Flexural characteristics of composites plates resting on elastic foundations via an innovative integral shear deformation theory

Imene Ait Sidhoum , Fouad Bourada , Abdelmoumen Anis Bousahla , Mohamed Bourada , Abdeldjebbar Tounsi , Mohamed A. Al-Osta , Abdelouahed Tounsi , Mohammed Balubaid , S.R. Mahmoud

Abstract

This paper aims to demonstrate a predictive model for the flexural behavior of isotropic, orthotropic, and laminated plates resting on Winkler-Pasternak elastic foundation type. This study utilizes An Innovative integral hyperbolic higher-order shear deformation theory that requires only four unknowns. The model incorporates shear deformation effects while satisfying zero shear stresses at the plate's free edges, eliminating the need for shear correction factors. The developed theories are based on a novel displacement field description that includes terms involving indefinite integrals to minimize the number of unknowns. The governing equation, derived from the virtual displacement is solved using Navier's analytical solution. The results obtained in the current study are consistent with available results in the existing literature. Additionally, the proposed theory is intriguing and shows promise for investigating further problems related to the mechanical behavior of plates due to their reduced variable count.

Key Words

bending; elastic foundation; laminated plate; shear stresses

Address

Imene Ait Sidhoum — Artificial Intelligence Laboratory for Mechanical and Civil Structures and Soil, University Center of Naama, Salhi Ahmed Naama, Algeria; Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Sidi Bel Abbès, Algeria
Fouad Bourada — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Sidi Bel Abbès, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Mohamed Bourada — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Sidi Bel Abbès, Algeria
Abdeldjebbar Tounsi — Mechanical Engineering Department, Faculty of Science and Technology, University of Rélizane, Relizane, Algeria
Mohamed A. Al-Osta — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Interdisciplinary Research Center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia
Abdelouahed Tounsi — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Sidi Bel Abbès, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Interdisciplinary Research Center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia
Mohammed Balubaid — Department of Industrial Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
S.R. Mahmoud — GRC Department, Applied College, King Abdulaziz University, Jeddah 21589, Saudi Arabia

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