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Ibrahim Klouche Djedid,Sihame Ait Yahia,Kada Draiche,Emrah Madenci,Kouider Halim Benrahou,Abdelouahed Tounsi 국제구조공학회 2024 Structural Engineering and Mechanics, An Int'l Jou Vol.90 No.5
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.
A mechanical behavior of composite plates using a simple three variable refined plate theory
Ahmed Bakoura,Ibrahim Klouche Djedid,Fouad Bourada,Abdelmoumen Anis Bousahla,S.R. Mahmoud,Abdelouahed Tounsi,Mofareh Hassan Ghazwani,Ali Alnujaie 국제구조공학회 2022 Structural Engineering and Mechanics, An Int'l Jou Vol.83 No.5
A novel three variable refined plate theory (TVRPT) is developed in this article for laminated composite plates for the first time. The theory takes into account the nonlinear variation of transverse shear deformations, and satisfies the boundary conditions of zero traction on the plate surfaces without considering the “shear correction factor”. The important characteristic of this new kinematic is that the unknowns numbers is only 3 as is employed in “classical plate theory” (CPT). The numerical results of the current theory are compared with 3D-elasticity solutions and the calculations of “first order theories” and other higher order models found in the literature.