Abstract
Unlike columns, rectangular plates with supported sides can carry significant loads beyond the initial buckling load, and this reserve strength often needs to be utilized in order to arrive at an efficient low-weight design. The behaviour after the onset of buckling cannot be captured using linear analysis as carried out earlier in Chap. 7, but requires the use of the moderately large deformation theory put forth in the last chapter. Such post-buckling analysis is the topic of this chapter.
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Notes
- 1.
See: S.P. Timoshenko, J.M. Gere, Theory of Elastic Stability, McGraw-Hill, 1963.
- 2.
K. Marguerre, The apparent width of the plate in compression, NASA TM No. 833, July 1937 (available online for open access).
- 3.
K. Marguerre, The apparent width of the plate in compression, NACA TM No. 833, 1937 (available online for open access).
- 4.
P.C. Hu, E.E. Lundquist, S.B. Batdorf, Effect of small deviations from flatness on effective width and buckling of plates in compression, NACA TN 1124, 1946 (available online for open access).
- 5.
T.H.G. Megson, Aircraft Structures for Engineering Students, 2007, Elsevier.
- 6.
C. Mittelstedt, K. Schroder, Post-buckling of compressively loaded imperfect composite plates: closed-form approximate solutions, International Jl. of Structural Stability and Dynamics, 10, 2010, 761–778.
- 7.
see, for example: T.V. Galambos, Guide to Stability Design Criteria for Metal Structures, Wiley, 1998.
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Bhaskar, K., Varadan, T.K. (2021). Post-buckling Behaviour. In: Plates. Springer, Cham. https://doi.org/10.1007/978-3-030-69424-1_15
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DOI: https://doi.org/10.1007/978-3-030-69424-1_15
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