1989
DOI: 10.1016/0029-5493(89)90267-7
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Probabilistic models of fatigue crack growth: Results and speculations

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Cited by 40 publications
(18 citation statements)
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“…For a detailed discussion of the randomization of the Paris-Erdogan model and its justification on the basis of empirical data, the interested reader may refer to [30]. Here, we just point out that this representation of the process noise implies that on average is greater than 1 and, thus, the degradation process is accelerated with respect to that which would be obtained by the same model without process noise.…”
Section: Model Descriptionmentioning
confidence: 99%
“…For a detailed discussion of the randomization of the Paris-Erdogan model and its justification on the basis of empirical data, the interested reader may refer to [30]. Here, we just point out that this representation of the process noise implies that on average is greater than 1 and, thus, the degradation process is accelerated with respect to that which would be obtained by the same model without process noise.…”
Section: Model Descriptionmentioning
confidence: 99%
“…The justification of this choice is twofold: on one side, such a model has been shown to suitably approximate the degradation evolution of mechanical components subject to fatigue loads [21]; on the other side, it has been successfully applied in applications to prognostics (e.g., [7]). …”
Section: A Degradation and Measurement Modelsmentioning
confidence: 99%
“…Several models have been developed in the literature to describe the evolution of this complex physical phenomenon (e.g., gamma processes [19], Weibull-based discrete processes [20], etc.). In this work, we adopt the randomized Paris-Erdogan fatigue crack growth model, which is a popular approach in the literature (e.g., [21]). …”
Section: A Degradation and Measurement Modelsmentioning
confidence: 99%
“…In this work, we adopt the randomized Paris -Erdogan fatigue crack growth model, a popular approach propounded in the literature (e.g., Provan 1987, Kozin andBogdanoff 1989). The justification of this choice is threefold: on one side, such model has been shown to suitably approximate the degradation evolution of mechanical components subject to fatigue loads (Provan 1987, Kozin andBogdanoff 1989); on another side, it has been successfully applied in applications to prognostics (e.g., Cadini et al 2009); finally, the precise modeling of the crack growth process is not the central focus of the present work and, in this view, the simplicity of the model adopted is appealing for the purposes of the paper. Its most widely used expressions is:…”
Section: Reference Examplementioning
confidence: 99%