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Ismahene Belkorissat,Abdelouahed Tounsi,Mohammed Sid Ahmed Houari,E. A. Adda Bedia,S. R. Mahmoud 국제구조공학회 2015 Steel and Composite Structures, An International J Vol.18 No.4
In this paper, a new nonlocal hyperbolic refined plate model is presented for free vibration properties of functionally graded (FG) plates. This nonlocal nano-plate model incorporates the length scale parameter which can capture the small scale effect. The displacement field of the present theory is chosen based on a hyperbolic variation in the in-plane displacements through the thickness of the nano-plate. By dividing the transverse displacement into the bending and shear parts, the number of unknowns and equations of motion of the present theory is reduced, significantly facilitating structural analysis. The material properties are assumed to vary only in the thickness direction and the effective properties for the FG nano-plate are computed using Mori-Tanaka homogenization scheme. The governing equations of motion are derived based on the nonlocal differential constitutive relations of Eringen in conjunction with the refined four variable plate theory via Hamilton's principle. Analytical solution for the simply supported FG nano-plates is obtained to verify the theory by comparing its results with other available solutions in the open literature. The effects of nonlocal parameter, the plate thickness, the plate aspect ratio, and various material compositions on the dynamic response of the FG nano-plate are discussed.
Ismahene Belkorissat,Mohammed Ameur 대한기계학회 2023 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.37 No.5
The behavior of functionally graded plates with initial geometrical imperfection laid on elastic Winkler-Pasternak foundation is presented in this paper. During the manufacturing process of FG material, imperfections in the form of material and porosity may arise leading to the modification of the mechanical properties of parts manufactured from these materials. As a result, it is required to consider the hygro-thermo-mechanical behavior of FG plates having porosities in this study. Imperfect FG plates are considered to have even and uneven porosity distributions through their cross-sections. The equilibrium equations of a porous functionally graded plate are generated via the HSD-theory and the virtual work principle. The influence of porosity and material distribution parameters on the hygro-thermo-mechanical responses of the FG plate is exposed. Examples are also presented to demonstrate the impact of diversifying gradients, volume fraction of porosity, aspect ratios on the hygro-thermal and bending of the FG plates.
Abdelouahed Tounsi,Fatima Bounouara,Kouider Halim Benrahou,Ismahene Belkorissat 국제구조공학회 2016 Steel and Composite Structures, An International J Vol.20 No.2
The objective of this work is to present a zeroth-order shear deformation theory for free vibration analysis of functionally graded (FG) nanoscale plates resting on elastic foundation. The model takes into consideration the influences of small scale and the parabolic variation of the transverse shear strains across the thickness of the nanoscale plate and thus, it avoids the employ use of shear correction factors. Also, in this present theory, the effect of transverse shear deformation is included in the axial displacements by using the shear forces instead of rotational displacements as in available high order plate theories. The material properties are supposed to be graded only in the thickness direction and the effective properties for the FG nanoscale plate are calculated by considering Mori-Tanaka homogenization scheme. The equations of motion are obtained using the nonlocal differential constitutive expressions of Eringen in conjunction with the zeroth-order shear deformation theory via Hamilton's principle. Numerical results for vibration of FG nanoscale plates resting on elastic foundations are presented and compared with the existing solutions. The influences of small scale, shear deformation, gradient index, Winkler modulus parameter and Pasternak shear modulus parameter on the vibration responses of the FG nanoscale plates are investigated.