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Open AccessJournal ArticleDOI

A Statistical Consideration of Miner's Rule

TLDR
In this article, the conditions required for both the parameters of the log-normal and Weibull distribution functions of fatigue life and the cumulative damage rule to satisfy the statistical Miner's rule are derived.
About
This article is published in International Journal of Fatigue.The article was published on 1980-10-01 and is currently open access. It has received 49 citations till now. The article focuses on the topics: Reliability (statistics) & Weibull distribution.

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Citations
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Journal ArticleDOI

Stochastic fatigue damage modeling under variable amplitude loading

TL;DR: In this paper, a general methodology for stochastic fatigue life prediction under variable amplitude loading is proposed, which combines a nonlinear fatigue damage accumulation rule and a Stochastic S-N curve representation technique to achieve this objective.
Journal ArticleDOI

Corrosion fatigue effects on life estimation of deteriorated bridges under vehicle impacts

TL;DR: In this article, a reliability-based approach was proposed to evaluate the effects of corrosion fatigue on life estimation of deteriorated bridges subjected to dynamic vehicle loads, where the road surface deterioration and the structural member corrosion were considered in the vehicle-bridge dynamic system for stress range estimations.
Journal ArticleDOI

A statistically consistent fatigue damage model based on Miner’s rule

TL;DR: In this paper, a statistically consistent fatigue damage model under constant and variable amplitude loadings based on linear Miner's rule is proposed, which can quantitatively depict the probabilistic properties of fatigue damage and life.
Journal ArticleDOI

Efficient Methods for Time-Dependent Fatigue Reliability Analysis

TL;DR: In this article, two efficient methods for time-dependent fatigue reliability analysis are proposed based on a random process representation of material fatigue properties and a nonlinear damage accumulation rule, which represent different tradeoffs between accuracy and computational efficiency.
Journal ArticleDOI

Strain-based probabilistic fatigue life prediction of spot-welded joints

TL;DR: In this paper, a strain-based probabilistic fatigue life prediction methodology for spot-welded joints under variable amplitude loading history is developed, where a 3D FE model of a simplified joint with four spot welds is developed and a static stress strain analysis is performed first.
References
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Book ChapterDOI

Cumulative damage in fatigue

TL;DR: The aircraft designer today is faced with the necessity of estimating not only the strength of a structure, but also its life — a task with which he was not confronted before.
Book ChapterDOI

New method for the statistical evaluation of constant stress amplitude fatigue-test results

FA Bastenaire
TL;DR: In this article, it was shown that the severity of the strain on the crack-grind ratio is related to range and maximum values of the stress-intensity factor.
Journal ArticleDOI

A probabilistic interpretation of miner's rule. ii*

TL;DR: In this article, instead of the distributions of incremental crack extension having increasing failure rate, only the expected residual damage increment either in crack initiation or extension, given the damage exceeds a preassigned amount, is less than the damage increment which was expected for that load fluctuation before it was imposed.
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