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Structural Engineering and Mechanics Volume 72, Number 5, December10 2019 , pages 653-673 DOI: https://doi.org/10.12989/sem.2019.72.5.653 |
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A new higher-order shear and normal deformation theory for the buckling analysis of new type of FGM sandwich plates |
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Sara Chelahi Chikr, Abdelhakim Kaci, Redha Yeghnem and Abdelouahed Tounsi
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| Abstract | ||
| This work investigates a novel quasi-3D hyperbolic shear deformation theory is presented to discuss the buckling of new type of sandwich plates. This theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of all displacements through the thickness. The enhancement of this formulation is due to the use of only five unknowns by including undetermined integral terms, contrary to other theories where we find six or more unknowns. It does not require shear correction factors and transverse shear stresses vary parabolically across the thickness. A new type of FGM sandwich plates, namely, both FGM face sheets and FGM hard core are considered. The governing equations and boundary conditions are derived using the principle of virtual displacements. Analytical solutions are obtained for a simply supported plate. The accuracy of the present theory is verified by comparing the obtained results with quasi-3D solutions and those predicted by higher-order shear deformation theories. The comparison studies show that the obtained results are not only more accurate than those obtained by higher-order shear deformation theories, but also comparable with those predicted by quasi-3D theories with a greater number of unknowns. | ||
| Key Words | ||
| buckling analysis; functionally graded plate; new type of sandwich plate; refined plate theory; novel quasi-3D theory | ||
| Address | ||
| Sara Chelahi Chikr, Abdelhakim Kaci, Redha Yeghnem: Université Dr Tahar Moulay, Faculté de Technologie, Département de Génie Civil et Hydraulique, BP 138 Cité En-Nasr 20000 Saida, Algérie Sara Chelahi Chikr: Laboratoire des Ressources Hydriques et Environnement, Université Dr Tahar Moulay, BP 138 Cité En-Nasr20000 Saida, Algérie Redha Yeghnem and Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia | ||