Bilotta, Antonio and Formica, Giovanni and Turco, Emilio (2010) Performance of a high-continuity finite element in three-dimensional elasticity. International Journal for Numerical Methods in Biomedical Engineering, Vol. 26 (9), p. 1155-1175. eISSN 2040-7947. Article.
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We test the performance of a three-dimensional finite element, named HC3, which generalizes the high-continuity (HC) finite element proposed by Aristodemo in 1985 for two-dimensional elastic problems. The HC3 finite element is based on a quadratic B-spline interpolation of the displacement field in three-dimensional linear elasticity. The main feature of this interpolation technique, which can be considered as a particular case of the Bézier interpolation, consists in its capability in reproducing displacement fields of C smoothness with a computational cost equivalent to a linear interpolation, i.e. with a single knot for each element.
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