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

Lucille Salha, Jeremy Bleyer, Karam Sab and Joanna Bodgi
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Lucille Salha: Laboratoire Navier, Ecole des Ponts ParisTech, University Gustave Eiffel, CNRS, 6-8 Av. Blaise Pascal, Cité Descartes, 77455 Champs-sur-Marne, France
Jeremy Bleyer: Laboratoire Navier, Ecole des Ponts ParisTech, University Gustave Eiffel, CNRS, 6-8 Av. Blaise Pascal, Cité Descartes, 77455 Champs-sur-Marne, France
Karam Sab: Laboratoire Navier, Ecole des Ponts ParisTech, University Gustave Eiffel, CNRS, 6-8 Av. Blaise Pascal, Cité Descartes, 77455 Champs-sur-Marne, France
Joanna Bodgi: Faculté des Sciences, Université Saint Joseph, Mar Roukos-Dekwaneh, Beyrouth 1104 2020, Lebanon

Mathematics, 2022, vol. 10, issue 10, 1-21

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.

Keywords: laminates; layerwise plate model; mixed finite element; hybridization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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