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Computational Mechanics
Erschienen in: Computational Mechanics 2/2023

21.10.2022 | Original Paper

A fully non-invasive hybrid IGA/FEM scheme for the analysis of localized non-linear phenomena

verfasst von: Evgeniia Lapina, Paul Oumaziz, Robin Bouclier, Jean-Charles Passieux

Erschienen in: Computational Mechanics | Ausgabe 2/2023

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Abstract

This work undertakes to combine the interests of IsoGeometric Analysis (IGA) and standard Finite Element Methods (FEM) for the global/local simulation of structures. The idea is to adopt a hybrid global-IGA/local-FEM modeling, thereby benefiting from: (i) the superior geometric description and per-Degree-Of-Freedom accuracy of IGA for capturing global, regular responses, and (ii) the ability of FEM to compute local, strongly non-linear or even singular behaviors. For the sake of minimizing the implementation effort, we develop a coupling scheme that is fully non-invasive in the sense that the initial global spline model to be enriched is never modified and the construction of the coupling operators can be performed using conventional FE packages. The key ingredient is to express the FEM-to-IGA bridge, based on Bézier extraction, to transform the initial global spline interface into a FE one on which the local FE mesh can be constructed. This allows to resort to classic FE trace operators to implement the coupling. It results in a strategy that offers the opportunity to simply couple an isogeometric code with any robust FE code suitable for the modelling of complex local behaviors. The method also easily extends in case the users only have at their disposal FE codes. This is the situation that is considered for the numerical illustrations. More precisely, we only make use of the FE industrial software Code_Aster to perform efficiently and accurately the hybrid global-IGA/local-FEM simulation of structures subjected locally to cracks, contact, friction and delamination.
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Metadaten
Titel
A fully non-invasive hybrid IGA/FEM scheme for the analysis of localized non-linear phenomena
verfasst von
Evgeniia Lapina
Paul Oumaziz
Robin Bouclier
Jean-Charles Passieux
Publikationsdatum
21.10.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 2/2023
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-022-02234-2

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