Early Prediction of Creep Failure via Bayesian Inference of Evolving Barriers
Juan Carlos Verano-Espitia, Tero M\"akinen, Mikko J. Alava, J\'er\^ome Weiss

TL;DR
This paper introduces a Bayesian inference framework to predict creep failure times by analyzing evolving activation barriers, enabling early and uncertainty-aware lifetime forecasts from acoustic emission data.
Contribution
It develops a novel Bayesian approach to model and infer the evolving energy landscape governing creep, providing early predictions of failure.
Findings
Early predictions at about 10% of the lifetime are feasible.
The method links microscopic barrier evolution to macroscopic creep behavior.
Posterior distributions quantify uncertainty in lifetime forecasts.
Abstract
Creep under a sustained load can persist for long times yet culminate in abrupt yielding or rupture, implying a finite lifetime even when the material appears solid. Here, we formulate lifetime prediction as Bayesian inference over an evolving activation-energy landscape. A time-dependent distribution of activation barriers controls deformation: stress lowers barriers, while irreversible rearrangements deplete the weakest sites and reshape the low-barrier tail. Using early-time acoustic emission data, Bayesian inference estimates the evolving barrier statistics in each sample and yields posterior predictive distributions for the time-to-failure. This approach provides online uncertainty-aware lifetime forecasts -- already at around 10~\% of the sample lifetime -- that link microscopic barrier evolution to macroscopic creep dynamics.
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