Influence of porosity on the analysis of sandwich plates FGM using of high order shear-deformation theory.

Abstract

In this article, the analytical solutions for static of bending analysis of functionally graded sandwich plates using four-variable high order shear-deformation theory is presented. During manufacture of these plates, defects such as porosities can appear. The objective of this paper is to develop a model to employ the new function for analysis the static of functionally graded sandwich plates. However, the material properties of the sandwich plate varies according to a power law P-FGM form through the thickness coordinate depending on the volume fraction of the constituent material. Equilibrium and stability equations are derived based on the present theory. The solution of the problem is derived by using Navier's technique. The influences of many sandwich plate parameters such of the variation and influences of porosity coefficient, aspect ratio, side-to-thickness ratio and exponent volume fraction will be investigated.

Natural Frequencies of FG Plates with Two New Distribution of Porosity

“…Compared to the data available in the literature (Hosseini-Hashemi et al [17], Matsunaga [19], Askari et al [21], Benachour et al [23], Belabed et al [24] and Rezaei et al [37]), the frequencies obtained from this analysis are a fine fit for FGP plates. In Tab.2., Rezaei et al [37,38] and Askari et al [22] compared 4 fundamental frequencies of a simply supported rectangular FGP plate with two distinct even and uneven porosity distributions to their counterparts. A strong agreement between the observations indicates the consistency of the new method.…”

“…Taking into account the effects of transverse shear and normal deformations and rotational inertia, natural frequencies and buckling stresses of plates made of dynamically graded materials were analyzed by Rezaei et al [20]. Askari et al [21], Merdaci et al [22], Rezaei et al [38] and Reddy [39], studied the impact of porosity on the normal frequency of thick porous cellular plates was studied. The researchers investigated the impact of porosity on FGM sandwich plates using the principle of high order shear deformation (Benachour et al [23]).…”

Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates

“…Among the most recent works, Ait Yahia et al [39] applied different higher-order theories to explore the wave propagation in FG porous plates, whereas Mouaici et al [40] proposed an analytical solution to the vibration problem of FGM plates with porosities, taking into account the exact position of the neutral surfaces. Based on results from literature, the importance of accounting for porosities in the design of FGM structures subjected to static [41][42][43][44] or dynamic loads [45,46] is evident even in a nonlocal sense [47]. In such a context, the present work aims at studying the free vibration of SS porous FG plates made of Aluminum (Al) and Alumina (Al 2 O 3 ), based on a novel HSDT theory, whose material properties are supposed to vary continuously throughout the thickness according to a "power-law" properly modified to include the porosity sensitivity.…”

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

“…A new, higher order sharp theory of deformation (HSDT) is used in the study of the bending and free vibration of multi-layered panels and coats [21]. 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]. It is proposed to study twin (2D) and quasi-3D (sometimes 3D) functionally graded plates to bend and free vibration using hyperbolic HSDT function [27].…”

“…The literature reviews on porosity effect are presented by several researchers in the recent works on porosity effect of FGM plates and beams. The effect of porosity is therefore 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. Consequently, studies focused more and more on the dynamic and free vibration of plate made of functionally graded FGM materials in recent years [37][38][39][40][41][42][43][44][45][46][47].…”