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Advances in Materials Research Volume 10, Number 4, December 2021 , pages 293-311 DOI: https://doi.org/10.12989/amr.2021.10.4.293 |
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Effect of porosity on the free vibration analysis of various functionally graded sandwich plates |
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Mohamed Saad, Lazreg Hadji and Abdelouahed Tounsi
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| Abstract | ||
| In this paper, a simple refined shear deformation theory which eliminates the use of a shear correction factor was presented for free vibration analysis of FG sandwich plates composed of FG porous face sheets and an isotropic homogeneous core. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. Material properties of FGM layers are assumed to vary continuously across the plate thickness according to either power-law function in terms of the volume fractions of the constituents. The face layers are considered to be FG porous across each face thickness while the core is made of a ceramic homogeneous layer. Four models of porosity distribution are proposed. Governing equations and boundary conditions are derived from Hamilton's principle. Analytical solutions were obtained for free vibration analysis of square sandwich plates with FG porous layers under various boundary conditions. Numerical results are presented to show the effect of the porosity volume fraction, type of porosity distribution model, side to thickness ratio, lay-up scheme, and boundary conditions on the free vibration of FG sandwich plates. The validity of the present theory is investigated by comparing some of the present results with other published results. | ||
| Key Words | ||
| free vibration; functionally graded materials; porosity; power-law function; sandwich plates | ||
| Address | ||
| (1) Mohamed Saad, Lazreg Hadji: Department of Mechanical Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; (2) Mohamed Saad: Laboratory of Industrial Technology, Department of Mechanical Engineering, University of Tiaret, Algeria; (3) Lazreg Hadji: Laboratory of Geomatics and Sustainable Development, Ibn Khaldoun University of Tiaret, Algeria; (4) Abdelouahed Tounsi: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; (5) Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; (6) Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia. | ||
