Impact of porosity distribution on static behavior of functionally graded plates using a simple quasi-3D HSDT

Farouk Yahia Addou , Fouad Bourada , Mustapha Meradjah , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Mofareh Hassan Ghazwani , Ali Alnujaie

Abstract

The bending of a porous FG plate is discussed in this study using a novel higher quasi-3D hyperbolic shear deformation theory with four unknowns. The proposed theory takes into consideration the normal and transverse shear deformation effect and ensures the parabolic distribution of the transverse stresses through the thickness direction with zerotraction at the top and the bottom surfaces of the structure. Innovative porous functionally graded materials (FGM) have through-thickness porosity as a unique attribute that gradually varies with their qualities. An analytical solution of the static response of the perfect and imperfect FG plate was derived based on the virtual work principle and solved using Navier's procedure. The validity and the efficiency of the current model is confirmed by comparing the results with those obtained by others solutions. The comparisons showed that the present model is very efficient and simple in terms of computation time and exactness. The impact of the porosity parameter, aspect ratio, and thickness ratio on the bending of porous FG plate is shown through a discussion of several numerical results.

Key Words

bending analysis; porous FG plate; Quasi-3D HSDT

Address

Farouk Yahia Addou — 1) Civil Engineering Department, Faculty of Science and Technology, University of Mostaganem, Algeria, 2) Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Fouad Bourada — 1) Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria, 2) Science and Technology Department, Faculty of Science and Technology, Tissemsilt University, Algeria
Mustapha Meradjah and Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Abdelouahed Tounsi — 1) Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, 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, 4) Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia
Mofareh Hassan Ghazwani and Ali Alnujaie — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia

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