Article (Scientific journals)
Identifying elastoplastic parameters with Bayes' theorem considering double error sources and model uncertainty
Rappel, Hussein; Beex, Lars; Noels, Ludovic et al.
2019In Probabilistic Engineering Mechanics, 55, p. 28-41
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Keywords :
Bayesian inference; Bayes' theorem; stochastic identification; parameter identification; elastoplasticity; plasticity; model uncertainty
Abstract :
[en] We discuss Bayesian inference for the identi cation of elastoplastic material parameters. In addition to errors in the stress measurements, which are commonly considered, we furthermore consider errors in the strain measurements. Since a difference between the model and the experimental data may still be present if the data is not contaminated by noise, we also incorporate the possible error of the model itself. The three formulations to describe model uncertainty in this contribution are: (1) a random variable which is taken from a normal distribution with constant parameters, (2) a random variable which is taken from a normal distribution with an input-dependent mean, and (3) a Gaussian random process with a stationary covariance function. Our results show that incorporating model uncertainty often, but not always, improves the results. If the error in the strain is considered as well, the results improve even more.
Research center :
University of Luxembourg: Institute of Computational Engineering
Disciplines :
Civil engineering
Computer science
Aerospace & aeronautics engineering
Engineering, computing & technology: Multidisciplinary, general & others
Mechanical engineering
Materials science & engineering
Author, co-author :
Rappel, Hussein ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Beex, Lars ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Noels, Ludovic;  University of Liege > Aerospace and Mechanical Engineering Department > Associate Professor
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
Identifying elastoplastic parameters with Bayes' theorem considering double error sources and model uncertainty
Publication date :
January 2019
Journal title :
Probabilistic Engineering Mechanics
ISSN :
1878-4275
Publisher :
Elsevier, Amsterdam, Netherlands
Volume :
55
Pages :
28-41
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 18 September 2018

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