractures with a large yielding region can be explained by this [formula omitted] criterion.

Original languageEnglish
Pages (from-to)2366-2372
Number of pages7
JournalTransactions of the Japan Society of Mechanical Engineers Series A
Issue number542
Publication statusPublished - 1991
Externally publishedYes


  • CED
  • Finite Element Method
  • Fracture Criterion
  • Fracture Mechanics
  • Fracture Toughness
  • Mixed-Mode Crack
  • Path-Independent Integral

ASJC Scopus subject areas

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


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