### Abstract

Failure probability of welds by stress corrosion cracking (SCC) in austenitic stainless steel piping is analyzed by probabilistic fracture mechanics (PFM) approach based on an electro-chemical crack growth model named FRI model[1] through which a basic equation is derived. Introducing the relation among dK/dt, da/dt and dK/da (K: stress intensity factor, a: crack depth and t: time) into the basic equation, modified basic equation is derived which can give da/dt in explicit form in contrast to the fact that the basic equation is transcendental and can be solved only numerically by iterative method. From numerical evaluation of K distribution at a crack tip under bending stress, it is realized that there exists a relation between a and K and it can be expressed approximately by quadratic function, i.e. K=K_{m}{1-(a-a _{m})^{2}/a_{m} ^{2}}. By examining K as function of a, a_{m} is proved to be a linear function of membrane stress to bending stress ratio. These findings are incorporated into the modified basic equation which is shown to be able to calculate da/dt without instability and needs no iteration. Stratified Monte-Carlo method is introduced which defines two dimensional sampling space composed of a/c (c is crack length at surface) ranging from 0 to 1 and K from 0 to Kw which has to be defined referring to KSCC. Log-normal distributions are anticipated for a/c and K probability distributions. The median of K is decided referring to median of a in Brückner model. Parameter surveys for cumulative failure probability (CFP) performed with the basic equation and the modified basic equation give very close results. In this study, the residual stress distribution generated by residual stress at welding is anticipated to be tensile on inner surface and compressive on outer surface like bending stress distribution. Therefore the simulation is performed under bending dominative condition. The modified basic equation is proved to need about 1/2 calculation time of needed by the original basic equation in the CFP simulation.

Original language | English |
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Title of host publication | ASME 2011 Pressure Vessels and Piping Conference, PVP 2011 |

Pages | 577-584 |

Number of pages | 8 |

DOIs | |

Publication status | Published - 2011 Dec 1 |

Event | ASME 2011 Pressure Vessels and Piping Conference, PVP 2011 - Baltimore, MD, United States Duration: 2011 Jul 17 → 2011 Jul 21 |

### Publication series

Name | American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP |
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Volume | 1 |

ISSN (Print) | 0277-027X |

### Other

Other | ASME 2011 Pressure Vessels and Piping Conference, PVP 2011 |
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Country | United States |

City | Baltimore, MD |

Period | 11/7/17 → 11/7/21 |

### ASJC Scopus subject areas

- Mechanical Engineering

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## Cite this

*ASME 2011 Pressure Vessels and Piping Conference, PVP 2011*(pp. 577-584). (American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP; Vol. 1). https://doi.org/10.1115/PVP2011-57926