Analytical solution for statif bending analyses of functionally grades plates with porosities

Youcef Beldjelili,Mohamed Merazi,Hadjira Hellal,Adda Hadj Mostefa,Sabrina Boutaleb,Slimane Merdaci

doi:10.3221/igf-esis.55.05

Abstract

The paper examines a static bending of porous functional plates (FGP) and rectangular plate solutions, based on an underlying high-order shear deformation theory. The proposed high-order shear deformation theory, as opposed to other theories, includes four unknowns. For this reason, a new shear strain function is considered. The technique of Navier is used in closed-form FGP solutions. Results of deflections and stresses are presented for simply supported border conditions. Current figures are contrasted with the non-poreous plate deflecting solutions and the literature's stresses. Effects of different parameters, including thickness, gradient index and porosity of FGM plates, are discussed.

Highlights

T hese materials are generally recognized and produced in many foreign science labs, and one of the most widely used composites gives various fields such as engineering, the aeronautics, chemical, nuclear energy, electronics, optics, civil engineering, biomaterials, etc. [1,2,3,4]
The literature reviews on porosity effect are presented by several researchers in the recent works on porosity effect of functionally graded materials (FGMs) plates and beams
The effect of porosity is important to consider in the design of static and bending plates made of functionally graded materials FGM [28,29,30,31,32,33] and sandwich plates FGM with porosity Usage [33,34,35] of a high-order shear-deformation theory

Summary

Introduction

T hese materials are generally recognized and produced in many foreign science labs, and one of the most widely used composites gives various fields such as engineering, the aeronautics, chemical, nuclear energy, electronics , optics, civil engineering, biomaterials, etc. [1,2,3,4]. The rectangular bending motion on plate, which is supported only on four sides (FGM), has been studied more and more during recent years, subject to transverse static loading, with a refined shear deformation theory in high order [22,23,24,25,26]. The effect of porosity is important to consider in the design of static and bending plates made of functionally graded materials FGM [28,29,30,31,32,33] and sandwich plates FGM with porosity Usage [33,34,35] of a high-order shear-deformation theory. This theory removes the effect of shear correction factors on the plates and follows the equilibrium conditions of the porous FGM layer. In the assessment of deflations and stress distribution of functionally classified material plates, the impact of porosity on shave deformation has been increased

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Conclusion