A unified statistical methodology for modeling fatigue - download pdf or read online

By Enrique Castillo

ISBN-10: 1402091818

ISBN-13: 9781402091810

ISBN-10: 1402091826

ISBN-13: 9781402091827

The ebook provides a unified probabilistic method of overview 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 review and lifestyles prediction linked to a given pressure or pressure background. It additionally treats machine courses to do the entire above.

In addition, a severe overview of current versions in line with the hot proposed substitute version is likely one of the major goals of the publication, attempting to switch the minds of engineers concerned about layout jobs.

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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. (2005a)). 4. Limited range: Experience shows that the selected dimensionless variables N ∗ and Δσ ∗ have a finite lower end, which must coincide with the theoretical end of the selected cdf.

Due to the random character of fatigue lifetime, if several specimens were subjected to this type of tests with the same values of σm and σM we would not obtain the same, but different lifetimes. 1. INTRODUCTION 37 life of the specimen is random, the model must be statistical in nature, so, from the very beginning we treat fatigue lifetime N as a random variable. As we shall see later in this chapter, based on the weakest-link principle, the Weibull or Gumbel distributions seem to be the most adequate and theoretically justified distributions to reproduce fatigue lifetime from a statistical point of view (see Castillo et al.

11). 3 Compatibility of crack growth and S-N models In the next step, we consider the required compatibility between the crack growth models and the S-N field models. Here we consider that the failure crack sizes are dependent on the stress pair T ∗ . Let a∗c = h∗ (T ∗ ) be the failure crack size in terms of the test stresses T ∗ . 21), respectively. This condition is illustrated in Fig. 12 where the coincidence of the percentile values of the S-N and the crack growth curves is shown. We recommend the reader to devote some time to fully understand the meaning of the compatibility condition implied by this figure.

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A unified statistical methodology for modeling fatigue damage by Enrique Castillo


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