This paper presents thermal buckling and post-buckling analyses for moderately thick laminated rectangular plates that contain functionally graded materials (FGMs) and subjected to a uniform temperature change. The theoretical formulation employs the first-order shear deformation theory and accounts for the effect of temperature-dependent thermoelastic properties of the constituent materials and initial geometric imperfection. The principle of minimum total potential energy, the differential quadrature method, and iterative algorithms are used to obtain critical buckling temperatures and the post-buckling temperature-deflection curves. The results are presented for both symmetrically and unsymmetrically laminated plates with ceramic/metal functionally graded layers, showing the effects of temperature-dependent properties, layup scheme, material composition, initial imperfection, geometric parameters, and boundary conditions on buckling temperature and thermal post-buckling behavior.
Issue Section:
Technical Papers
1.
Tauchert
, T. R.
, 1991
, “Thermally Induced Flexure, Buckling, and Vibration of Plates
,” Appl. Mech. Rev.
, 44
(8–9), pp. 347
–360
.2.
Noor
, A. K.
, and Burton
, W. S.
, 1992
, “Computational Models for High Temperature Multilayered Plates and Shells
,” Appl. Mech. Rev.
, 45
(10
), pp. 419
–446
.3.
Argyris
, J.
, and Tenek
, L.
, 1997
, “Recent Advances in Computational Thermostructural Analysis of Composite Plates and Shells With Strong Nonlinearity
,” Appl. Mech. Rev.
, 50
(5
), pp. 285
–307
.4.
Chen
, L. W.
, and Chen
, L. Y.
, 1989
, “Thermal Buckling Behaviors of Laminated Composite Plates With Temperature-Dependent Properties
,” Compos. Struct.
, 13
(4
), pp. 275
–287
.5.
Chen
, L. W.
, and Chen
, L. Y.
, 1991
, “Thermal Post-Buckling Behaviors of Laminated Composite Plates With Temperature-Dependent Properties
,” Compos. Struct.
, 19
(3
), pp. 267
–283
.6.
Singha
, M. K.
, Ramachandra
, L. S.
, and Bandyopadhyay
, J. N.
, 2001
, “Thermal Post-Buckling Analysis of Laminated Composite Plates
,” Compos. Struct.
, 54
(4
), pp. 453
–458
.7.
Argyris
, J.
, and Tenek
, L.
, 1995
, “Post-Buckling of Composite Laminates Under Compressive Loads and Temperature
,” Comput. Methods Appl. Mech. Eng.
, 128
(1–2), pp. 49
–80
.8.
Srikanth
, G.
, and Kumar
, A.
, 2003
, “Post-Buckling Response and Failure of Symmetric Laminates Under Uniform Temperature Rise
,” Compos. Struct.
, 59
(1
), pp. 109
–118
.9.
Shen
, H. S.
, 2001
, “Thermal Post-Buckling Behavior of Imperfect Shear Deformable Laminated Plates With Temperature-Dependent Properties
,” Comput. Methods Appl. Mech. Eng.
, 190
(40–41), pp. 5377
–5390
.10.
Shahsiah
, R.
, and Eslami
, M. R.
, 2003
, “Thermal Buckling of Functionally Graded Cylindrical Shells
,” J. Therm. Stresses
, 26
(3
), pp. 277
–294
.11.
Shahsiah
, R.
, and Eslami
, M. R.
, 2003
, “Functionally Graded Cylindrical Shell Thermal Instability Based on Improved Donnell Equations
,” AIAA J.
, 41
(9
), pp. 1819
–1826
.12.
Shen
, H. S.
, 2002
, “Postbuckling Analysis of Axially Loaded Functionally Graded Cylindrical Shells in Thermal Environments
,” Compos. Sci. Technol.
, 62
(7–8), pp. 977
–987
.13.
Shen
, H. S.
, 2003
, “Postbuckling Analysis of Pressure-Loaded Functionally Graded Cylindrical Shells in Thermal Environments
,” Eng. Struct.
, 25
(4
), pp. 487
–497
.14.
Shen
, H. S.
, 2002
, “Postbuckling Analysis of Axially Loaded Functionally Graded Cylindrical Panels in Thermal Environments
,” Int. J. Solids Struct.
, 39
(24
), pp. 5991
–6010
.15.
Shen
, H. S.
, and Leung
, A. Y. T.
, 2003
, “Postbuckling of Pressure-Loaded Functionally Graded Cylindrical Panels in Thermal Environments
,” J. Eng. Mech.
, 129
(4
), pp. 414
–425
.16.
Javaheri
, R.
, and Eslami
, M. R.
, 2002
, “Buckling of Functionally Graded Plates Under In-Plane Compressive Loading
,” Z. Angew. Math. Mech.
, 82
(4
), pp. 277
–283
.17.
Najafizadeh
, M. M.
, and Eslami
, M. R.
, 2002
, “Buckling Analysis of Circular Plates of Functionally Graded Materials Under Uniform Radial Compression
,” Int. J. Mech. Sci.
, 44
(12
), pp. 2479
–2493
.18.
Javaheri
, R.
, and Eslami
, M. R.
, 2002
, “Thermal Buckling of Functionally Graded Plates
,” AIAA J.
, 40
(1
), pp. 162
–169
.19.
Javaheri
, R.
, and Eslami
, M. R.
, 2002
, “Thermal Buckling of Functionally Graded Plates Based on Higher Order Theory
,” J. Therm. Stresses
, 25
(7
), pp. 603
–625
.20.
Najafizadeh
, M. M.
, and Eslami
, M. R.
, 2002
, “First-Order-Theory-Based Thermoelastic Stability of Functionally Graded Material Circular Plates
,” AIAA J.
, 40
(7
), pp. 1444
–1450
.21.
Qatu
, M. S.
, and Leissa
, A. W.
, 1993
, “Buckling or Transverse Deflections of Unsymmetrically Laminated Plates Subjected to In-Plane Loads
,” AIAA J.
, 31
(1
), pp. 189
–194
.22.
Yang
, J.
, and Shen
, H. S.
, 2003
, “Non-Linear Analysis of Functionally Graded Plates Under Transverse and In-Plane Loads
,” Int. J. Non-Linear Mech.
, 38
(4
), pp. 467
–482
.23.
Liew
, K. M.
, Yang
, J.
, and Kitipornchai
, S.
, 2003
, “Post-Buckling of Piezoelectric FGM Plates Subjected to Thermo-Electro-Mechanical Loading
,” Int. J. Solids Struct.
, 40
(15
), pp. 881
–896
.24.
Jang
, S. K.
, Bert
, C. W.
, and Striz
, A. G.
, 1989
, “Application of Differential Quadrature to Static Analysis of Structural Components
,” Int. J. Numer. Methods Eng.
, 28
(3
), pp. 561
–577
.25.
Liew
, K. M.
, Ng
, T. Y.
, and Zhang
, J. Z.
, 2002
, “Differential Quadrature-Layerwise Modeling Technique for Three-Dimensional Analysis of Cross-ply Laminated Plates of Various Edge-Supports
,” Comput. Methods Appl. Mech. Eng.
, 191
(35
), pp. 3811
–3832
.26.
Touloukian, Y. S., 1967, Thermophysical Properties of High Temperature Solid Materials, McMilan, New York.
27.
Gauthier, M. M. (ed) 1995, Engineering Materials Handbook-Desk Edition, ASM International, USA.
28.
Noor
, A. K.
, and Burton
, W. S.
, 1992
, “Three-Dimensional Solutions for Thermal Buckling of Multilayered Anisotropic Plates
,” J. Eng. Mech.
, 118
(4
), pp. 683
–701
.29.
Shen
, H. S.
, 1998
, “Thermal Postbuckling Analysis of Imperfect Reissner-Mindlin Plates on Softening Nonlinear Elastic Foundations
,” J. Eng. Math.
, 33
(3
), pp. 259
–270
.Copyright © 2004
by ASME
You do not currently have access to this content.
