Reference : Identifying elastoplastic parameters with Bayes’ theorem considering output error, in...
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/227535
Identifying elastoplastic parameters with Bayes’ theorem considering output error, input error and model uncertainty
English
Rappel, Hussein mailto [Université de Liège - ULiège > > > Form. doct. sc. ingé. & techno. (aéro. & mécan. - Paysage)]
Beex, Lars A A [Université du Luxembourg - UniLu > > > >]
Noels, Ludovic mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Bordas, Stéphane [Université du Luxembourg - UniLu > > > >]
Jan-2019
1878-4275
Probabilistic Engineering Mechanics
Elsevier
55
28-41
Yes (verified by ORBi)
International
0266-8920
Netherlands
[en] Bayesian inferencey ; Bayes' theoremt ; Stochastic identification ; Parameter identification ; Elastoplasticity ; Plasticity ; Model uncertainty
[en] We discuss Bayesian inference for the identification 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.
Aérospatiale et Mécanique - A&M
Union Européenne = European Union - UE = EU
The authors would like to acknowledge the financial support from the University of Luxembourg and the European Research Council Starting Independent Research Grant (ERC Stg grant agreement No. 279578) entitled \Towards real time multiscale simulation of cutting in nonlinear materials with applications to surgical simulation and computer guided surgery.
Researchers ; Professionals
http://hdl.handle.net/2268/227535
10.1016/j.probengmech.2018.08.004
https://doi.org/10.1016/j.probengmech.2018.08.004
NOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Probabilistic Engineering Mechanics # (201#) #–#, DOI: 10.1016/j.probengmech.2018.08.004
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

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