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Steel and Composite Structures Volume 26, Number 4, February25 2018 , pages 387-405 DOI: https://doi.org/10.12989/scs.2018.26.4.387 |
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A new and simple HSDT for isotropic and functionally graded sandwich plates |
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Hafida Driz, Mamia Benchohra, Ahmed Bakora, Abdelkader Benachour, Abdelouahed Tounsi and El Abbes Adda Bedia
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| Abstract | ||
| A novel higher shear deformation theory (HSDT) is proposed for the bending, buckling and free vibration investigations of isotropic and functionally graded (FG) sandwich plates. It contains only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional HSDTs. The model accounts for a parabolic variation of transverse shear stress, respects the traction free boundary conditions and contrary to the conventional HSDTs, the present one presents a novel displacement field which incorporates undetermined integral terms. Equations of motion determined in this work are applied for three types of FG structures: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Analytical solutions are given to predict the transverse displacements, stresses, critical buckling forces and natural frequencies of simply supported plates and a comparison study is carried out to demonstrate the accuracy of the proposed model. | ||
| Key Words | ||
| bending; buckling; vibration; sandwich plate; functionally graded materials; plate theory | ||
| Address | ||
| (1) Hafida Driz, Mamia Benchohra, Ahmed Bakora, Abdelkader Benachour, Abdelouahed Tounsi, El Abbes Adda Bedia: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, 22000 Sidi Bel Abbes, Algeria; (2) Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia. | ||