A projection‐based reduced‐order model for parametric quasi‐static nonlinear mechanics using an open‐source industrial code
Year: 2023
Type: article
Abstract: 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 codeaster. 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.
DOI: 10.1002/nme.7385
Institutions: Institut national de recherche en sciences et technologies du numérique, Centre Inria de l'université de Bordeaux, Électricité de France (France), Institut de Mathématiques de Bordeaux, MEMPHIS: Modèles et méthodes pour les problèmes multiphysiques et interactions, EDF Lab Paris-Saclay (France)
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4321152145