Reference : A tutorial on Bayesian inference to identify material parameters in solid mechanics
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/230043
A tutorial on Bayesian inference to identify material parameters in solid mechanics
English
Rappel, Hussein [Université de Liège - ULiège > A&M > CM3 > >]
Beex, Lars A A [University of Luxemburg > > > >]
Hale, Jake S [University of Luxemburg > > > >]
Noels, Ludovic mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]
Bordas, Stéphane P A [> >]
In press
Archives of Computational Methods in Engineering
International Center for Numerical Methods in Engineering
Yes
International
1134-3060
Spain
[en] Bayesian inference ; Bayes' theorem ; Stochastic identification ; statistical identification ; parameter identification ; Elastoplasticity ; Plasticity
[en] The aim of this contribution is to explain in a straightforward manner how Bayesian inference can be used to identify material parameters of material models for solids. Bayesian approaches have already been used for this purpose, but most of the literature is not necessarily easy to understand for those new to the field. The reason for this is that most literature focuses either on complex statistical and machine learning concepts and/or on relatively complex mechanical models. In order to introduce the approach as gently as possible, we only focus on stress-strain measurements coming from uniaxial tensile tests and we only treat elastic and elastoplastic material models. Furthermore, the stress-strain measurements are created artificially in order to allow a one-to-one comparison between the true parameter values and the identified parameter distributions.
Aérospatiale et Mécanique - A&M
Union Européenne = European Union - UE = EU ; National Research Fund, Luxembourg,
Hussein Rappel, Lars A.A. Beex and St ephane P.A. Bordas would like to acknowledge the nancial support from the University of Luxembourg. St ephane P.A. Bordas also thanks 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". Jack S. Hale is supported by the National Research Fund, Luxembourg, and cofunded under the Marie Curie Actions of the European Commission (FP7-COFUND Grant No. 6693582).
Researchers ; Professionals
http://hdl.handle.net/2268/230043
10.1007/s11831-018-09311-x
This is a pre-print of an article published in Archives of Computational Methods in Engineering. The final authenticated version is available online at: https://doi.org/[insert DOI]”.
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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