Zigzag theory for static and free vibration response of functionally graded smart plates and elastic shells

Abstract

newline Multilayered functionally graded material (FGM) plates and shells have been mod- newlineeled and analyzed using a zigzag shear deformation theory. Smart FGM plates and newlineelastic FGM shells have been considered. Different FGM layers have been stacked over newlineone another and perfect interlaminar bonding is assumed between them. Material prop- newlineerties in each FGM layer varies along thickness direction. Both rule of mixtures method newlineand Mori-Tanaka method have been used for calculation of effective material properties. newlineLinear stress-strain and strain-displacement relations have been used. Inplane displace- newlinement field components have been taken as a combination of linear layerwise and cubic newlineglobal terms. Governing equations of motion and boundary conditions have been derived newlineusing Hamilton s principle. The theory is capable of predicting structural responses in newlinepresence of material property continuity as well as discontinuity at the interfaces. newlineAnalytical solutions have been obtained and analyzed for simply supported elastic newlineand smart FGM plates and panels as well as for elastic shells. Static and free vibra- newlinetion responses have been analyzed in a number of multilayered FGM laminates with newlinediscontinuity or continuity in material properties at their interfaces. Present responses newlinehave been compared with three dimensional exact solutions and other shear deforma- newlinetion theories. The theory yields accurate results for displacements, stresses and natural newlinefrequencies in simply-supported FGM plates, shells and panels. Effects of aspect ra