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Steel and Composite Structures
  Volume 44, Number 3, August10 2022 , pages 353-369
DOI: https://doi.org/10.12989/scs.2022.44.3.353
 


Coupled effect of variable Winkler–Pasternak foundations on bending behavior of FG plates exposed to several types of loading
Nabil Himeur, Belgacem Mamen, Soumia Benguediab, Abdelhakim Bouhadra, Abderrahmane Menasria, Benattou Bouchouicha, Fouad Bourada, Mohamed Benguediab and Abdelouahed Tounsi

 
Abstract
    This study attempts to shed light on the coupled impact of types of loading, thickness stretching, and types of variation of Winkler–Pasternak foundations on the flexural behavior of simply- supported FG plates according to the new quasi– 3D high order shear deformation theory, including integral terms. A new function sheep is used in the present work. In particular, both Winkler and Pasternak layers are non-uniform and vary along the plate length direction. In addition, the interaction between the loading type and the variation of Winkler–Pasternak foundation parameters is considered and involved in the governing equilibrium equations. Using the virtual displacement principle and Navier's solution technique, the numerical results of nondimensional stresses and displacements are computed. Finally, the non-dimensional formulas' results are validated with the existing literature, and excellent agreement is detected between the results. More importantly, several complementary parametric studies with the effect of various geometric and material factors are examined. The present analytical model is suitable for investigating the bending of simply-supported FGM plates for special technical engineering applications.
 
Key Words
    FGM plates; Navier'technique; non-uniform Winkler–Pasternak foundations; original quasi–3D theory; several types of load
 
Address
Nabil Himeur:1)Reactive Materials and Systems Laboratory (LMSR), Department of mechanical Engineering, University of Sidi Bel Abbes, Faculty of
Technology, Algeria 2)Department of mechanical Engineering, University of Abbés Laghrour Khenchela, Faculty of Science and Technology, Algeria

Belgacem Mamen:3)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria
4)Department of Civil Engineering, University of Abbès Laghrour Khenchela, Faculty of Science and Technology, Algeria

Soumia Benguediab:Department of Civil Engineering and Hydraulic, University of Saida, Algeria

Abdelhakim Bouhadra:1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria
2)Department of Civil Engineering, University of Abbès Laghrour Khenchela, Faculty of Science and Technology, Algeria

Abderrahmane Menasria:1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria
2)Department of Civil Engineering, University of Abbès Laghrour Khenchela, Faculty of Science and Technology, Algeria

Benattou Bouchouicha:Reactive Materials and Systems Laboratory (LMSR), Department of mechanical Engineering, University of Sidi Bel Abbes, Faculty of
Technology, Algeria

Fouad Bourada:1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria
2)Department of Civil Engineering and Hydraulic, University of Saida, Algeria

Mohamed Benguedia:Reactive Materials and Systems Laboratory (LMSR), Department of mechanical Engineering, University of Sidi Bel Abbes, Faculty of
Technology, Algeria

Abdelouahed Tounsi:1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria 2)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea 3) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran,
Eastern Province, Saudi Arabia
 

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