Skip to Main content Skip to Navigation
Theses

Modèle d’ordre réduit en mécanique du contact. Application à la simulation du comportement des combustibles nucléaires

Abstract : The model order reduction of mechanical problems involving contact remains an important issue in computational solid mechanics.An extension of the hyper-reduction method based on a reduced integration domain to frictionless contact problems written by a mixed formulation is proposed.As the potential contact zone is naturally reduced through the reduced domain, the dual reduced basis is chosen as the restriction of the dual full-order model basis.A hybrid hyper-reduced model combining empirical modes for primal variables with finite element approximation for dual variables is then obtained.If necessary, the inf-sup condition of this hybrid saddle point problem can be enforced by extending the hybrid approximation to the primal variables. This leads to a hybrid hyper-reduced/full-order model strategy. By this way, a better approximation on the potential contact zone is furthermore obtained.A post-treatment dedicated to the reconstruction of the contact forces on the whole domain is introduced.In order to optimize the snapshots selection, an efficient error indicator is coupled to a greedy sampling algorithm leading to a robust reduced-order model.
Complete list of metadatas

Cited literature [246 references]  Display  Hide  Download

https://pastel.archives-ouvertes.fr/tel-02386690
Contributor : Abes Star :  Contact
Submitted on : Friday, November 29, 2019 - 2:13:09 PM
Last modification on : Monday, April 6, 2020 - 6:26:36 PM

File

2018PSLEM073_archivage.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-02386690, version 1

Citation

Jules Fauque de Maistre. Modèle d’ordre réduit en mécanique du contact. Application à la simulation du comportement des combustibles nucléaires. Mécanique [physics.med-ph]. PSL Research University, 2018. Français. ⟨NNT : 2018PSLEM073⟩. ⟨tel-02386690⟩

Share

Metrics

Record views

63

Files downloads

59