Hostname: page-component-84b7d79bbc-c654p Total loading time: 0 Render date: 2024-07-30T20:56:33.179Z Has data issue: false hasContentIssue false
  • English
  • Français

The Large Deflection and Post-Buckling Behaviour of Some Laminated Plates

Published online by Cambridge University Press:  07 June 2016

G J Turvey  and
W H Wittrick
G J Turvey
Affiliation:
Department of Civil Engineering, University of Birmingham
W H Wittrick
Affiliation:
Department of Civil Engineering, University of Birmingham
Get access

Summary

The Dynamic Relaxation (DR) method is applied to the solution of geometrically non-linear, elastic, laminated plate, flexural and stability problems. Two categories of plate are considered, namely, those that are symmetrically and unsymmetrically laminated with respect to the plate middle surface. Whereas the former category exhibits a bending – twisting coupling phenomenon, the latter exhibits an extensional – flexural type of coupling. The effects of these coupling phenomena are evaluated by comparing the plate responses with those of corresponding homogeneous, specially orthotropic plates. With the exception of uniaxially compressed plates of the latter category in the post-buckling regime, it is found that for both flexural and stability problems the coupling phenomena cause a reduction in stiffness and the extent of this reduction is dependent on the lay-up of the laminate.

Type
Research Article
Information
Aeronautical Quarterly , Volume 24 , Issue 2 , May 1973 , pp. 77 - 86
Copyright
Copyright © Royal Aeronautical Society. 1973

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. Smith, C B Some new types of orthotropic plates laminated of orthotropic material. Journal of Applied Mechanics, Vol 20, p 286, 1953.Google Scholar
2. Lekhnitskii, S G Anisotropie Plates. Gordon and Breach, London, 1968.Google Scholar
3. Reissner, E Stavsky, Y Bending and stretching of certain types of heterogeneous aeolotropic elastic plates. Journal of Applied Mechanics, Vol 28, p 402, 1961.Google Scholar
4. Whitney, J M Leissa, A W Analysis of heterogeneous anisotropie plates. Journal of Applied Mechanics, Vol 36, p 261, 1969.CrossRefGoogle Scholar
5. Whitney, J M Leissa, A W Analysis of a simply supported laminated anisotropic rectangular plate. AIAA Journal, Vol 8, p 28, 1970.Google Scholar
6. Whitney, J M Bending – extensional coupling in laminated plates under transverse loading. Journal of Composite Materials, Vol 3, p 20, 1969.Google Scholar
7. Whitney, J M Shear buckling of unsymmetrical cross-ply plates. Journal of Composite Materials, Vol 3, p 359, 1969.CrossRefGoogle Scholar
8. Whitney, J M The effect of boundary conditions on the response of laminated composites. Journal of Composite Materials, Vol 14, p 192, 1970.Google Scholar
9. Kicher, T P The analysis of unbalanced cross-plied elliptic plates under uniform pressure. Journal of Composite Materials, Vol 3, p 424, 1969.Google Scholar
10. Pryor, C W Barker, R M Finite element analysis of bending – extensional coupling in laminated composites. Journal of Composite Materials, Vol 4, p 549, 1970.Google Scholar
11. Green, A E Hearmon, R F S The buckling of flat rectangular plywood plates. Philosophical Magazine, Series 7, Vol 36, p 659, 1945.Google Scholar
12. Thielmann, W Contribution to the problem of buckling of orthotropic plates with special reference to plywood. NACA TM 1263, 1950.Google Scholar
13. Wittrick, W H Rationalization of anisotropic buckling problems. In Contributions to the Theory of Aircraft Structures (Van der Neut anniversary volume), Delft University Press, 1972.Google Scholar
14. Ashton, J E Waddoups, M E Analysis of anisotropie plates, I. Journal of Composite Materials, Vol 3, p 148, 1969.CrossRefGoogle Scholar
15. Ashton, J E Analysis of anisotropie plates, H. Journal of Composite Materials, Vol 3, p 470, 1969.Google Scholar
16. Ashton, J E Anisotropic plate analysis – Boundary conditions. Journal of Composite Materials, Vol 4, p 162, 1970.Google Scholar
17. Ashton, J E Love, T S Experimental study of the stability of composite plates. Journal of Composite Materials, Vol 3, p 230, 1969.Google Scholar
18. Chamis, C C Buckling of anisotropie composite plates. Journal of the Structural Division, American Society of Civil Engineers, Vol 95, p 2119, 1969.Google Scholar
19. Fraser, H R Miller, R E Bifurcation type buckling of generally orthotropic clamped plates. AIAA Journal, Vol 8, p 707, 1970.Google Scholar
20. Ashton, J E An analogy for certain anisotropic plates. Journal of Composite Materials, Vol 3, p 355, 1969.Google Scholar
21. Ashton, J E Approximate solutions for unsymmetrically laminated plates. Journal of Composite Materials, Vol 3, p 189, 1969.CrossRefGoogle Scholar
22. Pao, Y C Simple bending analysis of laminated plates by large deflection theory. Journal of Composite Materials, Vol 4, p 380, 1970.Google Scholar
23. Schmit, L A Montforton, G R Finite deflection discrete element analysis of sandwich plates and cylindrical shells with laminated faces. AIAA Journal, Vol 8, p 1454, 1970.Google Scholar
24. Otter, J R H Cassell, A C Hobbs, R E Dynamic relaxation. Proceedings of the Institution of Civil Engineers, Vol 35, p 633, 1966.Google Scholar
25. Rushton, K R Large deflection of variable thickness plates. International Journal of Mechanical Sciences, Vol 10, p 723, 1968.Google Scholar
26. Rushton, K R Post-buckling of rectangular plates with various boundary conditions. Aeronautical Quarterly, Vol 21, p 163, 1970.CrossRefGoogle Scholar
27. Rushton, K R Large deflection of plates with initial curvature. International Journal of Mechanical Sciences, Vol 12, p 1037, 1970.Google Scholar
28. Turvey, G J A contribution to the elastic stability of thin-walled structures fabricated from isotropic and orthotropic materials. PhD Thesis, Department of Civil Engineering, University of Birmingham, 1971.Google Scholar
29. Hearmon, R F S An Introduction to Applied Anisotropie Elasticity. Oxford University Press, 1961.Google Scholar