Stochastic modelling and prediction of fatigue crack propagation using piecewise-deterministic Markov processes
| dc.contributor.author | BEN ABDESSALEM, Anis | |
| hal.structure.identifier | Biology, genetics and statistics [BIGS] | |
| hal.structure.identifier | Institut Élie Cartan de Lorraine [IECL] | |
| dc.contributor.author | AZAÏS, Romain | |
| hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
| dc.contributor.author | TOUZET-CORTINA, Marie | |
| hal.structure.identifier | Biology, genetics and statistics [BIGS] | |
| hal.structure.identifier | Institut Élie Cartan de Lorraine [IECL] | |
| dc.contributor.author | GÉGOUT-PETIT, A | |
| dc.contributor.author | PUIGGALI, M | |
| dc.date.accessioned | 2021-05-14T09:54:05Z | |
| dc.date.available | 2021-05-14T09:54:05Z | |
| dc.date.created | 2015-07-21 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/77575 | |
| dc.description.abstractEn | Fatigue crack propagation is a stochastic phenomenon due to the inherent uncertainties originating from material properties, environmental conditions and cyclic mechanical loads. Stochastic processes offer thus an appropriate framework for modelling and predicting crack propagation. In this paper, the fatigue crack growth is modelled and predicted by a piecewise-deterministic Markov process associated with deterministic crack laws. First, a regime-switching model is used to express the transition between Paris' regime and rapid propagation which occurs before failure. Both regimes of propagation are governed by a deterministic equation whose parameters are randomly selected in a finite state space. This one has been adjusted from real data available in the literature. The crack growth behaviour is well-captured and the transition between both regimes is well-estimated by a critical stress intensity factor range. The second purpose of our investigation deals with the prediction of the fatigue crack path and its variability based on measurements taken at the beginning of the propagation. The results show that our method based on this class of stochastic models associated with an updating method provides a reliable prediction and can be an efficient tool for safety analysis of structures in a large variety of engineering applications. In addition, the proposed strategy requires only few information to be effective and is not time-consuming. | |
| dc.description.sponsorship | Contrôle tolérant aux pannes pour les systèmes embarqués - ANR-09-SEGI-0004 | |
| dc.language.iso | en | |
| dc.subject.en | Piecewise-deterministic Markov processes | |
| dc.subject.en | Stochastic processes | |
| dc.subject.en | Fatigue crack propagation | |
| dc.subject.en | Uncertainties | |
| dc.subject.en | Regime-switching models | |
| dc.subject.en | Prediction | |
| dc.title.en | Stochastic modelling and prediction of fatigue crack propagation using piecewise-deterministic Markov processes | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Sciences de l'ingénieur [physics] | |
| dc.subject.hal | Statistiques [stat] | |
| dc.subject.hal | Mathématiques [math]/Mathématiques générales [math.GM] | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| hal.identifier | hal-01178988 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01178988v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BEN%20ABDESSALEM,%20Anis&AZA%C3%8FS,%20Romain&TOUZET-CORTINA,%20Marie&G%C3%89GOUT-PETIT,%20A&PUIGGALI,%20M&rft.genre=preprint |
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