Fracture criterion of a mixed mode crack (2nd report, mode II fracture criterion and criterion for judging fracture mode)

Takao Utsunomiya, Katsuhiko Watanabe

Research output: Contribution to journalArticle

Abstract

In the first report, it was shown that, as far as the mode I (opening type) fracture occurs, the criterion (Eφmax1 criterion) based on the mode I contribution of Eφ (crack energy density in an arbitrary direction) is effective from completely elastic fracture to elastic plastic fracture with large yielding region through the application of Eφmax1 criterion to the fractures of an inclined crack under tensile type loading. However, the mode II (shear type) fracture may occur under some conditions. So, in this paper, the criterion (Eφmax1 criterion) based on the mode II contribution of Eφ is proposed as the criterion for the mode II fracture first. Subsequently, the fracture experiments of an inclined crack under shear type loading are carried out and, based on the experimental results, its applicability to mode II fractures is shown in addition to the applicability of Eφmax1 criterion to mode I fractures and, moreover, the criterion for judging fracture mode is discussed. Finally, by summarizing the results in this paper and those in the first report, the most generalized mixed mode fracture criterion which can also judge fracture mode is given.

Original languageEnglish
Pages (from-to)1582-1589
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume59
Issue number563
Publication statusPublished - 1993 Jul
Externally publishedYes

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Cracks
Plastics

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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title = "Fracture criterion of a mixed mode crack (2nd report, mode II fracture criterion and criterion for judging fracture mode)",
abstract = "In the first report, it was shown that, as far as the mode I (opening type) fracture occurs, the criterion (Eφmax1 criterion) based on the mode I contribution of Eφ (crack energy density in an arbitrary direction) is effective from completely elastic fracture to elastic plastic fracture with large yielding region through the application of Eφmax1 criterion to the fractures of an inclined crack under tensile type loading. However, the mode II (shear type) fracture may occur under some conditions. So, in this paper, the criterion (Eφmax1 criterion) based on the mode II contribution of Eφ is proposed as the criterion for the mode II fracture first. Subsequently, the fracture experiments of an inclined crack under shear type loading are carried out and, based on the experimental results, its applicability to mode II fractures is shown in addition to the applicability of Eφmax1 criterion to mode I fractures and, moreover, the criterion for judging fracture mode is discussed. Finally, by summarizing the results in this paper and those in the first report, the most generalized mixed mode fracture criterion which can also judge fracture mode is given.",
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AU - Utsunomiya, Takao

AU - Watanabe, Katsuhiko

PY - 1993/7

Y1 - 1993/7

N2 - In the first report, it was shown that, as far as the mode I (opening type) fracture occurs, the criterion (Eφmax1 criterion) based on the mode I contribution of Eφ (crack energy density in an arbitrary direction) is effective from completely elastic fracture to elastic plastic fracture with large yielding region through the application of Eφmax1 criterion to the fractures of an inclined crack under tensile type loading. However, the mode II (shear type) fracture may occur under some conditions. So, in this paper, the criterion (Eφmax1 criterion) based on the mode II contribution of Eφ is proposed as the criterion for the mode II fracture first. Subsequently, the fracture experiments of an inclined crack under shear type loading are carried out and, based on the experimental results, its applicability to mode II fractures is shown in addition to the applicability of Eφmax1 criterion to mode I fractures and, moreover, the criterion for judging fracture mode is discussed. Finally, by summarizing the results in this paper and those in the first report, the most generalized mixed mode fracture criterion which can also judge fracture mode is given.

AB - In the first report, it was shown that, as far as the mode I (opening type) fracture occurs, the criterion (Eφmax1 criterion) based on the mode I contribution of Eφ (crack energy density in an arbitrary direction) is effective from completely elastic fracture to elastic plastic fracture with large yielding region through the application of Eφmax1 criterion to the fractures of an inclined crack under tensile type loading. However, the mode II (shear type) fracture may occur under some conditions. So, in this paper, the criterion (Eφmax1 criterion) based on the mode II contribution of Eφ is proposed as the criterion for the mode II fracture first. Subsequently, the fracture experiments of an inclined crack under shear type loading are carried out and, based on the experimental results, its applicability to mode II fractures is shown in addition to the applicability of Eφmax1 criterion to mode I fractures and, moreover, the criterion for judging fracture mode is discussed. Finally, by summarizing the results in this paper and those in the first report, the most generalized mixed mode fracture criterion which can also judge fracture mode is given.

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