### Abstract

Crack energy density in an arbitrary direction ε_{φ} is expected to describe fracture behaviors of a mixed-mode crack. It was shown previously that ε_{φ} can be evaluated by a path independent integral with practically sufficient accuracy. In this paper, as another evaluation method of ε_{φ}, a method based on the relationship ε_{φ} and load-displacement curves is discussed. The contents are as follows (1) A relationship between initial crack lengths, load-displacement curves and ε_{φ} which holds until cracks start to grow is derived by considering the strain energies of the specimens with different initial crack lengths. A method to evaluate ε_{φ} from load-displacement curves is proposed based on this relationship. (2) Based on the method, the evaluation of ε_{φ} is tried from load-displacement curves obtained by finite element analyses and also experiments for specimens under tension with a crack inclined to the loading axis.

Original language | English |
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Pages (from-to) | 1383-1389 |

Number of pages | 7 |

Journal | Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A |

Volume | 54 |

Issue number | 503 |

Publication status | Published - 1988 Jul |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*,

*54*(503), 1383-1389.

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

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*, vol. 54, no. 503, pp. 1383-1389.

}

TY - JOUR

T1 - Crack energy density in an arbitrary direction and load-displacement curves

AU - Watanabe, Katsuhiko

AU - Utsunomiya, Takao

AU - Hirano, Yasuo

PY - 1988/7

Y1 - 1988/7

N2 - Crack energy density in an arbitrary direction εφ is expected to describe fracture behaviors of a mixed-mode crack. It was shown previously that εφ can be evaluated by a path independent integral with practically sufficient accuracy. In this paper, as another evaluation method of εφ, a method based on the relationship εφ and load-displacement curves is discussed. The contents are as follows (1) A relationship between initial crack lengths, load-displacement curves and εφ which holds until cracks start to grow is derived by considering the strain energies of the specimens with different initial crack lengths. A method to evaluate εφ from load-displacement curves is proposed based on this relationship. (2) Based on the method, the evaluation of εφ is tried from load-displacement curves obtained by finite element analyses and also experiments for specimens under tension with a crack inclined to the loading axis.

AB - Crack energy density in an arbitrary direction εφ is expected to describe fracture behaviors of a mixed-mode crack. It was shown previously that εφ can be evaluated by a path independent integral with practically sufficient accuracy. In this paper, as another evaluation method of εφ, a method based on the relationship εφ and load-displacement curves is discussed. The contents are as follows (1) A relationship between initial crack lengths, load-displacement curves and εφ which holds until cracks start to grow is derived by considering the strain energies of the specimens with different initial crack lengths. A method to evaluate εφ from load-displacement curves is proposed based on this relationship. (2) Based on the method, the evaluation of εφ is tried from load-displacement curves obtained by finite element analyses and also experiments for specimens under tension with a crack inclined to the loading axis.

UR - http://www.scopus.com/inward/record.url?scp=0024036711&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024036711&partnerID=8YFLogxK

M3 - Article

VL - 54

SP - 1383

EP - 1389

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

IS - 503

ER -