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| HAL : hal-00696504, version 4 |
| arXiv : 1208.3940 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (16-05-2012) | v2 (28-06-2012) | v3 (20-08-2012) | v4 (10-11-2012) |
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| A partitioned model order reduction approach to rationalise computational expenses in multiscale fracture mechanics |
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| Pierre Kerfriden 1Olivier Goury 1 |
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| (01/05/2012) |
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| We propose in this paper an adaptive reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition and projection-based model order reduction permits to focus the numerical effort where it is most needed: around the zones where damage propagates. No \textit{a priori} knowledge of the damage pattern is required, the extraction of the corresponding spatial regions being based solely on algebra. The efficiency of the proposed approach is demonstrated numerically with an example relevant to engineering fracture. |
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| 1 : | Cardiff University School of Engineering |
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Cardiff University |
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| 2 : | Institute of Structural Mechanics, Bauhaus-University Weimar |
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Bauhaus-Universität Weimar |
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| Domaine | : | Physique/Mécanique/Mécanique des structures Sciences de l'ingénieur/Mécanique/Mécanique des structures |
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| model order reduction – proper orthogonal decomposition (POD) – domain decomposition – nonlinear fracture mechanics – system approximation – parametric time-dependent problems |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00696504, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00696504 | |
| oai:hal.archives-ouvertes.fr:hal-00696504 | |
| Contributeur : Pierre Kerfriden | |
| Soumis le : Vendredi 9 Novembre 2012, 14:17:04 | |
| Dernière modification le : Samedi 10 Novembre 2012, 08:30:22 | |
