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Eight nodes or nine?
Author(s) -
Macneal Richard H.,
Harder Robert L.
Publication year - 1992
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.1620330510
Subject(s) - element (criminal law) , curvature , simple (philosophy) , shell (structure) , bilinear interpolation , structural engineering , geometry , finite element method , constant (computer programming) , mathematics , engineering , computer science , calculus (dental) , mechanical engineering , statistics , programming language , law , medicine , philosophy , epistemology , dentistry , political science
The chief advantage claimed for nine‐noded shell elements is that they can pass constant curvature patch tests with bilinear element geometry while eight‐noded shell elements cannot. It is shown that a simple modification of the shape functions of an eight‐noded element can make this advantage disappear. Test results confirm this result and show that the performance of a modified eight‐noded element is similar to that of recently reported nine‐noded elements.

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