Probabilistic Fatigue Crack Growth Analysis with Reliability Updating

by Andrew Tallin, Polytechnic Univ, United States,
Finn Kirkimo, Polytechnic Univ, United States,
Henrik O. Madsen, Polytechnic Univ, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering


A randomized fatigue crack growth model based on the Paris and Erdogan crack growth equation is used to estimate the reliability of fatigue sensitive details in steel bridges. This model accounts for uncertainties in loading, material properties, inspection precision, and initial crack size. First order reliability methods are used to estimate the probabilities of failure and of events described by inspection results. Two types of inspection results are considered, 1) a detected and measured crack and 2) no crack detected. An example of fatigue in a welded cover plate is used to demonstrate the method.

Subject Headings: Cracking | Steel bridges | Fatigue (material) | Probability | Inspection | Material properties | Uncertainty principles | Paris | France | Europe

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