A coupling method for stochastic continuum models at diff erent scales

Yves Le Guennec 1 Régis Cottereau 1, * Didier Clouteau 1 Christian Soize 2
* Corresponding author
1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux
2 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
Abstract : In this paper, we present a novel approach that allows to couple two stochastic continuum models describing the same random medium at different observation scales. The coupling strategy is performed in the Arlequin framework, which is based on a volume coupling and a partition of the energy. Suitable functional space and coupling operator are chosen for the weak enforcement of the continuity between the two models. This choice ensures that the resulting mixed problem is well posed. The Monte-Carlo based numerical strategy for the solution of the mixed problem is briefly outlined. An application is presented, emphasizing on the interest of the chosen coupling operator. Finally, some remarks are provided concerning a stochastic multi-model coupling.
Keywords : Uncertainties Multiscale modeling Coupling numerical method Uncertainty quantification Arlequin method Stochastic mechanics
Document type :
Journal articles
Complete list of metadatas

Cited literature [68 references]  Display  Hide  Download
https://hal-upec-upem.archives-ouvertes.fr/hal-00940047
Contributor : Christian Soize <>
Submitted on : Friday, January 31, 2014 - 11:42:55 AM
Last modification on : Sunday, October 6, 2019 - 12:02:27 AM
Long-term archiving on : Sunday, April 9, 2017 - 4:14:17 AM

File

publi-2014-PEM-leguennec-cotte...
Files produced by the author(s)

Identifiers

Collections

MSME_MECA | UPEC-UPEM | UPEC | CV_MSME | MSME | UNIV-MLV | CNRS | INSMI | MSSMAT

Citation

Yves Le Guennec, Régis Cottereau, Didier Clouteau, Christian Soize. A coupling method for stochastic continuum models at diff erent scales. Probabilistic Engineering Mechanics, Elsevier, 2014, 37 (-), pp.138-147. ⟨10.1016/j.probengmech.2013.10.005⟩. ⟨hal-00940047⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

823

Files downloads

303

Contact

CCSD