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Unformatted text preview: Invariant Finite Element Model for Composite Structures: The Generalized Uni fi ed Formulation Luciano Demasi ∗ San Diego State University, San Diego, California 92182 DOI: 10.2514/1.45416 The generalized uni fi ed formulation presented here is a modern approach for the fi nite element analysis of sandwich plates and in general multilayered structures. A large variety of types of theories with any combination of orders of expansion for the different displacement variables can be obtained from the expansion of six 1 1 arrays (the kernels or fundamental nuclei of the generalized uni fi ed formulation). Each of the displacement variables is independently treated and different orders of expansions for the different unknowns can be chosen. Because in fi nite combinations can be freely chosen for the displacements, the generalized uni fi ed formulation allows the user to write 1 3 higher-order shear deformation theories, 1 3 zig – zag theories, and 1 3 layerwise theories with a single invariant formulation implemented in a single fi nite element method code. The six independent fundamental nuclei are formally invariant with respect to the order used for the expansion or with respect to the type of theory. Theformally invariant with respect to the order used for the expansion or with respect to the type of theory....
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- Spring '11