AGOUZAL, Eki; ARGAUD, Jean-Philippe; BERGMANN, Michel; FERTÉ, Guilhem; TADDEI, Tommaso

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AGOUZAL, Eki
ElectRotechnique et MEcanique des Structures [EDF R&D ERMES]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]

ARGAUD, Jean-Philippe
PERformance et prévention des Risques Industriels du parC par la simuLation et les EtudeS [EDF R&D PERICLES]

BERGMANN, Michel
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

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2022-12

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We 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.< Réduire

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

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