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This book aims to provide a unified methodology to derive models for fatigue life prediction. This includes S-N, e-N and crack propagation models. This book is unique in that it contemplates the three main fatigue approaches (stress-based, strain-based and fracture mechanics) from a novel and integrated point of view. 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. After an introductory chapter in which an overview of the book is provided, the following chapters are devoted to derive models for the S-N fields for fixed and varying stress level, the e-N fields, the relations between the two, and an analysis of the size effect in fatigue problems. Next, crack grow models are derived based on fracture mechanics, statistical and common sense considerations, which lead to functional equations providing non-arbitrary models. Two different approaches are given, leading to two classes of models, the intersection class of which is derived through compatibility analysis. Then the compatibility of the S-N curves model and the crack growth model, which are two aspects of the same fatigue problem, are used to obtain a model which allows both approaches to be connected. Finally, the problem of selection damage measures is analyzed, and some damage measures are proposed as the most convenient, including the probability of failure and a normalized measure related to the percentile curve. This leads to very simple and useful damage accumulation models, which are illustrated with some examples. The book ends with an appendix with a short description of some classical and some more recent fatigue models of those existing in the literature. .

Fatigue. --- Materials -- Fatigue -- Mathematical models. --- Materials -- Fatigue. --- Materials --- Fatigue --- Mathematical models. --- Engineering --- Engineering materials --- Industrial materials --- Fatigue of materials --- Fatigue testing --- Materials science. --- Statistics. --- Structural mechanics. --- Mechanical engineering. --- Quality control. --- Reliability. --- Industrial safety. --- Materials Science. --- Materials Science, general. --- Mechanical Engineering. --- Structural Mechanics. --- Quality Control, Reliability, Safety and Risk. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Engineering design --- Manufacturing processes --- Fracture mechanics --- Strains and stresses --- Strength of materials --- Structural failures --- Vibration --- Dynamic testing --- Testing --- Materials. --- Mechanics. --- Mechanics, Applied. --- System safety. --- Solid Mechanics. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Safety, System --- Safety of systems --- Systems safety --- Accidents --- Industrial safety --- Systems engineering --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Machinery --- Steam engineering --- Prevention --- Statistics . --- Industrial accidents --- Industries --- Job safety --- Occupational hazards, Prevention of --- Occupational health and safety --- Occupational safety and health --- Prevention of industrial accidents --- Prevention of occupational hazards --- Safety, Industrial --- Safety engineering --- Safety measures --- Safety of workers --- System safety --- Dependability --- Trustworthiness --- Conduct of life --- Factory management --- Industrial engineering --- Reliability (Engineering) --- Sampling (Statistics) --- Standardization --- Quality assurance --- Quality of products --- Material science --- Physical sciences