A unified statistical methodology for modeling fatigue by Enrique Castillo

By Enrique Castillo

The ebook supplies a unified probabilistic method of review 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 assessment and existence prediction linked to a given rigidity or pressure heritage. It additionally treats computing device courses to do all of the above.

In addition, a serious assessment of current versions in keeping with the recent proposed substitute version is among the major goals of the e-book, attempting to swap the minds of engineers taken with layout jobs.

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Example text

Extreme models in fatigue . . . . . . . 1 The Weibull model . . . . . . . . . 2 The minimal Gumbel model . . . . . . 4 Model for constant stress range and level . . 1 Derivation of the model . . . . . . . 2 Parameter estimation . . . . . . . . 3 Alternative methods for dealing with run-outs . 5 Model for varying range and given stress level . 1 Derivation of the model . . . . . . . 2 Some weaknesses of the proposed model . . . 3 Parameter estimation .

2 Crack growth curves for a varying stress pair T ∗ In the previous subsection we have derived the general form of the crack growth curves when Δσ ∗ and σ ∗ are held constant during the test. In this subsection we model how these curves change when changing the stress pair T ∗ , or equivalently ∗ ∗ and/or σM . σm Compatibility condition of a∗ |N1∗ , T1∗ and a∗ |N ∗ , T ∗ The basic idea for deriving the effect of Δσ ∗ and σ ∗ on the crack growth curve consists in considering the possibility of a simple damage accumulation rule.

In fact, a method based on this normalization is presented in Chap. 2. In Fig. 16 we illustrate another percentile based normalization but now related to a N0∗ reference lifetime, from which two equivalent points can also be interpreted as load-lifetime points associated with identical critical initial crack sizes. 16: Percentile based normalization related to a N0∗ reference lifetime. 51) Δσ0∗ = v ∗ (Δσ ∗ , N ∗ ; N0∗ | σ ∗ , L∗ ). 50). As with the previous normalization, if all data points are normalized to the reference level N0∗ , they can be used to estimate the Weibull parameters of the random variable Δσ0∗ given N0∗ .

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