Applicability of CED (crack energy density) to mixed mode fracture problem

Katsuhiko Watanabe, Takao Utsunomiya

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The CED (Crack Energy Density), εφ{symbol}, in an arbitrary direction is defined and has a consistent meaning without any restriction on constitutive equation. In general, εφ{symbol} can be divided into the contributions of each mode and the maximum value, εIφ{symbol}max, of εIφ{symbol} for mode I is expected to play the most important role in mixed mode fracture problems. In this paper, εφ{symbol} and εIφ{symbol} for specimens under tension with a crack inclined to the loading axis are evaluated by path-independent integrals and the method based on the relationship between εφ{symbol} and load-displacement curves through elastic finite element analyses, and a practical method to evaluate εIφ{symbol}max is proposed through comparison of the results with theoretical ones. Subsequently, εIφ{symbol}max corresponding to an experimental result of ductile fracture is evaluated by the above proposed method through elastic-plastic finite element analyses and the applicability of CED (εIφ{symbol}max) to a mixed mode fracture problem is demonstrated.

Original languageEnglish
Pages (from-to)175-189
Number of pages15
JournalInternational Journal of Pressure Vessels and Piping
Volume44
Issue number2
DOIs
Publication statusPublished - 1990
Externally publishedYes

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Cracks
Ductile fracture
Constitutive equations
Plastics
Direction compound

ASJC Scopus subject areas

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

Cite this

Applicability of CED (crack energy density) to mixed mode fracture problem. / Watanabe, Katsuhiko; Utsunomiya, Takao.

In: International Journal of Pressure Vessels and Piping, Vol. 44, No. 2, 1990, p. 175-189.

Research output: Contribution to journalArticle

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abstract = "The CED (Crack Energy Density), εφ{symbol}, in an arbitrary direction is defined and has a consistent meaning without any restriction on constitutive equation. In general, εφ{symbol} can be divided into the contributions of each mode and the maximum value, εIφ{symbol}max, of εIφ{symbol} for mode I is expected to play the most important role in mixed mode fracture problems. In this paper, εφ{symbol} and εIφ{symbol} for specimens under tension with a crack inclined to the loading axis are evaluated by path-independent integrals and the method based on the relationship between εφ{symbol} and load-displacement curves through elastic finite element analyses, and a practical method to evaluate εIφ{symbol}max is proposed through comparison of the results with theoretical ones. Subsequently, εIφ{symbol}max corresponding to an experimental result of ductile fracture is evaluated by the above proposed method through elastic-plastic finite element analyses and the applicability of CED (εIφ{symbol}max) to a mixed mode fracture problem is demonstrated.",
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