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

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Abstract

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, Eφ, 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 EφI (the mode I contribution of Eφ) takes the maximum value, EφmaxI, when EφmaxI reaches a critical value peculiar to a material (we call this criterion the EφmaxI criterion). First, the applicability of this EφmaxI criterion to elastic fracture is shown through the comparison between the results of the EφmaxI 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 EφmaxI criterion.

Original languageEnglish
Pages (from-to)2366-2372
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume57
Issue number542
Publication statusPublished - 1991 Oct
Externally publishedYes

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Cracks
Strain energy
Constitutive equations
Aluminum alloys
Experiments
Plastics
Direction compound

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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abstract = "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, Eφ, 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 EφI (the mode I contribution of Eφ) takes the maximum value, EφmaxI, when EφmaxI reaches a critical value peculiar to a material (we call this criterion the EφmaxI criterion). First, the applicability of this EφmaxI criterion to elastic fracture is shown through the comparison between the results of the EφmaxI 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 EφmaxI criterion.",
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N2 - 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, Eφ, 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 EφI (the mode I contribution of Eφ) takes the maximum value, EφmaxI, when EφmaxI reaches a critical value peculiar to a material (we call this criterion the EφmaxI criterion). First, the applicability of this EφmaxI criterion to elastic fracture is shown through the comparison between the results of the EφmaxI 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 EφmaxI criterion.

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