NAVIERS SOLUTION FOR LAMINATED PLATE BUCKLING WITH PREBUCKLING INPLANE DEFORMATION

This paper presents closed-form buckling solutions for simply supporte d cross-ply rectangular symmetric laminates with allowance for the eff ects of prebuckling in-plane deformation and higher-order strain terms (curvature terms), using the Navier solution method. In the formulati on, the transverse shear effect is incorporated through the first orde r shear deformation theory and the incremental total potential energy approach is adopted. Buckling of laminates subject to different combin ations of tension and compression along plate edges is investigated. T he significant effects of prebuckling in-plane deformation and curvatu re terms on buckling loads are studied, with various loading condition s, thickness ratios, aspect ratios, degrees of material orthotropy and numbers of layers. Some exact buckling solutions for simplified gases with and without the inclusion of prebuckling in-plane deformation an d curvature terms are obtained and compared with results available els ewhere in literature. The investigation concludes that the effect of p rebuckling in-plane deformation is of the same order of magnitude as t he shear effect with certain kinds of loading conditions and aspect ra tios.