On the bending behavior of porous functionally graded plates under hygrothermo- mechanical loads

Baghdad Hassaine Daouadji , Amina Attia , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Abdeldjebbar Tounsi , Sherain M.Y. Mohamed , Saad Althobaiti , Mahmoud M. Selim , Murat Yaylaci , Salem Mohammed Aldosari

Abstract

This investigation focuses on the static behavior of an advanced porous functionally graded (FG) plate with varying material composition, subjected to combined mechanical, thermal, and moisture loads while resting on a viscoelastic foundation. A modified first-order shear deformation theory (FSDT), enhanced by a shear distribution function, is employed to more accurately capture out-of-plane shear deformation. The variation of elastic properties through the plate' s thickness is described using a power-law distribution. The effects of temperature and moisture on the material properties are assumed to be linear and are incorporated into the analysis to evaluate their influence on the plate' s bending behavior. The viscoelastic foundation is modeled using three parameters: Winkler's modulus, Pasternak's shear coefficient, and a damping coefficient. The governing equations are derived using the principle of virtual displacement and solved analytically using the Navier method under simply supported boundary conditions. The nondimensional numerical results are validated through comparison with existing literature. A detailed parametric study is conducted to examine the effects of the gradient index, porosity index, temperature variation, moisture concentration, and damping coefficient on the bending response of the FG plate. The results demonstrate the complex interactions between these parameters and confirm the robustness and effectiveness of the proposed model in evaluating the mechanical performance of FG structures under realistic environmental and mechanical loading conditions.

Key Words

bending; modified first shear deformation theory; porous ceramic-metal plate; viscoelastic base

Address

Baghdad Hassaine Daouadji — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Amina Attia — Department of Civil Engineering and Public Works, Engineering and Sustainable Development Laboratory, Faculty of Science and Technology, University of Ain Temouchent, Algeria
Amina Attia — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Abdelouahed Tounsi — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Abdeldjebbar Tounsi — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Mechanical Engineering Department, Faculty of Science and Technology, University of Rélizane, Relizane, Algeria
Sherain M.Y. Mohamed and Mahmoud M. Selim — 6Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Saad Althobaiti — Department of Sciences and Technology, Ranyah University Collage, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Murat Yaylaci — Department of Civil Engineering, Recep Tayyip Erdogan University, 53100, Rize, Turkey; Faculty of Turgut Kiran Maritime, Recep Tayyip Erdogan University, 53900, Rize, Turkey
Salem Mohammed Aldosari — Material Science Research Institute, King Abdulaziz City for Science and Technology (KACST), Riyadh 11442, Saudi Arabia; Composites and Advanced Materials Centre, School of Aerospace, Transport and Manufacturing, Cranfield University, Cranfield MK43 0AL, UK

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