Abstract
The status of three-node, triangular, thin plate bending elements is summarized, from which the Hansen-Bergan (HBS) and composite triangle (CT) elements emerge as the most competitive, but still exhibit some difficulties in efficient formulation. By combining discrete Kirchoff theory and least squares techniques it is possible to construct high performance displacement type elements, and two such elements are presented here. These elements offer performance comparable or better than HBS and CT elements, and are efficiently formed explicitly by simply pre- and post-multiplying two (9 × 9) matrices. Both linearly varying thickness and uniform thickness plates are considered. The performance is demonstrated for the standard problems widely used to assess such elements.
Published Version
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