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Distortion‐immune nine‐node displacement‐based quadrilateral thick plate finite elements that satisfy constant‐bending patch test
Author(s) -
Ribarić Dragan,
Jelenić Gordan
Publication year - 2014
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.4639
Subject(s) - quadrilateral , finite element method , mathematics , interpolation (computer graphics) , distortion (music) , geometry , bending , stiffness matrix , bending of plates , node (physics) , displacement (psychology) , mathematical analysis , constant (computer programming) , structural engineering , computer science , engineering , psychology , amplifier , psychotherapist , programming language , animation , computer network , computer graphics (images) , bandwidth (computing)
SUMMARY We employ the linked interpolation concept to develop two higher‐order nine‐node quadrilateral plate finite elements with curved sides that pass the constant bending patch test for arbitrary node positions. The linked interpolation for the plate displacements is expanded with three bubble parameters to get polynomial completeness necessary to satisfy the patch test. In contrast to some other techniques, the elements developed in this way retain a symmetric stiffness matrix at a marginal computational expense at the element level. The new elements generated using this concept are tested on several examples with curved sides or some other kind of geometric distortion. Copyright © 2014 John Wiley & Sons, Ltd.