A new four-unknown equivalent single layer refined plate model for buckling analysis of functionally graded rectangular plates

Ibrahim Klouche Djedid , Sihame Ait Yahia , Kada Draiche , Emrah Madenci , Kouider Halim Benrahou , Abdelouahed Tounsi

Abstract

This paper presents a new four-unknown equivalent single layer (ESL) refined plate theory for the buckling analysis of functionally graded (FG) rectangular plates with all simply supported edges and subjected to in-plane mechanical loading conditions. The present model accounts for a parabolic variation of transverse shear stress over the thickness, and accommodates correctly the zero shear stress conditions on the top and bottom surfaces of the plate. The material properties are supposed to vary smoothly in the thickness direction through the rules of mixture named power-law gradation. The governing equilibrium equations are formulated based on the total potential energy principle and solved for simply supported boundary conditions by implementing the Navier's method. A numerical result on elastic buckling using the current theory was computed and compared with those published in the literature to examine the accuracy of the proposed analytical solution. The effects of changing powerlaw exponent, aspect ratio, thickness ratio and modulus ratio on the critical buckling load of FG plates under different in-plane loading conditions are investigated in detail. Moreover, it was found that the geometric parameters and power-law exponent play significant influences on the buckling behavior of the FG plates.

Key Words

buckling; ESL refined plate theory; FG plates; Navier's method

Address

Ibrahim Klouche Djedid — Laboratoire Matériaux et Structures (LMS), University of Tiaret, Algeria; Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria
Sihame Ait Yahia — Laboratoire Matériaux et Structures (LMS), University of Tiaret, Algeria; Department of Civil Engineering, University Hassiba Benbouali of Chlef, Algeria
Kada Draiche — Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Emrah Madenci — Department of Civil Engineering, Necmettin Erbakan University, 42090, Konya, Turkey
Kouider Halim Benrahou — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon

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