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

authored by

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.

External Organisation(s)

University of Ljubljana
Technische Universität Darmstadt

Type

Article

Journal

International Journal for Numerical Methods in Engineering

Volume

40

Pages

407-421

No. of pages

15

ISSN

0029-5981

Publication date

15.02.1997

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Numerical Analysis, Engineering(all), Applied Mathematics

Electronic version(s)

https://doi.org/10.1002/(SICI)1097-0207(19970215)40:3<407::AID-NME70>3.0.CO;2-P (Access: Unknown)

 

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