## A Unified Statistical Methodology for Modeling Fatigue DamageThis book is an attempt to provide a uni?ed methodology to derive models for fatigue life. This includes S-N, ?-N and crack propagation models. This is not a conventional book aimed at describing the fatigue fundamentals, but rather a book in which the basic models of the three main fatigue approaches, the stress-based, the strain-based and the fracture mechanics approaches, are contemplated from a novel and integrated point of view. On the other hand, as an alternative to the preferential attention paid to deterministic models based on the physical, phenomenological and empirical description of fatigue, their probabilistic nature is emphasized in this book, in which stochastic fatigue and crack growth models are presented. This book is the result of a long period of close collaborationbetween its two authors who, although of di?erent backgrounds, mathematical and mechanical, both have a strong sense of engineering with respect to the fatigue problem. When the authors of this book ?rst approached the fatigue ?eld in 1982 (twenty six years ago), they found the following scenario: 1. Linear, bilinear or trilinear models were frequently proposed by relevant laboratoriesandacademiccenterstoreproducetheW ̈ ohler?eld. Thiswas the case of well known institutions, which justi?ed these models based on clientrequirementsorpreferences. Thisledtotheinclusionofsuchmodels and methods as, for example, the up-and-down, in standards and o?cial practical directives (ASTM, Euronorm, etc.), which have proved to be unfortunate. |

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### Contents

127 | |

LXVII | 131 |

LXVIII | 135 |

LXX | 138 |

LXXI | 141 |

LXXII | 144 |

LXXIV | 146 |

LXXV | 149 |

LXXVI | 152 |

LXXVII | 153 |

LXXVIII | 154 |

LXXIX | 156 |

LXXX | 158 |

159 | |

LXXXII | 165 |

LXXXIII | 167 |

LXXXV | 168 |

LXXXVI | 174 |

175 | |

LXXXVIII | 180 |

LXXXIX | 181 |

XC | 182 |

XCI | 186 |

XCIII | 190 |

191 | |

XCV | 196 |

XCVII | 198 |

XCVIII | 199 |

C | 200 |

CIII | 201 |

CIV | 202 |

CVII | 204 |

CVIII | 205 |

CX | 213 |

219 | |

229 | |

### Other editions - View all

A Unified Statistical Methodology for Modeling Fatigue Damage Enrique Castillo,Alfonso Fernandez-Canteli No preview available - 2009 |

A Unified Statistical Methodology for Modeling Fatigue Damage Enrique Castillo,Alfonso Fernandez-Canteli No preview available - 2010 |

### Common terms and phrases

Act0 Actq associated asymptotes Castillo compatibility condition considered constant stress level constant stress range corresponding crack growth curves crack growth model crack growth rate crack sizes cumulative distribution function cycle fatigue damage accumulation damage measure deﬁne densities depend derive diﬀerent lengths dimensional dimensional analysis dimensionless parameters dimensionless variables eﬀect example fatigue damage fatigue lifetime fatigue limit fatigue model Figure ﬁrst ﬁtted ﬁxed ﬂaw fracture mechanics functional equation Gumbel distribution Gumbel model illustrated initial crack Kolmogorov-Smirnov test length independence assumption linear load history loading factor location parameter log-Weibull logarithmic logN maximum likelihood model parameters normalization variable number of cycles obtained parameter estimates percentile curves physical probabilistic probability of failure properties proposed qmax random variable regression resulting run-outs S-N curves S-N ﬁeld S-N model satisﬁes scale parameter Sect signiﬁcance statistical strain range Table values W¨ohler weakest link principle Weibull distribution Weibull model Δσ