A nonlinear analysis of unsymmetric, angle-ply, rectangular plates under uniform in-plane edge shear is presented. The solution is based on the von Kármán-type large-deflection equations, with the force function and the transverse deflection expressed as double series in terms of appropriate beam functions. The prescribed boundary conditions, including those for the vanishing of normal bending moment at the edges of simply supported plates, are satisfied. Numerical results for the buckling loads and for the post-buckling deflections, membrane forces and bending moments are presented for plates composed of high-modulus, fibre-reinforced epoxy composites.
Get full access to this article
View all access options for this article.
References
1.
TurveyG. J.WittrickW. H.‘The large deflection and post-buckling behaviour of some laminated plates’, Aeronautical Quarterly197324, 77–86.
2.
ChiaC. Y.PrabhakaraM. K.‘Postbuckling behaviour of unsymmetrically layered anisotropic rectangular plates’, J. appl. Mech.197441, 155–162.
3.
StavskyY.‘On the general theory of heterogeneous aelotropic plates’, Aeronautical Quarterly196415, 29–38.
4.
GreenA. E.‘Double Fourier series and boundary value problems’, Proc. Cambridge Phil. Soc.194440, 222–228.
5.
AshtonJ. E.WhitneyJ. M.Theory of laminated plates1970 (Technomic, Stamford).
6.
TimoshenkoS.GereJ. M.Theory of elastic stability1961 (McGraw-Hill).
