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

Authors M. Chitour1 , A. Bouhadra2,3 , S. Benguediab4, A. Saoudi2,5, A.R. Menasria2,3, A. Tounsi1,3

1Djillali Liabes University, Sidi Belabbes, 22000 Algeria

2Abbes Laghrour-Khenchela University Khenchela, 40004 Algeria

3Materials and Hydrology Laboratory, Djillali Liabes University, Sidi Bel Abbés, Algeria

4Tahar Moulay University, Saida, 20000 Algeria

5Engineering and Advanced Materials Science Laboratory (ISMA), Abbes Laghrour Khenchela University, P.O. Box 1252, 40004 Algeria

Е-mail chitour.mourad@univ-khenchela.dz
Issue Volume 14, Year 2022, Number 5
Dates Received 29 July 2022; revised manuscript received 20 October 2022; published online 28 October 2022
Citation M. Chitour, A. Bouhadra, et al., J. Nano- Electron. Phys. 14 No 5, 05016 (2022)
DOI https://doi.org/10.21272/jnep.14(5).05016
PACS Number(s) 46.70.De, 81.05. – t, 62.20.F
Keywords FG sandwich beams, Bending behavior, Phase contrast, Virtual works, Navier’s solution.

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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