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A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code

hal.structure.identifierElectRotechnique et MEcanique des Structures [EDF R&D ERMES]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAGOUZAL, Eki
hal.structure.identifierPERformance et prévention des Risques Industriels du parC par la simuLation et les EtudeS [EDF R&D PERICLES]
dc.contributor.authorARGAUD, Jean-Philippe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorBERGMANN, Michel
hal.structure.identifierElectRotechnique et MEcanique des Structures [EDF R&D ERMES]
dc.contributor.authorFERTÉ, Guilhem
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTADDEI, Tommaso
dc.date.accessioned2024-04-04T02:36:26Z
dc.date.available2024-04-04T02:36:26Z
dc.date.issued2022-12
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190718
dc.description.abstractEnWe propose a projection-based model order reduction procedure for a general class of parametric quasi-static problems in nonlinear mechanics with internal variables. The methodology is integrated in the industrial finite element code code aster. Model order reduction aims to lower the computational cost of engineering studies that involve the simulation to a costly high-fidelity differential model for many different parameters, which correspond, for example to material properties or initial and boundary conditions. We develop an adaptive algorithm based on a POD-Greedy strategy, and we develop an hyper-reduction strategy based on an element-wise empirical quadrature in order to speed up the assembly costs of the reduced-order model by building an appropriate reduced mesh. We introduce a cost-efficient error indicator which relies on the reconstruction of the stress field by a Gappy-POD strategy. We present numerical results for a three-dimensional elastoplastic system in order to illustrate and validate the methodology.
dc.language.isoen
dc.title.enA projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]
dc.identifier.arxiv2212.14825
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03933047
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03933047v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2022-12&rft.au=AGOUZAL,%20Eki&ARGAUD,%20Jean-Philippe&BERGMANN,%20Michel&FERT%C3%89,%20Guilhem&TADDEI,%20Tommaso&rft.genre=preprint


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