### Abstract

Numerical simulation was conducted on the initiation and growth of multiple small cracks under creep fatigue condition based on a three-dimensional stochastic model. It was assumed in the model that (1) (quasi) three-dimensional polycrystal grains were numerically generated on the basis of an isotropic grain growth model; (2) the fracture driving force on each grain boundary was given as a function of the grain boundary's angle to the stress axis; (3) each grain had a different fracture resistance, and (4) cracks did not initiate and grow inside the stress relaxation zone of the preexistent crack. Crack density, angle of an initiated crack, crack propagation rate, and cumulative probability of crack length were examined by the simulation.

Original language | English |
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Pages (from-to) | 708-714 |

Number of pages | 7 |

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

Volume | 56 |

Issue number | 524 |

Publication status | Published - Apr 1990 |

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*,

*56*(524), 708-714.

**Monte Carlo simulation of creep-fatigue small cracks based on a three-dimensional model of random fracture resistance of grain boundaries.** / Tada, Naoya; Kitamura, Takayuki; Ohtani, Ryuichi.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*, vol. 56, no. 524, pp. 708-714.

}

TY - JOUR

T1 - Monte Carlo simulation of creep-fatigue small cracks based on a three-dimensional model of random fracture resistance of grain boundaries

AU - Tada, Naoya

AU - Kitamura, Takayuki

AU - Ohtani, Ryuichi

PY - 1990/4

Y1 - 1990/4

N2 - Numerical simulation was conducted on the initiation and growth of multiple small cracks under creep fatigue condition based on a three-dimensional stochastic model. It was assumed in the model that (1) (quasi) three-dimensional polycrystal grains were numerically generated on the basis of an isotropic grain growth model; (2) the fracture driving force on each grain boundary was given as a function of the grain boundary's angle to the stress axis; (3) each grain had a different fracture resistance, and (4) cracks did not initiate and grow inside the stress relaxation zone of the preexistent crack. Crack density, angle of an initiated crack, crack propagation rate, and cumulative probability of crack length were examined by the simulation.

AB - Numerical simulation was conducted on the initiation and growth of multiple small cracks under creep fatigue condition based on a three-dimensional stochastic model. It was assumed in the model that (1) (quasi) three-dimensional polycrystal grains were numerically generated on the basis of an isotropic grain growth model; (2) the fracture driving force on each grain boundary was given as a function of the grain boundary's angle to the stress axis; (3) each grain had a different fracture resistance, and (4) cracks did not initiate and grow inside the stress relaxation zone of the preexistent crack. Crack density, angle of an initiated crack, crack propagation rate, and cumulative probability of crack length were examined by the simulation.

UR - http://www.scopus.com/inward/record.url?scp=0025414163&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025414163&partnerID=8YFLogxK

M3 - Article

VL - 56

SP - 708

EP - 714

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 - 524

ER -