Control of spurious modes in the nine‐node quadrilateral element | Zendy

Cook Robert D. | Zendy; ZhaoHua Feng | Zendy

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Control of spurious modes in the nine‐node quadrilateral element

Author(s) -

Cook Robert D.,

ZhaoHua Feng

Publication year - 1982

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620181012

Subject(s) - quadrilateral , spurious relationship , gaussian quadrature , quadrature (astronomy) , node (physics) , tanh sinh quadrature , clenshaw–curtis quadrature , gauss–kronrod quadrature formula , element (criminal law) , gauss , mathematics , mathematical analysis , finite element method , physics , structural engineering , engineering , electronic engineering , nyström method , integral equation , statistics , law , quantum mechanics , political science

The nine‐node quadrilateral is much more accurate than its eight‐node relative if elements are non‐rectangular. However, the nine‐node element may display spurious low‐energy modes under 2 × 2 Gauss quadrature. These modes can be controlled by using the 3 × 3 quadrature rule, but at added cost. This paper investigates two inexpensive control devices that can be used with 2 × 2 Gauss quadrature.

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