A review of the analysis of sandwich FGM structures

Garg, Aman; Belarbi, Mohamed‐Ouejdi; Chalak, H. D.; Chakrabarti, Anupam

doi:10.1016/j.compstruct.2020.113427

Cited by 159 publications

(30 citation statements)

References 156 publications

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“…These nanostructures feature many beneficial properties, primarily, a high strength-to-weight ratio, a high stiffness, among others [2][3][4][5]. In order to enhance the behavior of these microstructures, material properties of nano elements might change from one location to another one similar to functionally graded materials (FGM) [6]. These types of structures are called as FGM nanostructures.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal vibration of functionally graded nanoplates using a layerwise theory

Belarbi

Houari

et al. 2022

Mathematics and Mechanics of Solids

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This work studies the size-dependent free vibration response of functionally graded (FG) nanoplates using a layerwise theory. The proposed model supposes not only a higher-order displacement field for the core but also the first-order displacement field for the two face sheets, thereby maintaining an interlaminar displacement continuity among layers. Unlike the conventional layerwise models, the number of variables is kept fixed and does not increase for an increased number of layers. This is a very important feature compared to conventional layerwise models and facilitates significantly the engineering analyses. The material properties of the FG nanoplate are graded continuously through the thickness direction in accordance with a power-law function. The Eringen’s nonlocal elasticity theory is here adopted to relax the continuum axiom required in classical continuum mechanics and hence hopeful to capture the small size effects of naturally discrete nanoplates. The equations of motion of the problem are obtained via a classical Hamilton’s principle. The present layerwise model is implemented with a computationally efficient C0- continuous isoparametric serendipity elements and applied to solve a large-scale discrete numerical problem. The robustness and reliability of the developed finite element model are demonstrated by a comparative evaluation of results against predictions from literature. The comparative studies show that the proposed finite element model is: (a) free of shear locking, (b) accurate with a fast rate convergence for both thin and thick FG nanoplates, and (c) excellent in terms of numerical stability. Moreover, a detailed parametric analysis checks for the sensitivity of the vibration response of FG nanoplates to the aspect ratio, length-to-thickness ratio, nonlocal parameter, boundary conditions, power-law index, and modes shapes. Referential results are also reported, for the first time, for natural frequencies of FGM nanoplates which will serve as benchmarks for further computational investigations.

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Section: Introductionmentioning

confidence: 99%

Nonlocal vibration of functionally graded nanoplates using a layerwise theory

Belarbi

Houari

et al. 2022

Mathematics and Mechanics of Solids

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“…Recent research highlighted the use of sandwich FGM structures as structural elements. Garg et al [10] provided an extensive review on the application of various methods and theories utilized for the analysis of sandwich FGM structures subjected to various loadings.…”

Section: Introductionmentioning

confidence: 99%

FEA Investigation of Elastic Buckling for Functionally Graded Material (FGM) Thin Plates with Different Hole Shapes under Uniaxial Loading

et al. 2022

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In this paper, an investigation of linear eigenvalue buckling of functionally graded material (FGM) plates under uniaxial loading is carried out. The computer model is analyzed using the finite element (FE) package ABAQUS. An analysis is carried out to study the effect of the size and geometry of openings in the FGM plate on the critical buckling load. The circular, square, and diamond openings vary in size based on the ratio of the opening diameter to the width of the FGM plate. Moreover, the effect of the aspect ratio (width to thickness) of the FGM plate on the critical buckling load is examined. Further, the effect of the power law index on buckling behavior is investigated. The results show that the increase in the size of the opening and the aspect ratio reduces the critical buckling load of the FGM plate. Moreover, the lower the power law index, the higher the critical buckling load. The diamond shape opening shows the best performance in terms of the critical buckling load, and the effect of the plate thickness has a more significant influence on the critical buckling load of the FGM plate compared to the size of the opening.

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“…Other detailed review on the recent progress of the FGM structures and their properties and applications is available in literature. [21][22][23][24] By using various higher order shear deformation theories, Zenkour et al 25 carried-out a bending analysis of a simply supported FG viscoelastic sandwich beam with elastic core resting on Pasternak elastic foundations. Bennai et al 26 developed a new refined hyperbolic shear and normal deformation beam theory to study the free vibration and buckling of FG sandwich beams.…”

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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A review of the analysis of sandwich FGM structures

Cited by 159 publications

References 156 publications

Nonlocal vibration of functionally graded nanoplates using a layerwise theory

Nonlocal vibration of functionally graded nanoplates using a layerwise theory

FEA Investigation of Elastic Buckling for Functionally Graded Material (FGM) Thin Plates with Different Hole Shapes under Uniaxial Loading

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

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