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Received: 2001-12-26

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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.1 P.1~7


Three-dimensional analysis of a thick FGM rectangular plate in thermal environment

Author(s):  CHEN Wei-qiu, BIAN Zu-guang, DING Hao-jiang

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   chenwq@ccea.zju.edu.cn

Key Words:  Functionally graded material (FGM), State-space method, Simply supported rectangular plate

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CHEN Wei-qiu, BIAN Zu-guang, DING Hao-jiang. Three-dimensional analysis of a thick FGM rectangular plate in thermal environment[J]. Journal of Zhejiang University Science A, 2003, 4(1): 1~7.

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A1 - CHEN Wei-qiu
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The thermal behavior of a thick transversely isotropic FGM rectangular plate was investigated within the scope of three-dimensional elasticity. Noticing many FGMs may have temperature-dependent properties, the material constants were further considered as functions of temperature. A solution method based on state-space formulations with a laminate approximate model was proposed. For a thin plate, the method was clarified by comparison with the thin plate theory. The influences of material inhomogeneity and temperature-dependent characteristics were finally discussed through numerical examples.

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[1]Bellman, R., 1970. Introduction to Matrix Analysis. McGraw-Hill, New York.

[2]Chen, W. Q., Ye, G. R., Cai, J. B. and Ding, H. J., 2001. Free vibration of transversely isotropic FGM rectangular plates. Journal of Vibration Engineering, 14(3): 263-267 (in Chinese).

[3]Chen, W. Q., Ye, G. R. and Cai, J. B., 2002. Thermoelastic stresses in a uniformly heated functionally graded isotropic hollow cylinder. Journal of Zhejiang University SCIENCE, 3(1):1-5.

[4]Ding, H. J., Zhang, L. C. and Chen, W. Q., 2002. Elasticity of Transversely Isotropic Materials. Trans Tech Publication, Zuerich.

[5]Fan, J. R., 1996. Exact Theory of Strongly Thick Laminated Plates and Shells. Science Press, Beijing (in Chinese).

[6]Loy, C. T., Lam, K. Y. and Reddy, J.N., 1999. Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences, 41(3):309-324.

[7]Reddy, J. N., 1997. Mechanics of Laminated Composite Plates, Theory and Analysis. CRC Press, Boca Raton.

[8]Reddy, J. N., 1999. Theory and Analysis of Elastic Plates. Taylor & Francis, Philadelphia.

[9]Reddy, J. N. and Chin, K., 1998. Thermomechanical behavior of functionally graded cylinders and plates. Journal of Thermal Stresses, 21(3): 593-626.

[10]Reddy, J. N., Wang, C. M. and Kitipornchai, S., 1999. Axisymmetric bending of functionally graded circular and annular plates. European Journal of Mechanics A/Solids, 18(2): 185-199.

[11]Timoshenko, S. P. and Woinowsky-Krieger, S., 1959. Theory of Plates and Shells. McGraw-Hill, New York.

[12]Touloukian, Y. S., 1967. Thermophysical Properties of High Temperature Solid Materials. McMillan, New York.

[13]Wu, C. H. and Tauchert, T. R., 1980. Thermoelastic analysis of laminated plates I: symmetric specially orthotropic laminates. Journal of Thermal Stresses, 3(2): 247-259.

[14]Xu, F., Xu, X. M. and Wang, Y. C., 1998. Research for the thermoelastic response of thick orthotropic laminates. Chinese Journal of Computational Mechanics, 15(3): 306-315 (in Chinese).

[15]Xu, Y., J. and Zhao, Z. G., 2001. Transient thermal bending analysis of thin plates of functionally gradient material by finite element method. Engineering Mechanics, 18(1): 71-81 (in Chinese).

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