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- Title
A projection‐based reduced‐order model for parametric quasi‐static nonlinear mechanics using an open‐source industrial code.
- Authors
Agouzal, Eki; Argaud, Jean‐Philippe; Bergmann, Michel; Ferté, Guilhem; Taddei, Tommaso
- 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 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.
- Subjects
NONLINEAR mechanics; REDUCED-order models; PARAMETRIC modeling; NONLINEAR equations; PARTIAL differential equations
- Publication
International Journal for Numerical Methods in Engineering, 2024, Vol 125, Issue 4, p1
- ISSN
0029-5981
- Publication type
Article
- DOI
10.1002/nme.7385