A New High Order Theory for Buckling Temperature Analysis of Functionally Graded Sandwich Plates Resting on Elastic Foundations

Chitour, M.; Bouhadra, A.; Benguediab, M.; Mansouri, K.; Menasria, A.; Tounsi, A.

doi:10.21272/jnep.14(3).03028

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…Since then, different mixtures of metals and non-metals were tried to combine strengths of multiple materials as per functional requirement [1]. Functionally graded materials (FGM) are a class of composites in which the properties of the material gradually change over one or more cartesian directions [2]. FGMs have a wide range of applications in various sectors due to their flexibility in making a particular composite material according to the requirement.…”

Section: Introductionmentioning

confidence: 99%

Effect of Idealization Models on Deflection of Functionally Graded Material (FGM) Plate

Rebai¹,

Mansouri²,

Chitour³

et al. 2023

J. Nano- Electron. Phys.

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Functionally graded materials (FGM) are a class of composites, in which the properties of the material gradually change over one or more Cartesian directions, the combination of which results in an assembly with higher performance than components taken separately. This class of composite materials has gained considerable attention in the engineering community, especially in high-temperature applications such as nuclear reactors, aerospace, and power generation industries. The aim of the current work is to study the influence of homogenization (idealization) models and thermal loads on static deflection behavior of sandwich functionally graded plate. Several micromechanical models have been employed to obtain the effective material properties of the two-phase FGM plate. The FGM plate is subjected to linear and no linear thermal loads. The integral theory used contains only four variable functions as against five in the case of other HSDTs. The governing equation are derived and resolved via virtual work principle and Navier's model. The accuracy of the proposed analytical model is confirmed by comparing the results with those given by others model existing in the literature.

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Section: Introductionmentioning

confidence: 99%

Effect of Idealization Models on Deflection of Functionally Graded Material (FGM) Plate

Rebai¹,

Mansouri²,

Chitour³

et al. 2023

J. Nano- Electron. Phys.

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show abstract

“…Functionally graded materials (FGM) are a class of composites in which the properties of the material gradually change over one or more Cartesian directions [1,2], the combination of which results in an assembly with higher performance than components taken separately [2], FGMs are widely used in many scientific and engineering fields, such as aerospace, automobile, electronics, optics, chemistry, biomedical engineering, nuclear engineering and mechanical engineering [3]. By gradually varying the volume fractions of the constituents, the mechanical properties of FGM exhibit a smoothly and continuously change from one surface to the other, thus distinguishing them from laminated composite materials, which have a mismatch of mechanic properties across in interface due to two discrete materials bonded together [4].…”

Section: Introductionmentioning

confidence: 99%

Effect of Phase Contrast and Geometrical Parameters on Bending Behavior of Sandwich Beams with FG Isotropic Face Sheets

Chitour¹,

Bouhadra²,

Benguediab³

et al. 2022

J. Nano- Electron. Phys.

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Our work is to study the bending behavior of sandwich beams with functional gradient by constituting an isotropic material whose material properties vary smoothly in the z direction only (FGM), where the central layer presents purely a homogeneous and isotropic ceramic. The mechanical properties of FG sandwich beams are assumed to be progressive in thickness according to a power law (P-FGM). Generally, the principle of virtual works is used to obtain the equilibrium equations, and their solutions are obtained based on Navier's solution technique. The present model is based on a shear deformation theory of 2D and 3D beams which contains four unknowns to extract the equilibrium equations of FG sandwich beams. In addition, analytical solutions for bending are used and numerical models are presented to verify the accuracy of the present theory. All the results obtained show that the stiffness of the FG beam decreases as a function of the increase in the volume fraction index k, leading to an increase in the deflections. However, FG beams become flexible by increasing the proportion of the metal to the ceramic part. Furthermore, the influences of material volume fraction index, layer thickness ratio, side-to-height ratio, and the effect of the phase contrast, on the deflections, normal and shear stress of simply supported sandwich FG beams are taken into investigation and discussed in detail. Finally, all our results obtained are in agreement with other previous theoretical works.

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Effect of material composition on bending analysis of functionally graded sandwich beams using a 2D refined hyperbolic theory (different types of sandwiches beams)

Khadraoui,

Chitour,

Mansouri

et al. 2024

SEES

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This study attempts to shed light on the analysis of the static behavior of simply supported FG type property gradient material beams. A new 2D refined beams theory is presented to model the displacement field. Young's modulus is considered to vary gradually and continuously according to a power-law distribution in terms of volume fractions of the constituent materials. The equilibrium equations are obtained by applying the principle of virtual work. Based on principle of virtual work, the equilibrium equations are drawn including the material parameters, and compressive forces. An analytical approach for simply-supported is implemented. The governing equilibrium equations are thus solved by using the analytical model developed here and Navier's solution technique for the case of a simply supported sandwich beam. Moreover, Using the numerical results of the non-dimensional stresses and displacements are calculated and compared with those obtained by other theories. Two studies are presented, comparative and parametric, the objective of which is the first to show the accuracy and efficiency of the theory used and the second to analyze the mechanical behavior of the different types of sandwich beams under the effect of different parameters. Namely the material index (k), the thickness ratio (a/h) and the beam type.

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A New High Order Theory for Buckling Temperature Analysis of Functionally Graded Sandwich Plates Resting on Elastic Foundations

Cited by 3 publications

References 11 publications

Effect of Idealization Models on Deflection of Functionally Graded Material (FGM) Plate

Effect of Idealization Models on Deflection of Functionally Graded Material (FGM) Plate

Effect of Phase Contrast and Geometrical Parameters on Bending Behavior of Sandwich Beams with FG Isotropic Face Sheets

Effect of material composition on bending analysis of functionally graded sandwich beams using a 2D refined hyperbolic theory (different types of sandwiches beams)

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