Fracture Criterion of a Mixed-Mode Crack (3rd Report, A Study on Evaluation of Fracture Paramenter CED in an Arbitrary Direction by Finite Element Method)

Takao Utsunomiya, Katsuhiko Watanabe

Research output: Contribution to journalArticle


In the series of papers, the authors proposed the fracture criteria for mode I (opening type) fracture and mode II (shear type) fracture in a mixed-mode crack based on the CED (crack energy density) in an arbitarry direction, εφ, and the applicability of these criteria to mixed-mode crack has been investigated through the fracture experiments of specimens with an inclined crack under tensile/shear type loading. In this paper, the evaluation method of εφ by finite element method is studied. Elastic-plastic finite element analyses are carried out for the above mentioned fracture experiments and εφ and its contribution of each mode are evaluated by path-independent integrals and the method based on load-displacement curves. Based on the results, we examine the fundamental properties in the evaluation of εφ and so on in elastic case and, simultaniously, develop a practical method to evaluate εφ and so on in elastic-plastic case which makes the application of the fractrure criteria to the fracture of a mixed-mode crack realistic and easy.

Original languageEnglish
Pages (from-to)1590-1597
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series A
Issue number563
Publication statusPublished - 1993 Jan 1



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

ASJC Scopus subject areas

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

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