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Exact buckling solutions for composite laminates: Proper free edge conditions under in-plane loadings. (English) Zbl 0946.74027

Summary. This paper considers the elastic buckling of symmetric cross-ply laminated rectangular plates with two parallel edges simply supported, one edge free and the remaining edge free, simply supported or clamped. The first-order shear deformation plate theory is used in the analysis. We correct an error apparently made by previous researchers for boundary conditions at free edges subjected to in-plane loads. Closed-form buckling factors are obtained using a generalized Levy-type solution method to solve the differential equations which govern the buckling behaviour of laminates. Comparisons are made with previously published results, and the differences between buckling factors obtained with appropriate and inappropriate free edge conditions are examined. We investigate the variation of buckling factors with plate aspect ratio, thickness ratio and the number of layers. First-known buckling solutions for cross-ply laminates are reported in design charts and tables.

MSC:

74G60 Bifurcation and buckling
74E30 Composite and mixture properties
74K20 Plates

Software:

Mathematica
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