### Abstract

A stochastic model and a method of simulation of the initiation and the early propagation of creep-fatigue small cracks along grain boundaries were proposed. In the model, grain boundaries between two adjacent triple points were projected and linked on a straight line perpendicular to the applied stress axis, and their length was given as random variables of a normal distribution. The grain boundaries had their own fracture resistances, the magnitudes of which were given as uniform random numbers. The fracture resistance of each grain boundary decreased by a constant magnitude corresponding to the driving force of one fatigue cycle. When the resistance became zero or a negative value, the grain boundary was assumed to fracture and to yield an intergranular facet of small crack. Based on this model, a numerical calculation was done for a smooth specimen of 304 stainless steel subjected to the slow-fast strain cycle of 1%-total strain range at 923K in a vacuum. The result of simulation on crack density, cumulative probability of crack length, and crack propagation rates coincided with the experimental results.

Original language | English |
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Pages (from-to) | 1312-1316 |

Number of pages | 5 |

Journal | Transactions of the Japan Society of Mechanical Engineers Series A |

Volume | 54 |

Issue number | 503 |

DOIs | |

Publication status | Published - Jan 1 1988 |

Externally published | Yes |

### Keywords

- Creep-Fatigue
- Initiation and Early Propagation
- Random Fracture Resistance
- Simulation
- Small Crack
- Stochastic Model

### ASJC Scopus subject areas

- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering

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## Cite this

*Transactions of the Japan Society of Mechanical Engineers Series A*,

*54*(503), 1312-1316. https://doi.org/10.1299/kikaia.54.1312