2021
DOI: 10.1016/j.ijfatigue.2020.105943
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A probabilistic estimation approach for the failure forecast method using Bayesian inference

Abstract: Positive-feedback mechanisms such as fatigue induce a self-accelerating behavior, captured by models displaying infinite limit-state asymptotics, collectively known as the failure forecast method (FFM). This paper presents a Bayesian model parameter estimation approach to the fully nonlinear FFM implementation and compares the results to the classic linear regression formulation, including a regression uncertainty model. This process is demonstrated in a cyclic loading fatigue crack propagation application, bo… Show more

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Cited by 3 publications
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“…The posterior predictive distribution measures the possible unobserved values distribution on observed values conditional in Bayesian statistics [44][45][46][47][48].…”
Section: Bayesian Posterior Predictive Distributionmentioning
confidence: 99%
“…The posterior predictive distribution measures the possible unobserved values distribution on observed values conditional in Bayesian statistics [44][45][46][47][48].…”
Section: Bayesian Posterior Predictive Distributionmentioning
confidence: 99%