Hostname: page-component-84b7d79bbc-dwq4g Total loading time: 0 Render date: 2024-07-30T23:21:15.258Z Has data issue: false hasContentIssue false

Buckling of simply supported laminated plates on elastic foundations

Published online by Cambridge University Press:  04 July 2016

G. J. Turvey*
Affiliation:
Department of Engineering, University of Lancaster

Extract

The small deflection/initial buckling behaviour of elastic, homogeneous plates is characterised by the absence of coupling between in-plane and out-of-plane quantities, i.e. stress couples, shear strains etc. By contrast, heterogeneous plates, of which generally laminated plates are an example, exhibit ‘shell-type’ behaviour in as much as in-plane and out-of-plane quantities are coupled. Reissner and Stavsky were the first to correctly formulate the field equations for such plates. Since that time a large number of papers on the influence of coupling on the behaviour of many different types of laminated structural elements, such as beams, plates and shells have appeared in the literature. However, it appears that until quite recently, the analysis of these structural elements in the presence of a general (Winkler/Pasternak) elastic foundation has not been undertaken.

Type
Technical note
Copyright
Copyright © Royal Aeronautical Society 1976 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Reissner, E. and Stavsky, Y. Bending and stretching of certain types of heterogeneous aelotropic elastic plates. Journal of Applied Mechanics, Vol 28, No 3, 1961, pp 402408.Google Scholar
2. Turvey, G. J. Uniformly loaded, simply supported, antisymmetrically laminated, cross- and angle-ply strips on a Winkler/Pasternak foundation. The Aeronautical Journal, Vol 80, No 785, 1976, pp 222226.Google Scholar
3. Turvey, G. J. Uniformly loaded, simply supported, antisymmetrically laminated, rectangular plate on a Winkler/ Pasternak foundation. To be published in The International Journal of Solids and Structures. Google Scholar
4. Whitney, J. M. Cylindrical bending of unsymmetrically laminated plates. Journal of Composite Materials, Vol 3, No 10, 1969, pp 715719.Google Scholar
5. Whitney, J. M. Bending-extensional coupling in laminated plates under transverse loading. Journal of Composite Materials, Vol 3, No 1, 1969, pp 2028.Google Scholar
6. Jones, R. M. Buckling and vibration of unsymmetrically laminated cross-ply rectangular plates. AIAA Journal, Vol. 11, No 12, 1973, pp 16261632.Google Scholar
7. Jones, R. M., Morgan, H. S. and Whitney, J. M. Buckling and vibration of antisymmetrically laminated angle-ply rectangular plates. Journal of Applied Mechanics, Vol 40, No 4, 1973, pp 11431144.Google Scholar