Unbalanced cross-plied laminated plates with bending-membrane coupling are analyzed for the case of an elliptic planform under uniform pressure. Closed form solutions are presented for two cases of mem brane boundary conditions with the bending boundary conditions assumed to be clamped. Comparisons between various approximations and membrane boundary conditions are made for composite plates of glass, Thornel and boron fibers in epoxy matricies. Circular plates are treated as a special case of elliptic plates.
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References
1.
J.M. Whitney , "Bending-Extensional Coupling in Laminated Plates under Transverse Loading,"J. Composite Materials , Vol. 3 (1969) p. 2.
2.
S.P. Timoshenko, and S. Woinowsky-KreigerTheory of Plates and Shells, Second Edition, McGraw-Hill (1959), pp. 376-377.
3.
S.G. Lekhnitskii, Anisotropic Plates, 2nd. Ed., Translated by S. W. Tsai, and T. Cheron, Gordon and Breach (1968).
4.
Y. Ohasi, "Bending of a Thin Elliptic Plate of an Orthotropic Material Under Uniform Lateral Load,"ZAMP, Vol. 3 (1952) p. 212.
5.
E. Reissner and Y. Stavsky, "Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates" J. Applied Mechanics Vol. 28 ( 1961) p. 402.
6.
J.E. Ashton , "Approximate Solutions for Unsymmetrically Laminated Plates,"J. Composite Materials , Vol. 3 (1969) p. 189.
7.
C.C. Chamis, "Buckling of Anisotropic Composite Plates," To be published by ASCE, Structures Division.
8.
J.F. Mandell, "An Experimental Investigation of the Buckling of Anisotropic Fiber Reinforced Plastic Plates," Technical Report, AFML-TR-68-281, Air Force Material Laboratory October, 1968.
