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Contribution à l’automatisation des analyses par éléments-finis multidimensionnelles

Published online by Cambridge University Press:  06 January 2012

Jean-Christophe Cuillière ,
Sylvain Bournival  and
Vincent François
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Abstract

La réduction du nombre de degrés de liberté d’une étude par éléments-finis peut être obtenue en utilisant l’analyse par éléments-finis multidimensionnelle, c’est-à-dire le mélange d’éléments-finis de poutre, de coque et de volume. Cette approche multidimensionnelle permet de réduire considérablement le temps de maillage et de résolution du système. Malheureusement, la connexion d’éléments de différentes dimensions entraîne certains problèmes au niveau de la modélisation géométrique ainsi qu’au niveau de l’incompatibilité des degrés de liberté entre éléments et de la continuité entre différentes parties de maillage réalisées séparément. Cet article présente une solution complètement automatisée à ces problèmes, utilisant uniquement des éléments-finis classiques et sans recourir à l’ajout d’équations de contraintes aux interfaces entre éléments de dimensions différentes.

Keywords

Multi-dimensional analysisfinite elementsmesh generationshell elementsbeam elementsAnalyse multidimensionnelleéléments-finismaillageéléments de coqueéléments de poutre
Type
Research Article
Information
Mechanics & Industry , Volume 12 , Issue 6 , 2011 , pp. 513 - 531
Copyright
© AFM, EDP Sciences 2011

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