An efficient 3D enhanced strain element with Taylor expansion of the shape functions

authored by

J. Korelc, Peter Wriggers

Abstract

Further development of three dimensional tri-linear elements based on a modified enhanced strain methodology is presented. The new formulation employs Taylor expansions of the derivatives of the isoparametric and enhanced shape functions in local coordinates. With this approach, only nine enhanced modes are needed for developing a dilatational-locking free element. Furthermore, the formulation permits a symbolic integration of the element tangent matrix, and more efficient static condensation procedure due to uncoupling of the enhanced modes. Good results in the analysis of thin shell structures, using only one 3D element in the thickness direction of the shell, are also presented.

External Organisation(s)

Technische Universität Darmstadt
University of Ljubljana

Type

Article

Journal

Computational mechanics

Volume

19

Pages

30-40

No. of pages

11

ISSN

0178-7675

Publication date

1996

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics

 

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