Modélisation et estimation des processus de dégradation avec application en fiabilité des structures

Abstract : The characteristic level of degradation of a given structure is modeled through a stochastic process called the degradation process. The random evolution of the degradation process is governed by a differential system with markovian environment.

We put the associated reliability framework by considering the failure of the structure once the degradation process reaches a critical threshold. A closed form solution of the reliability function is obtained thanks to Markov renewal theory.

Then, we build an estimation methodology for the parameters of the stochastic processes involved. The estimation methods and the theoretical results, as well as the associated numerical algorithms, are validated on simulated data sets.

Our method is applied to the modelling of a real degradation mechanism, known as crack growth, for which an experimental data set is considered.
Document type :
Theses
Complete list of metadatas

Cited literature [122 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00165782
Contributor : Julien Chiquet <>
Submitted on : Friday, July 27, 2007 - 2:55:43 PM
Last modification on : Wednesday, September 5, 2018 - 3:15:58 PM
Long-term archiving on : Monday, September 24, 2012 - 11:25:49 AM

Identifiers

  • HAL Id : tel-00165782, version 1

Collections

Citation

Julien Chiquet. Modélisation et estimation des processus de dégradation avec application en fiabilité des structures. Mathématiques [math]. Université de Technologie de Compiègne, 2007. Français. ⟨tel-00165782⟩

Share

Metrics

Record views

841

Files downloads

2591