[Verrouillage en tension lors de lʼanalyse par élément finis des déformations des renforts textiles de composites]
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.
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Mot clés : Composites, Renforts textiles, Grandes déformations de cisaillement, Éléments finis, Verrouillage, Stabilisation
@article{CRMECA_2013__341_6_508_0,
author = {Nahi\`ene Hamila and Philippe Boisse},
title = {Tension locking in finite-element analyses of textile composite reinforcement deformation},
journal = {Comptes Rendus. M\'ecanique},
pages = {508--519},
publisher = {Elsevier},
volume = {341},
number = {6},
year = {2013},
doi = {10.1016/j.crme.2013.03.001},
language = {en},
}
TY - JOUR AU - Nahiène Hamila AU - Philippe Boisse TI - Tension locking in finite-element analyses of textile composite reinforcement deformation JO - Comptes Rendus. Mécanique PY - 2013 SP - 508 EP - 519 VL - 341 IS - 6 PB - Elsevier DO - 10.1016/j.crme.2013.03.001 LA - en ID - CRMECA_2013__341_6_508_0 ER -
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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