Performance of a high‐continuity finite element in three‐dimensional elasticity

Abstract

We test the performance of a three-dimensional finite element, named HC(3), which generalizes the high-continuity (HC) finite element proposed by Aristodemo in 1985 for two-dimensional elastic problems. The HC(3) 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 Bezier interpolation, consists in its capability in reproducing displacement fields of C(1) smoothness with a computational cost equivalent to a linear interpolation, i.e. with a single knot for each element

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“…[28][29][30][31][32][33][34][35] in order to design new and enriched metamaterials. It is also very interesting the extension to the 3D case using the suggestions reported in [36].…”

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“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal

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