Abstract
Laminated composite plates are fabricated of laminae (also called layers or plies), where each lamina consists of high-strength fibres (e.g. glass, boron, graphite) embedded in a surrounding matrix material (e.g. epoxy resin). The present work is limited to laminae wherein the fibres are assumed to be all parallel and continuous (i.e. long fibres). Thus each layer may be treated in a macroscopic sense as being a homogeneous, orthotropic material, for which the deformation behaviour is linearly elastic.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Leissa, A. W. and Ayoub, E. F. (1989) Tension buckling of rectangular sheets due to concentrated forces. ASCE Journal of Engineering Mechanics, 115, 2749–62.
Leissa, A. W. (1986) Conditions for laminated plates to remain flat under inplane loading. Composite Structures, 6 (4), 261–70.
Qatu, M. S. and Leissa, A. W. (1993) Buckling or transverse deflections of unsymmetrically laminated plates subjected to inplane loads. AIAA Journal, 31 (1), 189–94.
Ashton, J. E. and Whitney, J. M. (1970) Theory of Laminated Plates, Technomic, Stamford, CT.
Jones, R. M. (1975) Mechanics of Composite Materials, Scripta, Washington, DC.
Lekhnitskii, S. G. (1968) Anisotropic Plates, 2nd edn, translated from the Russian by S. W. Tsai and T. Cheron, Gordon and Breach, NY.
Leissa, A. W. (1985) Buckling of Laminated Composite Plates and Shell Panels. Air Force Flight Dynamics Lab, Report No. AFWAL-TR-85-3069. Wright-Patterson AFB, OH.
Reissner, E. and Stavsky, Y. (1961) Bending and stretching of certain types of heterogeneous aeolotropic elastic plates. Trans. ASME, Journal of Applied Mechanics, 9, 402–8.
Whitney, J. M. (1987) Structural Analysis of Laminated Composite Plates, Technomic Publishing, Lancaster, PA.
Leissa, A. W. (1973) Vibration of Shells, NASA SP-288, US Govt. Printing Office, Washington, DC.
Narita, Y. and Leissa, A. W. (1990) Buckling studies for simply supported symmetrically laminated rectangular plates. International Journal of Mechanical Sciences, 32 (11), 309–24.
Leissa, A. W. (1969) Vibration of Plates, NASA SP-160, US Govt. Printing Office, Washington, DC.
Timoshenko, S. P. and Goodier, J. N. (1970) Theory of Elasticity, 3rd edn. McGraw-Hill, NY.
Timoshenko, S. and Woinowsky-Krieger, S. (1959) Theory of Plates and Shells, 2nd edn. McGraw-Hill, NY.
Reissner, E. (1944) On the theory of bending of elastic plates. Journal of Mathematical Physics, 23, 184–91.
Reissner, E. (1945) The effect of transverse shear deformation on the bending of elastic plates. Trans. ASME, Journal of Applied Mechanics, 12, A69–A77.
Mindlin, R. D. (1951) Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Trans ASME, Journal of Applied Mechanics, 18, 31–8.
Ziegler, H. (1983) The influence of inplane deformations on the buckling loads of isotropic elastic plates. Ingenieur-Archiv, 53, 61–72.
Ambartsumyan, S. A. (1967) Theory of Anisotropic Plates, Scientific Publishing House, Moscow. (English translation by Technomic, Stamford, CT, 1970.)
Yang, P. C., Norris, C. H. and Stavsky, Y. (1966) Elastic wave propagation in heterogeneous plates. International Journal of Solids and Structures, 2, 665–84.
Whitney, J. M. and Pagano, N.J. (1970) Shear deformation in heterogeneous anisotropic plates. Journal of Applied Mechanics, 4, 1031–6.
Whitney, J. M. (1987) Curvature effects in the buckling of symmetrically-laminated rectangular plates with transverse shear deformation. Composite Structures, 8 (2), 85–103.
Chia, C. -Y. (1980) Nonlinear Analysis of Plates. McGraw-Hill, NY.
von Kármán, Th. (1910) Festigkeitsprobleme im Maschinenbau. Encyklopädie der Mathematischen Wissenschaften. 4, 311–85.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Leissa, A.W. (1995). Buckling and postbuckling theory for laminated composite plates. In: Turvey, G.J., Marshall, I.H. (eds) Buckling and Postbuckling of Composite Plates. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1228-4_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-1228-4_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4537-7
Online ISBN: 978-94-011-1228-4
eBook Packages: Springer Book Archive