Tension locking in finite-element analyses of textile composite reinforcement deformation

Nahiène Hamila; Philippe Boisse

doi:10.1016/j.crme.2013.03.001

Tension locking in finite-element analyses of textile composite reinforcement deformation
[Verrouillage en tension lors de lʼanalyse par élément finis des déformations des renforts textiles de composites]

Nahiène Hamila ¹ ; Philippe Boisse ¹

¹ Laboratoire de mécanique des contacts et des structures (LaMCoS), INSA de Lyon, bâtiment J. Jacquard, 69621 Villeurbanne cedex, France

Comptes Rendus. Mécanique, Volume 341 (2013) no. 6, pp. 508-519.

Résumé
Abstract

Le comportement mécanique des renforts de composites textiles est caractérisé par une rigidité en tension dans les deux directions de fibres très grande devant celle de cisaillement dans le plan. Les déformations dans le plan de ces matériaux sont principalement obtenues par changement dʼangle entre les réseaux chaîne et trame. Lors dʼune analyse par éléments finis de ces déformations, un phénomène de verrouillage apparaît lorsque le maillage nʼest pas aligné avec les directions des fibres. Dans ce cas, le calcul conduit à des tensions erronées, qui perturbent lʼanalyse de façon majeure. Dans le présent article, ce phénomène est analysé dans le cas de lʼélément fini à quatre nœuds. En particulier, un exemple à deux éléments montre lʼimpossibilité dʼobtenir des solutions sans extensions des fibres pour des maillages quelconques. Une solution à ce problème de verrouillage est proposée pour le quadrangle à quatre nœuds. Elle utilise une intégration réduite et une stabilisation spécifique réduite aux termes de cisaillements plans non constants sur lʼélément.

The mechanical behaviour of textile composite reinforcements is characterised by a tensile stiffness in the two fibre directions, which is very large in comparison with the in-plane shear rigidity. The in-plane deformations of these materials are mainly due to the shear angle between warp and weft yarns. The finite-element analysis of these deformations leads to locking phenomena if the mesh is not aligned with the fibre directions. In this case the calculation gives spurious tensions in the fibres that make the analysis inaccurate. In the present paper, this phenomenon is highlighted and analysed in the case of the four-node finite element. In particular, a two-element example shows the impossibility of obtaining solutions without tensile strains for unaligned meshes. A solution to this tension locking is proposed for the four-node quadrilateral. It is based on a one-point quadrature and a specific stabilisation reduced to non-constant in-plane shear strains.

Reçu le : 2012-05-06
Accepté le : 2013-03-21
Publié le : 2013-04-11

DOI : 10.1016/j.crme.2013.03.001

Keywords: Composites, Textile reinforcement, Large shear strains, Finite element, Locking, Stabilisation
Mot clés : Composites, Renforts textiles, Grandes déformations de cisaillement, Éléments finis, Verrouillage, Stabilisation

Affiliations des auteurs :

Nahiène Hamila ¹ ; Philippe Boisse ¹

¹ Laboratoire de mécanique des contacts et des structures (LaMCoS), INSA de Lyon, bâtiment J. Jacquard, 69621 Villeurbanne cedex, France

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Nahiène Hamila; Philippe Boisse. Tension locking in finite-element analyses of textile composite reinforcement deformation. Comptes Rendus. Mécanique, Volume 341 (2013) no. 6, pp. 508-519. doi : 10.1016/j.crme.2013.03.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.03.001/

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