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Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes. (English) Zbl 0989.74067
Summary: We present node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes. The elements use the linear interpolation functions of the original mesh, but each element is associated with a single node. As a result, we obtain a favourable constraint ratio for the volumetric response. The uniform strain elements do not require the introduction of additional degrees of freedom, and their performance is shown to be significantly better than that of three-node triangular or four-node tetrahedral elements. In addition, nodes inside the boundary of the mesh are observed to exhibit superconvergence behaviour for a set of example problems.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74S10 Finite volume methods applied to problems in solid mechanics
74B05 Classical linear elasticity
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