Three‐Dimensional Solutions for Thermal Buckling of Multilayered Anisotropic Plates
Publication: Journal of Engineering Mechanics
Volume 118, Issue 4
Abstract
Analytic three‐dimensional elasticity solutions are presented for the thermal buckling problem of multilayered anisotropic plates. The plates are assumed to have rectangular geometry and an antisymmetric lamination with respect to the middle plane. The temperature is assumed to be independent of the surface coordinates, but it has an arbitrary symmetric variation through the thickness of the plate. No external loads are present, but the motion of the plate is partially restrained in its plane. A mixed formulation is used, with the fundamental unknowns consisting of the six stress components and the three displacement components of the plate. The prebuckling deformations are taken into account. Each of the plate variables is decomposed into symmetric and antisymmetric components in the thickness direction, and is expressed in terms of a double Fourier series in the Cartesian surface coordinates. Extensive numerical results are presented showing the effects of the prebuckling deformation on the critical temperature, as well as the effects of variation in the lamination and geometric parameters of composite plates on the importance of the transverse stress and strain components.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bert, C. W., and Chen, T. L. C. (1978). “Effect of shear deformation on vibration of antisymmetric angle‐ply laminated rectangular plates.” Int. J. Solids Struct., 14(6), 465–473.
2.
Guz, A. N. (1971). Stability of three‐dimensional deformable bodies. Naukova Dumka, Kiev, U.S.S.R. (in Russian).
3.
Hearmon, R. F. S. (1961). An introduction to applied anisotropic elasticity. Oxford University Press, London, U.K.
4.
Lekhnitskii, S. G. (1981). Theory of elasticity of an anisotropic body. Mir Publishers, Moscow, U.S.S.R.
5.
Noor, A. K., and Burton, W. S. (1990). “Three‐dimensional solutions for antisymmetrically laminated anisotropic plates.” J. Appl. Mech., 57(1), 182–188.
6.
Noor, A. K., and Burton, W. S. (1991). “Predictor‐corrector procedures for thermal buckling of multilayered composite plates.” Comput. Struct., 40(5), 1071–1084.
7.
Noor, A. K., and Camin, R. A. (1976). “Symmetry considerations for anisotropic shells.” Comput. Methods Appl. Mech. Eng., 9(3), 317–335.
8.
Noor, A. K., Mathers, M. D., and Anderson, M. S. (1977). “Exploiting symmetries for efficient postbuckling analysis of composite plates.” AIAA J., 15(1), 24–32.
9.
Padovan, J. (1986). “Anisotropic thermal stress analysis.” Thermal Stresses, I, R. B. Hetnarski, ed., Elsevier Science Publishers, Amsterdam, the Netherlands, 143–262.
10.
Srinivas, S. (1973). “A refined analysis of composite laminates.” J. Sound Vib, 30(4), 495–507.
11.
Srinivas, S., and Rao, A. K. (1970). “Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates.” Int. J. Solids Struct., 6(11), 1464–1481.
12.
Stavsky, Y. (1975). “Thermoelastic stability of laminated orthotropic circular plates.” Acta Mechanica, 22(1–2), 31–51.
13.
Sun, L. X., and Hsu, T. R. (1990). “Thermal buckling of laminated composite plates with transverse shear deformation.” Comput. Struct, 36(5), 883–889.
14.
Tauchert, T. R. (1987). “Thermal buckling of thick antisymmetric angle‐ply laminates.” J. Thermal Stresses, 10(2), 113–124.
15.
Tauchert, T. R., and Huang, N. N. (1987). “Thermal buckling of symmetric angle‐ply laminated plates.” Composite Structures, Proc. Fourth Int. Conf. Composite Structures, 4, I. N. Marshall, ed., Elsevier, Amsterdam, the Netherlands, 1.424–1.435.
16.
Thangaratnam, R. K., Palaninathan, R., and Ramachandran, J. (1989). “Thermal buckling of composite laminated plates.” Comput. Struct, 32(5), 1117–1124.
17.
Yang, I.‐H., and Shieh, J.‐A. (1988). “Generic thermal buckling of initially stressed antisymmetric cross‐ply thick laminates.” Int. J. Solids Struct, 24(10), 1059–1070.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 4 • April 1992
Pages: 683 - 701
Copyright
Copyright © 1992 ASCE.
History
Published online: Apr 1, 1992
Published in print: Apr 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.