### Abstract

Crack energy density is the parameter which is defined without any restriction on constitutive equation and is expected to successfully describe all kinds of behaviors of a crack. In this paper, the fundamental properties of crack energy density subject to mixed mode loading are discussed and, moreover, the evaluation of crack energy density by FEM is tried. The contents are as follows; 1) It is shown that total crack energy density in an arbitrary direction epsilon phi can be separated into each deformation mode contribution. 2) It is shown that epsilon phi and each deformation mode contribution can be expressed by path independent integrals without any restriction on constitutive equation. 3) The elastic finite element analyses of epsilon phi and each deformation mode contribution are carried out using path independent integrals for a specimen under tension with a crack inclined to the loading axis. Through the results of these analyses, the evaluation method of each deformation mode contribution of epsilon phi is discussed.

Original language | English |
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Pages (from-to) | 1285-1292 |

Number of pages | 8 |

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

Volume | 53 |

Issue number | 491 |

Publication status | Published - 1987 Jul |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

**SEPARATION OF EACH DEFORMATION MODE CONTRIBUTION FROM TOTAL CRACK ENERGY DENSITY AND ITS EVALUATION BY PATH-INDEPENDENT INTEGRAL.** / Watanabe, Katsuhiko; Utsunomiya, Takao.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*, vol. 53, no. 491, pp. 1285-1292.

}

TY - JOUR

T1 - SEPARATION OF EACH DEFORMATION MODE CONTRIBUTION FROM TOTAL CRACK ENERGY DENSITY AND ITS EVALUATION BY PATH-INDEPENDENT INTEGRAL.

AU - Watanabe, Katsuhiko

AU - Utsunomiya, Takao

PY - 1987/7

Y1 - 1987/7

N2 - Crack energy density is the parameter which is defined without any restriction on constitutive equation and is expected to successfully describe all kinds of behaviors of a crack. In this paper, the fundamental properties of crack energy density subject to mixed mode loading are discussed and, moreover, the evaluation of crack energy density by FEM is tried. The contents are as follows; 1) It is shown that total crack energy density in an arbitrary direction epsilon phi can be separated into each deformation mode contribution. 2) It is shown that epsilon phi and each deformation mode contribution can be expressed by path independent integrals without any restriction on constitutive equation. 3) The elastic finite element analyses of epsilon phi and each deformation mode contribution are carried out using path independent integrals for a specimen under tension with a crack inclined to the loading axis. Through the results of these analyses, the evaluation method of each deformation mode contribution of epsilon phi is discussed.

AB - Crack energy density is the parameter which is defined without any restriction on constitutive equation and is expected to successfully describe all kinds of behaviors of a crack. In this paper, the fundamental properties of crack energy density subject to mixed mode loading are discussed and, moreover, the evaluation of crack energy density by FEM is tried. The contents are as follows; 1) It is shown that total crack energy density in an arbitrary direction epsilon phi can be separated into each deformation mode contribution. 2) It is shown that epsilon phi and each deformation mode contribution can be expressed by path independent integrals without any restriction on constitutive equation. 3) The elastic finite element analyses of epsilon phi and each deformation mode contribution are carried out using path independent integrals for a specimen under tension with a crack inclined to the loading axis. Through the results of these analyses, the evaluation method of each deformation mode contribution of epsilon phi is discussed.

UR - http://www.scopus.com/inward/record.url?scp=0023382887&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023382887&partnerID=8YFLogxK

M3 - Article

VL - 53

SP - 1285

EP - 1292

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 - 491

ER -