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The treatment of “pinching locking” in 3D-shell elements

Published online by Cambridge University Press:  15 March 2003

Dominique Chapelle ,
Anca Ferent  and
Patrick Le Tallec
Dominique Chapelle
Affiliation:
INRIA-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. [email protected].
Anca Ferent
Affiliation:
INRIA-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. [email protected].
Patrick Le Tallec
Affiliation:
École Polytechnique, 91128 Palaiseau Cedex, France.
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Abstract

We consider a family of shell finite elements with quadratic displacementsacross the thickness. These elements are very attractive, but compared to standard general shell elements they face another sourceof numerical locking in addition to shear and membrane locking. Thisadditional locking phenomenon – that we call “pinching locking” – is thesubject of this paper and we analyse a numerical strategy designed to overcomethis difficulty. Using a model problem in which only this specific sourceof locking is present, we are able to obtain error estimatesindependent of the thickness parameter, which shows that pinching lockingis effectively treated. This is also confirmed by some numerical experimentsof which we give an account.

Keywords

Numerical lockingshell finite elementsmixed formulation.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 1 , January 2003 , pp. 143 - 158
Copyright
© EDP Sciences, SMAI, 2003

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