Bending and vibration of functionally graded material sandwich plates using an accurate theory

In this paper, the bending and the free flexural vibration behaviour of sandwich functionally graded material (FGM) plates are investigated using QUAD-8 shear flexible element developed based on higher order structural theory. This theory accounts for the realistic variation of the displacements through the thickness. The governing equations obtained here are solved for static analysis considering two types of sandwich FGM plates, viz., homogeneous face sheets with FGM core and FGM face sheets with homogeneous hard core. The in-plane and rotary inertia terms are considered for vibration studies. The accuracy of the present formulation is tested considering the problems for which three-dimensional elasticity solutions are available. A detailed numerical study is carried out based on various higher-order models to examine the influence of the gradient index and the plate aspect ratio on the global/local response of different sandwich FGM plates.

[1]  M. Koizumi.  THE CONCEPT OF FGM , 1993 .

[2]  J. Reddy.  Analysis of functionally graded plates , 2000 .

[3]  M. Ganapathi,et al.  FREE VIBRATION ANALYSIS OF MULTI-LAYERED COMPOSITE LAMINATES BASED ON AN ACCURATE HIGHER-ORDER THEORY , 2001 .

[4]  A. Zenkour.  A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration , 2005 .

[5]  E. Pan,et al.  Exact solution for functionally graded and layered magneto-electro-elastic plates , 2005 .

[6]  B. Sankar,et al.  Analysis of sandwich beams with functionally graded core , 2001 .

[7]  Erasmo Carrera,et al.  Radial basis functions-finite differences collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's zig-zag theory , 2011 .

[8]  N. Ganesan,et al.  Thermoelastic buckling and vibration behavior of a functionally graded sandwich beam with constrained viscoelastic core , 2006 .

[9]  Hui-Shen Shen,et al.  Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings , 2005 .

[10]  Hidenori Murakami,et al.  Laminated Composite Plate Theory With Improved In-Plane Responses , 1986 .

[11]  T. A. Anderson,et al.  A 3-D elasticity solution for a sandwich composite with functionally graded core subjected to transverse loading by a rigid sphere , 2003 .

[12]  António J.M. Ferreira,et al.  Analysis of Composite Plates Using a Layerwise Theory and Multiquadrics Discretization , 2005 .

[13]  S. Vel,et al.  Exact Solution for Thermoelastic Deformations of Functionally Graded Thick Rectangular Plates , 2002 .

[14]  V. P. Iu,et al.  Three-dimensional vibration analysis of functionally graded material sandwich plates , 2008 .

[15]  P Kerfriden,et al.  Linear free flexural vibration of cracked functionally graded plates in thermal environment , 2011 .

[16]  M. Ganapathi,et al.  Finite element analysis of functionally graded plates under transverse load , 2011 .

[17]  A. Zenkour.  A COMPREHENSIVE ANALYSIS OF FUNCTIONALLY GRADED SANDWICH PLATES: PART 1—DEFLECTION AND STRESSES , 2005 .

[18]  Rakesh K. Kapania,et al.  Free vibration analysis of laminated plates using a layerwise theory , 1993 .

[19]  B. P. Patel,et al.  Dynamic analysis of laminated composite plates subjected to thermal/mechanical loads using an accurate theory , 2001 .

[20]  Erdogan Madenci,et al.  A triangular plate element for thermo‐elastic analysis of sandwich panels with a functionally graded core , 2006 .

[21]  T. K. Varadan,et al.  A new theory for accurate thermal/mechanical flexural analysis of symmetric laminated plates , 1999 .