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Verification of The Thermal Buckling Load in Plates Made of Functional Graded Material
Hamid Mozafari, Amran Alias, Amran Ayob
Pages - 338 - 356     |    Revised - 30-11-2010     |    Published - 20-12-2010
Volume - 4   Issue - 5    |    Publication Date - December 2010  Table of Contents
Thermal buckling, FGM plates, Thin plate, Higher order plate theories, Variable thickness plate
In this research, thermal buckling of thin plate made of Functionally Graded Materials (FGM) with linear varying thickness is considered. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The supporting condition of all edges of such a plate is simply supported the equilibrium and stability equations of a FGM plate under thermal loads derived based on higher order plate theories via variation formulation, and are used to determine the pre-buckling forces and the governing deferential equation of the plate the buckling analysis of a functionally graded plate is conducted using; the uniform temperature rise, having temperature gradient through the thickness, and linear temperature variation in the thickness and closed–form solutions are obtained. The buckling load is defined in a weighted residual approach. In a special case the obtained results are compared by the results of functionally graded plates with uniform thickness. The influences of the plate thickness variation and the edge ratio on the critical loads are investigated. Finally, different plots indicating the variation of buckling loads. Different gradient exponent k, different geometries and loading conditions were obtained.
CITED BY (1)  
1 Chen, S. F. (2014). The Buckling Analysis of Functionally Graded Material Plates in temperature environment.
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1 Brush DO, Almroth BO. Bucking of Bars, Plates and Shells. New York: McGraw-Hill, 1975
2 Timoshenko S, Woinowsky-Krieger S. Theory of plates and shells (second ed). New York: McGraw-Hill, 1959.
3 Zheng XJ. The theory and application for large deflection of Circular plate. Ji-Lin Science Technology press. Chinese: Chang-Chun, 1990.
4 Yamanouchi M, Koizumi M, Shiota I. Proceedings of the First International Symposiumon Functionally Gradient Materials. Japan, 1990; 273-281.
5 Koizumi M. The concept of FGM, Ceram:Trans., Funct. Grad Mater 1993;34:3-10.
6 Abrate S. Functionally graded material behave like homogeneous plates. Composites Part B: Engineering 2008;39(1):151–158.
7 Chen CS, Chen TJ, Chien RD. Nonlinear vibration analysis of an initially stressed functionally graded plate. Thin-Walled Structures 2006;44(8):844–851.
8 Chen CS, Tan AH. Imperfection sensitivity in the nonlinear vibration of initially stresses functionally graded plates. Composite Structures 2007;78(4):529–536.
9 Chi SH, Chung YL. Mechanical behavior of functionally graded material under transverse load. International Journal of Solids and Structures 2006;43(13):3657–3674.
10 Chi SH, Chung YL. Mechanical behavior of functionally graded material. International Journal of Solids and Structures 2006;43(13):3675–3691.
11 Ghannadpour SAM, Alinia MM. Large deflection behavior of functionally graded plates under pressure loads. Composite Structures 2006;75(1–4):67–71.
12 Hsieh JJ, Lee LT. An inverse problem for a functionally graded elliptical. International Journal of Solids and Structures 2006;43(20):5981–5993.
13 Huang CS, Chang MJ. Corner stress singularities in an FGM thin plate. International Journal of Solids and Structures 2007;44(9):2802–2819.
14 Najafizadeh MM, Eslami MR. Thermoelastic stability of circular plates composed of functionally graded materials under uniform radial compression. International Journal of Mechanical Sciences 2002;44(12):2479–93.
15 Navazi HM, Haddadpour H, Rasekh M. An analytical solution for nonlinear cylindrical bending of functionally graded plates. Thin-Walled Structures 2006;44(11):1129–1137.
16 Shariat BAS, Eslami MR. Thermal buckling of imperfect functionally graded plates. International Journal of Solids and Structures 2006;43(14–15):4082–4096.
17 Sundararajan N, Prakash T, Ganapathi M. Influence on functionally graded material on buckling of skew plates under mechanical loads. Finite elements in analysis and design 2005;42(2):152–168
18 Woo J, Meguid SA, Ong LS. Nonlinear free vibration behavior of functionally graded plates. Journal of Sound and Vibration 2006;289(3):595–611.
19 Morimoto T, Tanigawa Y, Kawamura R. Thermal buckling analysis of in homogeneous rectangular plate. International Journal of Mechanical Sciences 2006;48(9):926–937
20 Li SR, Zhang JH, Zhao YG. A theoretical analysis of FGM thin plates. Thin-Walled Structures 2007;45(5):528–536.
21 Wu L. Thermal buckling of a simply supported moderately thick rectangular FGM plate. Composite Structures 2004;64:21–8.
22 Chen XL, Liew KM. Buckling of rectangular functionally graded material plates subjected to nonlinearly distributed in-plane edge loads. Smart Materials and Structures 2004;13:1430–7.
23 Yamanouchi M., Koizumi M, Shiota I. in: Proc. First Int. Symp.Functionally Gradient Materials, Sendai, Japan 1990.
24 Fukui Y. Fundamental investigation of functionally gradient material manufacturing system using centrifugal force. Int. J. Japanese Soci. Mech. Eng. 1991;3:144-148.
25 Koizumi M. FGM Activites in Japan, Composite: 1997;28(1):1-4.
26 Praveen GN, Reddy J N. Nonlinear transient thermo elastic analysis of functionally graded ceramic metal plates. International Journal of Solids and Structures 1998;35:4457-4476.
27 Shariat BAS, Eslami MR. Buckling of thick functionally graded plates under mechanical and thermal load. Compos Struct 2007;78(3):433-439
28 Javaheri R, Eslami MR. Buckling of functionally graded plates under in-plane compressive loading. ZAMM 2002;82(4):277-283.
Dr. Hamid Mozafari
Technical University of Malaysia - Malaysia
Mr. Amran Alias
- Malaysia
Mr. Amran Ayob
- Malaysia