Download e-book for kindle: A unified statistical methodology for modeling fatigue by Enrique Castillo

By Enrique Castillo

ISBN-10: 1402091818

ISBN-13: 9781402091810

ISBN-10: 1402091826

ISBN-13: 9781402091827

The e-book supplies a unified probabilistic method of assessment of fatigue harm, together with all steps to be undefined, beginning with fatigue trying out making plans, fabric characterization via lab experiments, version choice, parameter estimation and harm overview and lifestyles prediction linked to a given rigidity or pressure background. It additionally treats machine courses to do all of the above.

In addition, a serious evaluate of current versions in keeping with the hot proposed substitute version is likely one of the major goals of the booklet, attempting to switch the minds of engineers all for layout jobs.

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Extra resources for A unified statistical methodology for modeling fatigue damage

Example text

N − 1. 1. Let i = 1 and r = n and compute βˆ1jn , λ 2. Apply the robust median function to each of the above sets of estimates to obtain the corresponding overall estimates: βˆM ED = median(βˆ1,2,n , βˆ1,3,n , . . , βˆ1,n−1,n ), ˆ M ED = median(λ ˆ 1,2,n , λ ˆ 1,3,n , . . , λ ˆ 1,n−1,n ), λ ˆ ˆ ˆ ˆ δM ED = median(δ1,2,n , δ1,3,n , . . 34) where median(y1 , y2 , . . , yn ) is the median of {y1 , y2 , . . , yn }. The reason for setting i = 1 and r = n in Step 1 is that the range of the random variable in this case depends on the parameters.

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. As a consequence, reliable failure prediction, engineering design and risk analysis in fatigue are not possible without the help of statistical models.

As a consequence, reliable failure prediction, engineering design and risk analysis in fatigue are not possible without the help of statistical models. 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.

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A unified statistical methodology for modeling fatigue damage by Enrique Castillo

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