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Projection-based model order reduction for prestressed concrete with an application to the standard section of a nuclear containment building

hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierElectRotechnique et MEcanique des Structures [EDF R&D ERMES]
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.identifierElectRotechnique et MEcanique des Structures [EDF R&D ERMES]
dc.contributor.authorMICHEL-PONNELLE, Sylvie
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTADDEI, Tommaso
dc.date.accessioned2024-04-04T02:31:20Z
dc.date.available2024-04-04T02:31:20Z
dc.date.issued2024
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190299
dc.description.abstractEnWe propose a projection-based model order reduction procedure for the ageing of large prestressed concrete structures. Our work is motivated by applications in the nuclear industry, particularly in the simulation of containment buildings. Such numerical simulations involve a multi-modeling approach: a three-dimensional nonlinear thermo-hydro-visco-elastic rheological model is used for concrete; and prestressing cables are described by a one-dimensional linear thermo-elastic behavior. A kinematic linkage is performed in order to connect the concrete nodes and the steel nodes: coincident points in each material are assumed to have the same displacement. We develop an adaptive algorithm based on a Proper Orthogonal Decomposition (POD) in time and greedy in parameter to build a reduced order model (ROM). The nonlinearity of the operator entails that the computational cost of the ROM assembly scales with the size of the high-fidelity model. We develop an hyper-reduction strategy based on empirical quadrature to bypass this computational bottleneck: our approach relies on the construction of a reduced mesh to speed up online assembly costs of the ROM. We provide numerical results for a standard section of a double-walled containment building using a qualified and broadly-used industrial grade finite element solver for structural mechanics (code$\_$aster).
dc.language.isoen
dc.subject.enNumerical Analysis (math.NA)
dc.subject.enFOS: Mathematics
dc.title.enProjection-based model order reduction for prestressed concrete with an application to the standard section of a nuclear containment building
dc.typeDocument de travail - Pré-publication
dc.identifier.doi10.48550/arXiv.2401.05098
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Mécanique [physics]/Matériaux et structures en mécanique [physics.class-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04390977
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04390977v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2024&rft.au=AGOUZAL,%20Eki&ARGAUD,%20Jean-Philippe&BERGMANN,%20Michel&FERT%C3%89,%20Guilhem&MICHEL-PONNELLE,%20Sylvie&rft.genre=preprint


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