Engineering Transactions, 25, 4, pp. 559-570, 1977

Nonlinear Bending of Symmetrically Laminated and Homogeneous Anisotropic Plates

M.K. Prabhakara
Department of Civil Engineering, University of Calgary, Alberta, Calgary

C.Y. Chia
Department of Civil Engineering, University of Calgary, Alberta, Calgary

A large deflection analysis of symmetrically laminated anisotropic rectangular plates under transverse load is presented with homogeneous anisotropic plates treated as a special case. Solutions to the von Kármán-type large deflection equations expressed in terms of transverse deflection and force function are formulated in the form of double series for clamped and simply supported plates respectively. Numerical results are graphically presented for symmetric angle-ply and homogeneous graphite-epoxy square plates. In the case of small deflections the present results are in good agreement with the existing solutions.

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A. E. GREEN and R. F. HEARMON, The buckling of flat rectangular plywood plates, Philosophical Magazine, Series 7, 36, 659-688, 1945.

A. E. Green, Double Fourier series and boundary value problems, Proc. Cambridge Philosophical Society, 40, 222-228, 1944.

J. M. WHITNEY, Fourier analysis of clamped anisotropic plates, J. Appl. Mech., 38, Trans. ASME, 93, Series E., 530-532, 1971.

J. M. WHITNEY, Analysis of anisotropic rectangular plates, AIAA Journal, 10, 10 1344-1345, 1972.

C. T. SUN, Double Fourier series solution to general anisotropic plates, J. Math. and Phys. Scien., 6, 205-223, 1972.

J. B. ASTHON and M. E. WADDOUPS, Analysis of anisotropic plates, J. Composite Materials, 3, 1, 148-165, 1969,

C. Y. CHIA, Finite deflections of uniformly loaded, clamped rectangular anisotropic plates, AIAA

Journal, 10, 11, 1399-1400, 1972.

G. J. TURVRY and W.H. WITTICK, The large deflection and post-buckling behaviour of sone laminated plates, Aeronautical Quart., 24, 2, 77-86, 1973.

C. Y. CHIA and M. K. PRABHAKARA, Postbuckling behaviour of unsymmetrically layered anisotropic rectangular plates, J. Appl. Mech., 41, Trans. ASME, 96, Series E., 155-162, 1974.