Download A unified statistical methodology for modeling fatigue by Enrique Castillo PDF

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.

Show description

Read Online or Download A unified statistical methodology for modeling fatigue damage PDF

Similar probability books

Stochastics: Introduction to Probability and Statistics (de Gruyter Textbook)

This e-book is a translation of the 3rd version of the good authorised German textbook 'Stochastik', which offers the basic rules and result of either chance concept and records, and includes the fabric of a one-year direction. The stochastic thoughts, types and techniques are inspired by means of examples and difficulties after which constructed and analysed systematically.

Probability and Random Processes (3rd Edition)

The 3rd variation of this article supplies a rigorous advent to likelihood concept and the dialogue of an important random approaches in a few intensity. It comprises a number of subject matters that are appropriate for undergraduate classes, yet aren't normally taught. it really is compatible to the newbie, and will offer a flavor and encouragement for extra complex paintings.

Topics in Spatial Stochastic Processes: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, July 1-8, 2001

The idea of stochastic strategies listed by means of ordered set has been the topic of a lot study over the last 20 years. the target of this CIME foreign summer season institution was once to convey to a wide viewers of younger probabilists the overall conception of spatial procedures, together with the idea of set-indexed martingales and to offer the various branches of functions of this concept, together with stochastic geometry, spatial facts, empirical approaches, spatial estimators and survival research.

Extra info for A unified statistical methodology for modeling fatigue damage

Example text

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.

Download PDF sample

Rated 4.83 of 5 – based on 48 votes