Combined influence of porosity and elastic foundation parameters on the bending behavior of advanced sandwich structures

Malek Hadji, Abdelhakim Bouhadra, Belgacem Mamen, Abderahmane Menasria, Abdelmoumen Anis Bousahla, Fouad Bourada, Mohamed Bourada, Kouider Halim Benrahou1 and Abdelouahed Tounsi

Abstract

Elastic bending of imperfect functionally graded sandwich plates (FGSPs) laying on the Winkler-Pasternak foundation and subjected to sinusoidal loads is analyzed. The analyses have been established using the quasi-3D sinusoidal shear deformation model. In this theory, the number of unknowns is condensed to only five unknowns using integral-undefined terms without requiring any correction shear factor. Moreover, the current constituent material properties of the middle layer is considered homogeneous and isotropic. But those of the top and bottom face sheets of the graded porous sandwich plate (FGSP) are supposed to vary regularly and continuously in the direction of thickness according to the trigonometric volume fraction's model. The corresponding equilibrium equations of FGSPs with simply supported edges are derived via the static version of the Hamilton's principle. The differential equations of the system are resolved via Navier's method for various schemes of FGSPs. The current study examine the impact of the material index, porosity, side-to-thickness ratio, aspect ratio, and the WinklerPasternak foundation on the displacements, axial and shear stresses of the sandwich structure.

Key Words

elastic bending; FG sandwich plate; Navier's method; porous plate; trigonometric-law; winkler-pasternak foundation

Address

Malek Hadji: 1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria 2)Department of Climatic Engineering, University of Mentouri Brothers Constantine, Faculty of Science of Technology, 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 Belgacem Mamen: 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 Abderahmane 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 Abdelmoumen Anis Bousahla: 1)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 2)Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbes, Algeria Fouad Bourada: 1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria 2) Département des Sciences et de la Technologie, Université de Tissemsilt, BP 38004 Ben Hamouda, Algérie Mohamed Bourada: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria Kouider Halim Benrahou: 1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria 2)Princess Nourah bint Abdulrahman University, Saudi Arabia 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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