Free vibration and buckling analysis of cross-ply laminated composite plates using Carrera's unified formulation based on Isogeometric approach

Alesadi, Amirhadi; Galehdari, Marzieh; Shojaee, Saeed

doi:10.1016/j.compstruc.2017.01.013

Cited by 39 publications

(9 citation statements)

References 75 publications

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“…It was found that the unique formulation of a polynomial form could theoretically cover all existing HSDTs models and was sufficient to describe the nonlinear and parabolic variation of transverse shear stress [32]. Alesadi et al [33] employed the Isogeometric approach (IGA) and Carrera’s Unified Formulation (CUF) for free vibration and linearized buckling analysis of laminated composite plates. The CUF presents an effective formulation to employ any order of Taylor expansion for the analyses of two-dimensional plate models.…”

Section: Introductionmentioning

confidence: 99%

“…Higher-order theories supposed by CUF are free from Poisson locking phenomenon and they do not require any shear correction factor. Therefore, combining IGA and CUF provides a suitable methodology to analyze laminated plates [33]. Various works done by researchers [34,35,36,37,38,39] on FE (Finite Element) modelling of laminated composite plates/shells.…”

Section: Introductionmentioning

confidence: 99%

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Bi-Axial Buckling of Laminated Composite Plates Including Cutout and Additional Mass

et al. 2019

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In the presented paper, a study of bi-axial buckling of the laminated composite plate with mass variation through the cutout and additional mass is carried out using the improved shear deformation theory (ISDT). The ISDT mathematical model employs a cubic variation of thickness co-ordinates in the displacement field. A realistic parabolic distribution of transverse shear strains through the plate thickness is assumed and the use of shear correction factor is avoided. A C° finite element formulation of the mathematical model is developed to analyze the buckling behavior of laminated composite plate with cutout and additional mass. As no results based on ISDT for the considered problem of bi-axial buckling of the laminated composite plate with mass variation are available in the literature, the obtained results are validated with the data available for a laminated composite plate without cutout and additional mass. Novel results are obtained by varying geometry, boundary conditions and ply orientations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bi-Axial Buckling of Laminated Composite Plates Including Cutout and Additional Mass

et al. 2019

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“…Caliri Jr. et al 27 presented a new elastic solution method for thick laminated composites and sandwich structures based on a generalized unified formulation using the finite element method. Alesadi et al 28,29 combined the isogeometric approach and Carrera unified formulation (CUF) to investigate the tree vibration and buckling analysis of composite laminated plates.…”

Section: Introductionmentioning

confidence: 99%

An efficient eight‐node quadrilateral element for free vibration analysis of multilayer sandwich plates

Belarbi

Zenkour

Tati

et al. 2021

Numerical Meth Engineering

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This article presents a free vibration analysis of laminated sandwich plates under various boundary conditions by using an efficient C0 eight‐node quadrilateral element. This new element is formulated based on the recently proposed layerwise model. The present model assumes an improved first‐order shear deformation theory for the face sheets while a higher‐order theory is assumed for the core maintaining an interlaminar displacement continuity. The advantage of this model relies on its number of variables is fixed, does not increase when increasing the number of lamina layers. This is a very important feature compared to the conventional layerwise models and facilitates significantly the engineering analysis. Indeed, the developed finite element is free of the shear locking phenomenon without requiring any shear correction factors. The governing equations of motion of the sandwich plate are derived via the classical Hamilton's principle. Several examples covering the various features such as the effect of modular ratio, aspect ratios, core‐to‐face thickness ratio, boundary conditions, skew angle, number of layers, geometry and ply orientations are solved for laminated composites and sandwich plates. The obtained results are compared with 3D, quasi‐3D, 2D analytical solutions, and those predicted by other advanced finite element models. The comparison studies indicate that the developed finite element model is of fast convergence to the reference and valid for both thick and thin laminated sandwich plates. Finally, it can be concluded that the present model is not only simple and accurate than the conventional ones, but also comparable with refined analytical solutions found in the literature.

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“…Specifically, the authors considered the three-dimensional (3D) stress distribution derived using hierarchical serendipity Lagrange finite elements and reported on the enhanced structural performance of VAT structures compared to that of traditional straight-fiber composites [37]. Several studies have reported on the application of the CUF in various cases involving plates, shells, beams, thermoelastics, piezo-electric problems, and aeroelastic applications [38,39,40,41,42]. In particular, in the 1D CUF beam theory, a polynomial expansion is used to describe the displacement field over the cross-section, allowing the order of the expansion to be considered as a free parameter of the formulation.…”

Section: Introductionmentioning

confidence: 99%

Effect of Fiber Orientation Path on the Buckling, Free Vibration, and Static Analyses of Variable Angle Tow Panels

Fallahi

Viglietti²,

Carrera

et al. 2020

FU Mech Eng

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In this work, the effect of the fiber orientation on the mechanical response of variable angle tow (VAT) panels is investigated. A computationally efficient high-order one-dimensional model, derived under the framework of the Carrera unified formulation (CUF), is used. In detail, a layerwise approach is adopted to predict the complex phenomena that may appear in VAT panels. Static, free-vibration and buckling analyses are performed, considering several material properties, geometries, and boundary conditions, and the results are assessed with those obtained using existing approaches. Considering the findings of the comparative analysis, several best design practices are suggested to improve the mechanical performances of VAT panels.

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Free vibration and buckling analysis of cross-ply laminated composite plates using Carrera's unified formulation based on Isogeometric approach

Cited by 39 publications

References 75 publications

Bi-Axial Buckling of Laminated Composite Plates Including Cutout and Additional Mass

Bi-Axial Buckling of Laminated Composite Plates Including Cutout and Additional Mass

An efficient eight‐node quadrilateral element for free vibration analysis of multilayer sandwich plates

Effect of Fiber Orientation Path on the Buckling, Free Vibration, and Static Analyses of Variable Angle Tow Panels

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