Impact of partial loads on elastic bending behavior of functionally graded plates resting on a partial elastic foundation

Mounir Takouachet, Abderrahmane Menasria, Nabil Himeur, Abdelhakim Bouhadra and Abdelouahed Tounsi

Abstract

This study investigates the coupled effects of loading types, thickness stretching, Winkler–Pasternak and Kerr foundation variations on the flexural behaviour of simply supported functionally graded (FG) plates. A simplified quasi-3D high-order shear deformation theory incorporating integral terms is used. The governing equilibrium equations consider the interaction between the loading type and the variation of Winkler–Pasternak and Kerr foundation parameters. The numerical results for non-dimensional stresses and displacements are obtained using the virtual displacement principle and Navier's solution technique. The accuracy of the non-dimensional formulas is validated against existing literature, demonstrating excellent agreement. Additionally, several parametric studies examine the effects of various geometric and material factors. This analytical model is well suited for analyzing the bending behaviour of simply supported FG plates in specific engineering applications.

Key Words

elastic bending; FG Plate; Navier solution; partial foundation; partial loads; Quasi-3D theory; virtual work principle

Address

Mounir Takouachet: Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, BP 89, Sidi Bel Abbes 22000, Algeria Abderrahmane Menasria and Abdelhakim Bouhadra: Civil Engineering Department, Faculty of Sciences and Technology, University of Khenchela, BP 1252 Road of Batna, Khenchela 40000, Algeria/ Materials and Hydrology Laboratory, University of Sidi Bel Abbes, BP 89, Sidi Bel Abbes 22000, Algeria Nabil Himeur: Mechanical Engineering Department, Faculty of Sciences and Technology, University of Khenchela, BP 1252 Road of Batna, Khenchela 40000, Algeria Abdelouahed Tounsi: Materials and Hydrology Laboratory, University of Sidi Bel Abbes, BP 89, Sidi Bel Abbes 22000, Algeria/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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