REFINED THEORY FOR THERMOELASTIC STABILITY OF FUNCTIONALLY GRADED CIRCULAR PLATES

Axisymmetric thermal and mechanical buckling of functionally graded circular plates is considered. Equilibrium and stability equations under thermal and mechanical loads are derived based on first-order shear deformation plate theory. Assuming that the material properties vary as a power form of the thickness coordinate variable z and using the variational method, the system of fundamental ordinary differential equations is established. Buckling analysis of a functionally graded plate under uniform temperature rise, linear and nonlinear gradient through the thickness, and uniform radial compression are considered, and the critical buckling loads are derived for clamped edge plates. The results are compared with the buckling loads obtained for a functionally graded plate based on the classical plate theory given in the literature.

[1]  M. Eslami,et al.  THERMOELASTIC STABILITY OF ORTHOTROPIC CIRCULAR PLATES , 2002 .

[2]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[3]  J. Hutchinson,et al.  Buckling of Bars, Plates and Shells , 1975 .

[4]  J. N. Reddy,et al.  Theory and analysis of elastic plates , 1999 .

[5]  M. R. Eslami,et al.  FIRST-ORDER-THEORY-BASED THERMOELASTIC STABILITY OF FUNCTIONALLY GRADED MATERIAL CIRCULAR PLATES , 2002 .

[6]  Y. Stavsky,et al.  Refined theory for vibrations and buckling of laminated isotropic annular plates , 1996 .

[7]  J. Reddy.  Mechanics of laminated composite plates : theory and analysis , 1997 .

[8]  J. N. Reddy,et al.  Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates , 1998 .

[9]  Yasuyoshi Fukui,et al.  Fundamental Investigation of Functionally Gradient Material Manufacturing System using Centrifugal Force , 1991 .

[10]  M. R. Eslami,et al.  THERMAL BUCKLING OF FUNCTIONALLY GRADED PLATES BASED ON HIGHER ORDER THEORY , 2002 .

[11]  M. R. Eslami,et al.  BUCKLING ANALYSIS OF CIRCULAR PLATES OF FUNCTIONALLY GRADED MATERIALS UNDER UNIFORM RADIAL COMPRESSION , 2002 .

[12]  Tiejun Wang,et al.  Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings , 2003 .

[13]  J. N. Reddy,et al.  Three-dimensional thermomechanical deformations of functionally graded rectangular plates , 2001 .

[14]  C. Wang,et al.  Axisymmetric bending of functionally graded circular and annular plates , 1999 .

[15]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[16]  M. Koizumi.  FGM activities in Japan , 1997 .

[17]  N. Noda,et al.  Analysis of thermal stress in a plate of functionally gradient material , 1995 .

[18]  Buckling of Simply Supported Plates Under Arbitrary Symmetrical Temperature Distributions , 1958 .