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A Hybridized Mixed Approach for Efficient Stress Prediction in a Layerwise Plate Model

Abstract : Building upon recent works devoted to the development of a stress-based layerwise model for multilayered plates, we explore an alternative finite-element discretization to the conventional displacement-based finite-element method. We rely on a mixed finite-element approach where both stresses and displacements are interpolated. Since conforming stress-based finite-elements ensuring traction continuity are difficult to construct, we consider a hybridization strategy in which traction continuity is relaxed by the introduction of an additional displacement-like Lagrange multiplier defined on the element facets. Such a strategy offers the advantage of uncoupling many degrees of freedom so that static condensation can be performed at the element level, yielding a much smaller final system to solve. Illustrative applications demonstrate that the proposed mixed approach is free from any shear-locking in the thin plate limit and is more accurate than a displacement approach for the same number of degrees of freedom. As a result, this method can be used to capture efficiently strong intra- and inter-laminar stress variations near free-edges or cracks.
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https://hal-enpc.archives-ouvertes.fr/hal-03676500
Contributeur : Jérémy Bleyer Connectez-vous pour contacter le contributeur
Soumis le : mardi 24 mai 2022 - 09:11:08
Dernière modification le : mercredi 1 juin 2022 - 03:39:03
Archivage à long terme le : : jeudi 25 août 2022 - 18:07:15

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Lucille Salha, Jeremy Bleyer, Karam Sab, Joanna Bodgi. A Hybridized Mixed Approach for Efficient Stress Prediction in a Layerwise Plate Model. Mathematics , 2022, 10 (10), pp.1711. ⟨10.3390/math10101711⟩. ⟨hal-03676500⟩

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