Thermal Buckling of Simply Supported FGM Square Plates

Article Preview

Abstract:

Thermal buckling behaviour of FGM square plates with simply supported edges has been studied in this note using the classic plate theory (CPT). It is assumed that the nonhomogeneous mechanical properties of the plate, graded through thickness, are described by a power-law FGM (simply called P-FGM) and sigmoid FGM (S-FGM). The plate is assumed to uniform temperature rise. Resulting equations are employed to obtain the closed-form solutions for the critical buckling temperature change of FGM. The results are compared with the results of the first order shear deformation theory.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

25-32

Citation:

Online since:

June 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Suresh, S., Mortensen, A,. Fundamentals of Functionally Graded Materials. Barnes and Noble, New York, (1998).

Google Scholar

[2] Yamanouchi, A., Koizumi, M.,. Functionally gradient materials. In: Proceeding of the First International Symposium in Japan, (1990).

Google Scholar

[3] Fukui, Y,. Fundamental investigation of functionally gradient material manufacturing system using centrifugal force. Int. J. Jpn Soc. Mech. Eng. 3 (34), 144–148, (1991).

DOI: 10.1299/jsmec1988.34.144

Google Scholar

[4] Reddy, J.N., Cheng, Z. Q,. Three dimensional trenchant deformations of functionally graded rectangular plates. Eur. J. Mech. A Solids 20, (2001).

DOI: 10.1016/s0997-7538(01)01174-3

Google Scholar

[5] Fuchiyama, T., Noda, N., Tsuji, T., Obata, Y,. Analysis of thermal stress and stress intensity factor of functionally gradient materials. Ceramic. Trans. Funct. Gradient Mater. 34, 425–432. 841–855, (1993).

Google Scholar

[6] Nan, C.W., Yuan, R.Z., Zhang, L. M,. The physics of metal/ceramic functionally gradient materials. Ceramic. Trans. Funct. Gradient Mater. 34, 75–82, (1993).

Google Scholar

[7] Koizumi, M.,. FGM activities in Japan. Composites Part B 28 (1–2), 1–40, (1997).

Google Scholar

[8] Brush, D.O., Almroth, B. O,. Buckling of Bars, Plates and Shells. McGraw-Hill, New York, (1975).

Google Scholar

[9] Leissa, A.W.,. Review of recent developments in laminated composite plate buckling analysis. Composite Mat. Tech. 45, 1–7, (1992).

Google Scholar

[10] Leissa AW. Vibration of plates. NASA, SP-160, (1969).

Google Scholar

[11] Birman, V., Bert, C. W, . Buckling of composite plate and shells subject to elevated temperature. Trans. ASME J. Appl. 60, 514–519, (1993).

DOI: 10.1115/1.2900823

Google Scholar

[12] Pandey, M.D., Sherbourne, A. N,. Buckling of anisotropic composite plates under stress gradient. J. Engrg. Mech. 117 (2), 260–275, (1991).

DOI: 10.1061/(asce)0733-9399(1991)117:2(260)

Google Scholar

[13] Markworth AJ, Ramesh KS, Parks Jr WP. Modeling studies applied to functionally graded materials. J Mater Sci (1995); 30: 2183–93.

DOI: 10.1007/bf01184560

Google Scholar

[14] Huang X-L, Shen H-S. Nonlinear vibration and dynamic response of functionally graded plates in thermal environment. International Journal of Solids and Structures (2004); 41: 2403–27.

DOI: 10.1016/j.ijsolstr.2003.11.012

Google Scholar

[15] Bouazza. M, Tounsi. A, Adda-Bedia.E. A, Megueni. A,. Thermal buckling of sigmoid functionally graded plates using first order shear deformation theory. MAMERN09: 3rd International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources Pau (France), June 8-11, (2009).

DOI: 10.4028/www.scientific.net/amm.61.25

Google Scholar

[16] R. M. S. Gowda and K. A. V. Padalai, Thermal buckling of orthotropic plates. In Studies in Structural Mechanics (Edited by K. A. V. Padalai), pp.9-44. IIT, Madras (1970).

Google Scholar

[17] Kari R. Thangaratnam, Palaninathan and j. Ramachandran, Thermal buckling of composite laminated plates. Computers & Structures vol. 32, no. 5. pp.1117-1124, (1989) Rimed in Great Britain.

DOI: 10.1016/0045-7949(89)90413-6

Google Scholar