In this paper, the wave propagation approach is presented to analyze the vibration and wave power reflection in FG rectangular plates based on the first order shear deformation plate theory. The wave propagation is one of the useful methods for analyzing the vibration of structures. This method gives the reflection and propagation matrices that are valuable for the analysis of mechanical energy...

In this paper, both 2D and quasi-3D hyperbolic integral shear deformation theories are employed for buckling analysis of functionally graded (FG) plates. The simplicity the developed theory is due to reduced number unknowns used in field displacement. proposed model takes into account effect normal transverse deformations ensures nullity stresses at top bottom surfaces studied structure without...

This paper presents a comprehensive study on bending, vibration and buckling behaviours of the multi-directional FG microplates. The material properties vary continuously both in-plane through-thickness directions. Based quasi-3D shear normal deformation plate theory modified strain gradient theory, finite element model is proposed employed to solve problems microplates with various boundary co...

Present paper is devoted to stress and deformation analyses of heated variable thickness functionally graded (FG) circular plate with clamped supported, embedded on a gradient elastic foundation and subjected to non-uniform transverse load. The plate is coupled by an elastic medium which is simulated as a Winkler- Pasternak foundation with gradient coefficients in the radial and circumferential...

This paper proposes a new general framework of higher-order shear deformation theory (HSDT) and solves the structural responses functionally graded (FG) plates using novel exponential shape functions for Ritz method. Based on fundamental equations elasticity theory, displacement field is expanded in unified form which can recover to many different plate theories such as zeroth-order third-order...

In this article, an exact analytical solution for thermal buckling analysis of thin functionallygraded (FG) rectangular plates is presented. Based on the classical plate theory and using the principle ofminimum total potential energy, the stability equations are obtained. Since the material properties in FGmaterials are functions of the coordinates (specially the thickness), the stability equat...

An analytical solution for a sandwich circular FGM plate coupled with piezoelectric layers under one-dimension heat conduction is presented in this paper. A nonlinear static problem is solved first to determine the initial stress state and pre-vibration deformations. By adding an incremental dynamic state to the pre-vibration state, the differential equations are derived. The role of thermal en...

Abstract An investigation of dynamic behaviors a sandwich plate containing an imperfect two dimensional functionally graded (2D-FG) core surrounded by faces on two-parameter elastic foundation and subjected to moving load is carried out in this paper. The present solid composed porous 2D-FG covered homogenous layers. It assumed that the middle layer has micro voids dispersed uniformly unevenly ...

In present paper, vibration of Nano FGM plate based on modified couple stress and First Order Shear Deformation Theories (FSDT) under moving load has been developed. Basic equations and linear strains are introduced by first order shear deformation theory and Mori Tanaka’s model is used for the plate. The module of elasticity and density are assumed to vary only through thickness of plate. Gove...