### Abstract

The CED (crack energy density) in an arbitrary direction, E_{φ}, is expected to describe the fracture behaviors of a mixed mode crack. It was shown previously that E_{φ} can be evaluated by a path-independent integral with sufficient accuracy for practical purposes. In this paper, another evaluation method of E_{φ}, based on the relationship between E_{φ} and load- displacement curves, is discussed. A relationship between initial crack lengths, load-displacement curves and E_{φ}, which holds until cracks start to grow, is derived and a method of evaluating E_{φ} from the load-displacement curves is proposed. Based on this method, evaluation of E_{φ} is attempted from load-displacement curves obtained by finite element analyses and experiments. It is shown that this method is practical for evaluating E_{φ} through comparison with the theoretical values and the values found by the path-independent integral.

Original language | English |
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Pages (from-to) | 527-534 |

Number of pages | 8 |

Journal | JSME International Journal, Series 1: Solid Mechanics, Strength of Materials |

Volume | 32 |

Issue number | 4 |

Publication status | Published - 1989 Oct |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*JSME International Journal, Series 1: Solid Mechanics, Strength of Materials*,

*32*(4), 527-534.

**CED (crack energy density) in an arbitrary direction and load-displacement curves.** / Watanabe, Katsuhiko; Utsunomiya, Takao; Hirano, Yasuo.

Research output: Contribution to journal › Article

*JSME International Journal, Series 1: Solid Mechanics, Strength of Materials*, vol. 32, no. 4, pp. 527-534.

}

TY - JOUR

T1 - CED (crack energy density) in an arbitrary direction and load-displacement curves

AU - Watanabe, Katsuhiko

AU - Utsunomiya, Takao

AU - Hirano, Yasuo

PY - 1989/10

Y1 - 1989/10

N2 - The CED (crack energy density) in an arbitrary direction, Eφ, is expected to describe the fracture behaviors of a mixed mode crack. It was shown previously that Eφ can be evaluated by a path-independent integral with sufficient accuracy for practical purposes. In this paper, another evaluation method of Eφ, based on the relationship between Eφ and load- displacement curves, is discussed. A relationship between initial crack lengths, load-displacement curves and Eφ, which holds until cracks start to grow, is derived and a method of evaluating Eφ from the load-displacement curves is proposed. Based on this method, evaluation of Eφ is attempted from load-displacement curves obtained by finite element analyses and experiments. It is shown that this method is practical for evaluating Eφ through comparison with the theoretical values and the values found by the path-independent integral.

AB - The CED (crack energy density) in an arbitrary direction, Eφ, is expected to describe the fracture behaviors of a mixed mode crack. It was shown previously that Eφ can be evaluated by a path-independent integral with sufficient accuracy for practical purposes. In this paper, another evaluation method of Eφ, based on the relationship between Eφ and load- displacement curves, is discussed. A relationship between initial crack lengths, load-displacement curves and Eφ, which holds until cracks start to grow, is derived and a method of evaluating Eφ from the load-displacement curves is proposed. Based on this method, evaluation of Eφ is attempted from load-displacement curves obtained by finite element analyses and experiments. It is shown that this method is practical for evaluating Eφ through comparison with the theoretical values and the values found by the path-independent integral.

UR - http://www.scopus.com/inward/record.url?scp=0024750287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024750287&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0024750287

VL - 32

SP - 527

EP - 534

JO - JSME International Journal, Series A: Mechanics and Material Engineering

JF - JSME International Journal, Series A: Mechanics and Material Engineering

SN - 0914-8809

IS - 4

ER -