### Abstract

Simulations of fatigue in piping and reactor pressure vessels have been performed using an approach which combines models for initiation and propagation of surface cracks. The statistical distribution of the number of cycles to crack initiation (i.e., 3-mm crack) is considered to be lognormal. The medium number of cycles to crack initiation is a function of the material type, water/air environment, temperature, dissolved oxygen content, sulfur content and strain rate. The fatigue damage due to various stress amplitudes is calculated by Miner's rule, which is used to predict the statistical distribution of cycles to initiation. The probability of crack initiation equals the probability that the damage ≥1. Initiated fatigue cracks grow based on fracture mechanics rules. The parameters governing the fatigue crack growth rates are considered stochastic variables. A Latin Hypercube simulation approach has been developed to predict the probability that an initiated flaw will extend by fatigue crack growth mechanisms and become a through-wall flaw.

Original language | English |
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Title of host publication | American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP |

Pages | 27-32 |

Number of pages | 6 |

Volume | 373 |

Publication status | Published - 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Industrial and Manufacturing Engineering
- Mechanical Engineering

### Cite this

*American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP*(Vol. 373, pp. 27-32)

**A probabilistic model for fatigue crack initiation and propagation.** / Khaleel, M. A.; Simonen, F. A.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP.*vol. 373, pp. 27-32.

}

TY - CHAP

T1 - A probabilistic model for fatigue crack initiation and propagation

AU - Khaleel, M. A.

AU - Simonen, F. A.

PY - 1998

Y1 - 1998

N2 - Simulations of fatigue in piping and reactor pressure vessels have been performed using an approach which combines models for initiation and propagation of surface cracks. The statistical distribution of the number of cycles to crack initiation (i.e., 3-mm crack) is considered to be lognormal. The medium number of cycles to crack initiation is a function of the material type, water/air environment, temperature, dissolved oxygen content, sulfur content and strain rate. The fatigue damage due to various stress amplitudes is calculated by Miner's rule, which is used to predict the statistical distribution of cycles to initiation. The probability of crack initiation equals the probability that the damage ≥1. Initiated fatigue cracks grow based on fracture mechanics rules. The parameters governing the fatigue crack growth rates are considered stochastic variables. A Latin Hypercube simulation approach has been developed to predict the probability that an initiated flaw will extend by fatigue crack growth mechanisms and become a through-wall flaw.

AB - Simulations of fatigue in piping and reactor pressure vessels have been performed using an approach which combines models for initiation and propagation of surface cracks. The statistical distribution of the number of cycles to crack initiation (i.e., 3-mm crack) is considered to be lognormal. The medium number of cycles to crack initiation is a function of the material type, water/air environment, temperature, dissolved oxygen content, sulfur content and strain rate. The fatigue damage due to various stress amplitudes is calculated by Miner's rule, which is used to predict the statistical distribution of cycles to initiation. The probability of crack initiation equals the probability that the damage ≥1. Initiated fatigue cracks grow based on fracture mechanics rules. The parameters governing the fatigue crack growth rates are considered stochastic variables. A Latin Hypercube simulation approach has been developed to predict the probability that an initiated flaw will extend by fatigue crack growth mechanisms and become a through-wall flaw.

UR - http://www.scopus.com/inward/record.url?scp=0031644242&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031644242&partnerID=8YFLogxK

M3 - Chapter

VL - 373

SP - 27

EP - 32

BT - American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP

ER -