Analysis of Sandwich Composite Beams with a New Transverse Shear Stress Continuity Model

Mistou, Sébastien; Karama, Moussa; Lorrain, Bernard; Faye, Jean-Pierre

doi:10.1177/109963629900100201

Cited by 10 publications

(13 citation statements)

References 9 publications

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“…The analytic model results are higher [9]. It is noticed however, that, unlike here, in paper [9] the FEM model results are higher than the analytic model results.…”

Section: Influence Of End Boundary Conditions Of the Core On The C-c contrasting

confidence: 81%

“…As far as the present authors know, and it is stressed here, both conditions (8) and (9) at the ends of the sandwich strip are quite new within the analytical models. The above conditions are very close to the boundary conditions met in the real structures.…”

Section: Methods and Tools Of The Analysismentioning

confidence: 94%

“…It is noticed here, that the FEM models are capable to include any kind of boundary conditions and loadings, however these models still require validation by other (analytic) models and experiments. For instance, one may find in [9] that deflections of a sandwich beam predicted by an analytic higher-order, discrete-layer model are approximately 10% lower than corresponding deflections obtained by their FEM ABAQUS model.…”

Section: Introductionmentioning

confidence: 93%

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Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

Karczmarzyk

Meyer-Piening

Caviezel

2003

Jnl of Sandwich Structures & Materials

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Influence of different edge boundary conditions for the core and for the faces on deflections of the asymmetric sandwich strip and beam, with ends enabling carrying the bending moment are investigated in the paper. Two kinds of asymmetry of the clamped-clamped (C-C) sandwich structure are taken into account namely, asymmetry of faces and asymmetry of fastening of the faces to edge inserts. Numerical results which are presented to demonstrate the influence of the core conditions have been obtained according to a new analytical 2D model and by FEM. In order to make the analysis more valuable some experimental results have been compared. Influence of different edge conditions for the core, edge in-plane displacements of faces as well as asymmetry of faces and their fastening to inserts on the strip and beam deflection is examined. The usefulness of the new 2D model for validation of the FEM models is shown. All considerations and results refer to the sandwich structures composed of isotropic layers.

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“…The analytic model results are higher [9]. It is noticed however, that, unlike here, in paper [9] the FEM model results are higher than the analytic model results.…”

Section: Influence Of End Boundary Conditions Of the Core On The C-c contrasting

confidence: 81%

Section: Methods and Tools Of The Analysismentioning

confidence: 94%

Section: Introductionmentioning

confidence: 93%

See 1 more Smart Citation

Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

Karczmarzyk

Meyer-Piening

Caviezel

2003

Jnl of Sandwich Structures & Materials

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“…Mistou et al. [11] employed the discrete layer theory and developed a composite beam model which automatically satisfies the continuity of transverse shear stresses. Vel and Batra [12] presented an analytical solution for laminated composite plate with cross-ply layer stacking which is subjected to doubly sinusoidal transverse loading.…”

Section: Introductionmentioning

confidence: 99%

Stress analysis in transverse loading of soft core sandwich plates with various boundary conditions

Ahmadi

2018

Jnl of Sandwich Structures & Materials

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In this paper, the transverse loading of sandwich plate is formulated to study the three-dimensional stress field in the sandwich plates for various edge conditions. The formulation is based on the weak formulation approach. A complete three-dimensional displacement field is considered and the weak formulation approach is employed to obtain the governing equations of the plate using the three dimensional equilibrium equations of elasticity. An analytical solution is presented for governing equations when two opposite edges of plate are simply supported. A one-step stress recovery scheme is used to compute the out-of-plane stresses in the sandwich plates. A comparison is made with the predictions of exact elasticity solutions in the open literature and very good agreements are achieved. The distribution of stresses is investigated for various boundary conditions and the log-linear procedure is employed to study the order of stress singularity at free and clamped edge of the plate. It is seen that the present approach accurately predicts the distribution of out-of-plane stresses and local concentration of stresses in the vicinity of free and clamped edges of sandwich structures.

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“…Aydogdu [8] and Karama et al [9] presented a novel refined theory considering the exponential functions as higher-order terms in the displacement components to model the static and dynamic behaviour of multi-layered laminated composite beams. Other theories within the framework of the trigonometric shear deformation theories, which introduced a shear strain function in the displacement field through the thickness direction, can be found in [10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Exact solutions for static analysis of laminated, box and sandwich beams by refined layer-wise theory

Pagani¹,

Yan

Carrera³

2017

Composites Part B: Engineering

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In the present work, a close-form solution based on a unified one-dimensional model is proposed and then applied to static response analyses of cross-ply laminated and sandwich beams subjected to simply supported boundary conditions. The hierarchical beam model is derived within the framework of the Carrera Unified Formulation (CUF), which makes use of Lagrange polynomials to express the three-dimensional (3D) displacement field via arbitrary order approximation of pure displacement variables at each layer over the cross section, in a Layer-Wise (LW) sense. The governing equations are derived via the principle of virtual work and a Naviertype close-form solution is employed to solve the resulting boundary value problem. Four benchmark numerical examples are carried out to demonstrate the efficiency of this novel method, including compact multi-layered cross-ply laminated beams, a thin-walled composite box beam and a composite sandwich-box beam. The results show that accurate displacement and stress components can be obtained as the order of the expansion increases, accompanied by a significant reduction in computational costs in comparison with the 3D finite element solutions. Besides, numerical cases in this research may be taken as benchmarks for future assessments in this field.

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Analysis of Sandwich Composite Beams with a New Transverse Shear Stress Continuity Model

Cited by 10 publications

References 9 publications

Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

Stress analysis in transverse loading of soft core sandwich plates with various boundary conditions

Exact solutions for static analysis of laminated, box and sandwich beams by refined layer-wise theory

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