Bending analysis of laminated and sandwich plates using a layer-wise stress model

Thái, Nguyễn Đình; D′Ottavio, Michele; Caron, Jean

doi:10.1016/j.compstruct.2012.08.032

Cited by 15 publications

(7 citation statements)

References 32 publications

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“…This work showed that the SCLS1 model is as accurate as the LS1 model and is even closer to refined 3D solutions near free edges since it can correctly satisfy stressfree boundary conditions. Besides, an intensive comparison between the LS1 model and other layerwise models derived of the Carrera Unified Formulation (CUF) family has been performed in [45]. The main conclusion of this work was that the LS1 model exhibits a similar accuracy to LM4 (mixed fourth-order) and LD3 (displacement third-order) layerwise models.…”

Section: Comparison With Other Layerwise Modelsmentioning

confidence: 94%

Mesh-adapted stress analysis of multilayered plates using a layerwise model

Salha

Bleyer

Sab

et al. 2020

Adv. Model. and Simul. in Eng. Sci.

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This paper proposes a new finite-element modelling of a recent layerwise model for multilayered plates. This layerwise model is built from a specific 3D stress-field expansion along the thickness direction and involves, in particular, interlaminar transverse shear and out-of-plane stresses as generalized stresses. Its main feature is that 3D equilibrium equations and free-edge boundary conditions are directly taken into account into the stress-based construction of the model. A dual displacement-based finite-element discretization is implemented using the FEniCS software package and a remeshing strategy is proposed based on a novel error indicator. The error indicator is built based on the 3D stress field directly deduced from the layerwise generalized stresses and compared to a reconstructed stress field based on the model generalized displacements. The proposed error indicator is shown to identify the most critical parts of a laminate structure associated with complex 3D stress fields such as boundaries or stress concentration/singularity regions (near free-edges or delamination fronts). Through the combination of thickness discretization and in-plane mesh refinement in regions of interest, the proposed framework therefore offers an attractive alternative to 3D solid finite elements for an accurate prediction of stress states in composite laminates.

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Section: Comparison With Other Layerwise Modelsmentioning

confidence: 94%

Mesh-adapted stress analysis of multilayered plates using a layerwise model

Salha

Bleyer

Sab

et al. 2020

Adv. Model. and Simul. in Eng. Sci.

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“…1D theories (Blass and Fellmoser 2004a;EN 2004;Kreuzinger 1999) have very low computational costs but give approximate results. 2D plate theories for laminates in bending (Lebée and Sab 2011;Thai et al 2013) are still reduced approaches, but return more precise results than beam theories. Nevertheless, the specimens of the reference test were submitted to concentrated loads, which produce complex stress states close to loading area, difficult to predict with reduced approaches.…”

Section: Pagano's Exact Solution For Laminates In Bendingmentioning

confidence: 99%

Influence of orientation and number of layers on the elastic response and failure modes on CLT floors: modeling and parameter studies

et al. 2016

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International audienceIn the present paper, the bending behavior of Cross Laminated Timber panels is investigated by means of the linear elastic exact solution from Pagano (1970; 1969). The resulting stresses are the input for a wood failure criterion , which can point out the first-crack load and the respective dominant failure mode. Heterogeneous layers are mod-eled as equivalent and homogeneous layers. This simplified and deterministic modeling gives results in good agreement with a reference experimental test. A comparison is made with respect to the panel's global stiffness and failure stages within the apparent elastic stage. Finally, parameter studies are carried out, in order to quantify CLT limitations and advantages. The effect of varying properties like the panel's slenderness, orientation of transverse layers and number of layers for a fixed total thickness are investigated

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“…This formulation seems to have good properties in the framework of Finite Element method, but the number of unknowns can be high as displacements, transverse stresses and in-plane deformations have to be computed. It should be also noted that the mixed approach of Pagano [39] has been employed by Thai et al [40] for formulating LW finite plate elements.…”

Section: Introductionmentioning

confidence: 99%

Modeling of composite plates based on Reissner's Mixed Variational Theorem with variables separation

Vidal¹,

Gallimard²,

Polit³

2016

Composites Part B: Engineering

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a b s t r a c tIn this work, the modeling of laminated composite plates is performed through a variables separation approach based on a Reissner's Variational Mixed Theorem (RMVT). Both the displacement and transverse stress fields are approximated as a sum of separated functions of the in-plane coordinates x,y and the transverse coordinate z. This choice yields to a non-linear problem that can be solved by an iterative process. That consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical Finite Element method is used.Numerical examples involving several representative laminates are addressed to show the accuracy of the present LayerWise (LW) method. It is shown that it can provide quasi-3D results less costly than classical LW computations. In particular, the estimation of the transverse stresses which are of major importance for damage analysis is very good.

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Bending analysis of laminated and sandwich plates using a layer-wise stress model

Cited by 15 publications

References 32 publications

Mesh-adapted stress analysis of multilayered plates using a layerwise model

Mesh-adapted stress analysis of multilayered plates using a layerwise model

Influence of orientation and number of layers on the elastic response and failure modes on CLT floors: modeling and parameter studies

Modeling of composite plates based on Reissner's Mixed Variational Theorem with variables separation

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