Application of higher order theories to the bending analysis of layered composite plates

Abstract An increasing number of higher order theories for the analysis of laminated plates has been published recently. However, there is as yet a lack of rigorous information about a sensible range of application. To help remedy this deficiency, seven different theories with displacement functions valid for the complete plate thickness are compared against the exact three-dimensional elasticity solution. Rectangular plates with varying slenderness ratios, layer numbers and thicknesses, edge ratios, and material property relations are examined. Comparing their displacements and stress distributions reveals application limits for the classical lamination theory as well as advantages and disadvantages of the respective higher order theories. Therewith, guiding rules evolve for a reliable and efficient bending analysis of layered composite plates.

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