A 17-node quadrilateral spline finite element using the triangular area coordinates
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Isoparametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and conformality. A 17-node quadrilateral element has been developed using the bivariate quartic spline interpolation basis and the triangular area coordinates, which can exactly model the quartic displacement fields. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions.
Key words17-node quadrilateral element bivariate spline interpolation basis triangular area coordinates B-net method fourth-order completeness
Chinese Library ClassificationO241 O343
2000 Mathematics Subject Classification65D07 74S05
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