Improved enhanced strain four-node element with taylor expansion of the shape functions

verfasst von
Jože Korelc, Peter Wriggers
Abstract

A class of enhanced strain four-node elements with Taylor expansion of the shape function derivatives is presented. A new concept of enhancement using besides the standard enhanced strain fields also two other enhanced fields is developed on the basis of the Hu-Washizu principle. For first-order Taylor expansion enhanced modes become uncoupled, thus only a negligible amount of computing effort for the static condensation of enhanced modes is needed. Furthermore, the formulation permits a symbolic integration, which leads to a closed-form solution for the element tangent matrix. Several numerical examples show that the element is stable, invariant, passes the patch test and yields good results especially in the highly distorted regime.

Externe Organisation(en)
University of Ljubljana
Technische Universität Darmstadt
Typ
Artikel
Journal
International Journal for Numerical Methods in Engineering
Band
40
Seiten
407-421
Anzahl der Seiten
15
ISSN
0029-5981
Publikationsdatum
15.02.1997
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mathematik, Allgemeiner Maschinenbau, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1002/(SICI)1097-0207(19970215)40:3<407::AID-NME70>3.0.CO;2-P (Zugang: Unbekannt)
 

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