2019
DOI: 10.1016/j.ijfatigue.2019.06.011
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Parametric probabilistic approach for cumulative fatigue damage using double linear damage rule considering limited data

Abstract: This work proposes a parametric probabilistic approach to model damage accumulation using the double linear damage rule (DLDR) considering the existence of limited experimental fatigue data. A probabilistic version of DLDR is developed in which the joint distribution of the knee-point coordinates is obtained as a function of the joint distribution of the DLDR model input parameters. Considering information extracted from experiments containing a limited number of data points, an uncertainty quantification fram… Show more

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Cited by 34 publications
(11 citation statements)
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“…However, in all experiments the total damage was greater than 1.0, verifying the implicit conservatism in BS EN 1999-1-3 [26]. Alternative damage accumulation methods have been developed and proposed such as nonlinear damage accumulation proposed by Zhu et al [30] or Dias et al [31].…”
Section: Fatigue Experimentsmentioning
confidence: 67%
“…However, in all experiments the total damage was greater than 1.0, verifying the implicit conservatism in BS EN 1999-1-3 [26]. Alternative damage accumulation methods have been developed and proposed such as nonlinear damage accumulation proposed by Zhu et al [30] or Dias et al [31].…”
Section: Fatigue Experimentsmentioning
confidence: 67%
“…where ( ) and for = 0,1, … , are known real functions and values, respectively with 0 ( ) = 1 and 0 = 1. The maximization problem is solved using the Lagrange multipliers for = 0,1, … , as [12], [13]…”
Section: Uncertainty Quantification Schemementioning
confidence: 99%
“…The significance of a dataset is tested using the mean-square convergence criterion. This criterion, essentially, look at the convergence of the sample statistics (mean and standard deviation) at a certain number of samples , which is independent of the size of the dataset [13].…”
Section: Uncertainty Quantification Schemementioning
confidence: 99%
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“…To a lesser extent, the model was used to assess the life cycle of building elements in research works V. Bolotin, V. Chirkov. Obviously, to use the model it is necessary to have a reliable estimate of the number of load cycles, that is, to predict the service durability it is necessary to have full load history data [2,3,4]. As for the elements of highway bridges and other elements of structures, the required data is determined so approximately that the reliability of the model is lost.…”
Section: Introductionmentioning
confidence: 99%