By Enrique Castillo
The publication supplies a unified probabilistic method of evaluate of fatigue harm, together with all steps to be undefined, beginning with fatigue checking out making plans, fabric characterization via lab experiments, version choice, parameter estimation and harm evaluate and existence prediction linked to a given tension or pressure heritage. It additionally treats computing device courses to do the entire above.
In addition, a serious review of present versions in response to the hot proposed replacement version is without doubt one of the major goals of the publication, attempting to switch the minds of engineers concerned about layout jobs.
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Extra info for A unified statistical methodology for modeling fatigue damage
19) This is a functional equation, where the unknowns are the functions λ( ), δ( ), β( ) and F (x; λ, δ, β), which only some families of distributions, such as the Weibull and Gumbel families, satisfy. 3. Limit behavior: To include the extreme case of the size of the supposed pieces constituting the element going to zero, or the number of pieces going to inﬁnity, it is convenient for the distribution function family to be an asymptotic family. It is well known that in the case of independence, there are only three asymptotic distributions, namely, Weibull and Gumbel and Frechet (see Castillo (1988) and Castillo et al.
3 Example of applications . . . . . . . 9 Concluding remarks . . . . . . . . . 10 Appendix A: Derivation of the general model . 11 Appendix B: S-N curves for the general model E. Castillo, A. V. 2009 . . . . . . . . . . . . . . . . . . . 36 38 41 41 42 43 43 45 48 49 49 53 55 56 57 59 64 65 69 71 72 84 85 89 35 ¨ CHAPTER 2. 1 Introduction In the evaluation and prediction of the fatigue lifetime of machines and structures the role of mathematical and statistical models is crucial, due to the high complexity of the fatigue problem, in which the consideration of the stress range, stress level and the size eﬀect, together with an eﬃcient estimation of the corresponding parameters represents one of the most diﬃcult and attracting challenges, which have not yet been satisfactorily solved.
The use of some existing models, together with a good knowledge of physical or metallurgical aspects of the lifetime phenomenon, could represent an adequate approach for tackling fatigue problems, and for a limited judgment or interpretation on the experimental results obtained. However, it would neither allow for extrapolation of results outside the testing range considered, nor contribute to providing an overview about the general treatment of fatigue evaluation and prediction, indispensable progression towards a better understanding of this complex phenomenon or to developing appropriate strategies and adequate test planning, as an alternative to a simple data ﬁtting such as those commonly used in the past.