A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

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

Résumé

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.

Dates et versions

hal-03933047 , version 1 (10-01-2023)

Identifiants

Citer

Eki Agouzal, Jean-Philippe Argaud, Michel Bergmann, Guilhem Ferté, Tommaso Taddei. A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code. 2023. ⟨hal-03933047⟩
19 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More