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.
Bilotta, A., Formica, G., Turco, E. (2010). Performance of a high-continuity finite element in three-dimensional elasticity. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 26(9), 1155-1175 [10.1002/cnm.1201].
Performance of a high-continuity finite element in three-dimensional elasticity
FORMICA, GIOVANNI;
2010-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
