On the layerwise finite element formulation for static and free vibration analysis of functionally graded sandwich plates

Hirane, Hicham; Belarbi, Mohamed‐Ouejdi; Houari, Mohammed Sid Ahmed; Tounsi, Abdelouahed

doi:10.1007/s00366-020-01250-1

Cited by 79 publications

(21 citation statements)

References 72 publications

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“…Arévalo et al [27] presented the structural performance of steel angle shear connectors with different orientations. Hirane et al [28] introduced a new C 0 higher-order layerwise finite element model for static and free vibration analysis of FGM sandwich plates. e suggested layerwise model for multilayer composite plates assumed a higher-order displacement field for the core and a first-order displacement field for the face sheets while ensuring displacement continuity in the layer.…”

Section: Introductionmentioning

confidence: 99%

Bending of Symmetric Sandwich FGM Beams with Shear Connectors

Dung

Minh

Hoang

et al. 2021

Mathematical Problems in Engineering

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This paper carries out the static bending analysis of symmetric three-layer functionally graded sandwich beams, in which each layer is made from different functionally graded materials, and they are connected by shear connectors due to sliding movement. The finite element formulations are based on Timoshenko’s first-order shear deformation beam theory (FSDT) and the finite element method to establish the equilibrium equation of beams. The calculation program is coded in the MATLAB environment, and then verification examples are given out to compare the numerical data of present work with those of exact open sources. The impact of several geometrical and material parameters on the mechanical response of the structure, such as the height-to-length ratio, boundary conditions, volume fraction index, and especially the shear coefficient of connectors, is being explored. When designing and using these types of structures in engineering practice, the computed results can be utilized as a valid reference.

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Section: Introductionmentioning

confidence: 99%

Bending of Symmetric Sandwich FGM Beams with Shear Connectors

Dung

Minh

Hoang

et al. 2021

Mathematical Problems in Engineering

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“…Therefore, the numerical methods have been chosen to analyze the complex behavior of functionally graded structures. [38][39][40][41][42][43][44] Among them, the finite element method (FEM) is the most popular one. The FEM has several advantages in terms of ease in implementation of complex loading, arbitrary grading properties, varying boundary conditions and ease of solutions process.…”

Section: Introductionmentioning

confidence: 99%

Finite element bending analysis of symmetric and non-symmetric functionally graded sandwich beams using a novel parabolic shear deformation theory

Belarbi

Khechai

Bessaim

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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In this paper, the bending behavior of functionally graded single-layered, symmetric and non-symmetric sandwich beams is investigated according to a new higher order shear deformation theory. Based on this theory, a novel parabolic shear deformation function is developed and applied to investigate the bending response of sandwich beams with homogeneous hardcore and softcore. The present theory provides an accurate parabolic distribution of transverse shear stress across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the functionally graded sandwich beam without using any shear correction factors. The governing equations derived herein are solved by employing the finite element method using a two-node beam element, developed for this purpose. The material properties of functionally graded sandwich beams are graded through the thickness according to the power-law distribution. The predictive capability of the proposed finite element model is demonstrated through illustrative examples. Four types of beam support, i.e. simply-simply, clamped-free, clamped–clamped, and clamped-simply, are used to study how the beam deflection and both axial and transverse shear stresses are affected by the variation of volume fraction index and beam length-to-height ratio. Results of the numerical analysis have been reported and compared with those available in the open literature to evaluate the accuracy and robustness of the proposed finite element model. The comparisons with other higher order shear deformation theories verify that the proposed beam element is accurate, presents fast rate of convergence to the reference results and it is also valid for both thin and thick functionally graded sandwich beams. Further, some new results are reported in the current study, which will serve as a benchmark for future research.

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“…is program can perform small displacement and deformation analysis of the wire rope under a variety of loads including tension, torsion, and bending. Hirane et al [10] discussed the stratified finite element formula for the static and free vibration analysis of functionally graded interlayers by using the C0 high-order stratified finite element model. e numerical results of the model are compared with the analytical solutions in the literature and the prediction results of other advanced finite element models.…”

Section: Introductionmentioning

confidence: 99%

Research on the Elastic Properties of Discontinuous Contact Wire Rope for WR‐CVT

Zhang

Sun

et al. 2021

Advances in Materials Science and Engineering

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This study mainly conducts the research on the discontinuous contact elastic properties of wire rope based on WR-CVT. The geometry model and finite element model of continuous contact and discontinuous contact of 2/3 lay pitch wire rope are established. And the contact stress distribution of the steel wire is analyzed through 5 sections and 5 contact points. The results show that on the C-C plane, the contact stress of the discontinuous contact model is 229.4 MPa higher than that of the continuous contact, but this difference is not obvious on the D-D plane. The contact stress nephogram is elliptical, but in the noncontact area, the shape of the contact trace shows a distinct noncomplete ellipse, and the contact trace is distributed along the spiral trajectory of the steel wire. Point 4 due to the reduction in contact area, compared with continuous contact, discontinuous contact shows a higher stress value. The geometric dimensions of the wear scars of continuous contact and discontinuous contact indicate that regardless of the length of the wear scar or the width of the wear scar, the geometric characteristics of steel wire wear mark in discontinuous contact are larger than that in continuous contact, so the discontinuous contact aggravates the surface wear of wire. This research lays a theoretical foundation for the discontinuous contact wear and fatigue of WR-CVT wire rope and other components.

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On the layerwise finite element formulation for static and free vibration analysis of functionally graded sandwich plates

Cited by 79 publications

References 72 publications

Bending of Symmetric Sandwich FGM Beams with Shear Connectors

Bending of Symmetric Sandwich FGM Beams with Shear Connectors

Finite element bending analysis of symmetric and non-symmetric functionally graded sandwich beams using a novel parabolic shear deformation theory

Research on the Elastic Properties of Discontinuous Contact Wire Rope for WR‐CVT

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