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

Published online by Cambridge University Press:  15 March 2003

Dominique Chapelle
Affiliation:
INRIA-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. Dominique.Chapelle@inria.fr.
Anca Ferent
Affiliation:
INRIA-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. Dominique.Chapelle@inria.fr.
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 displacements across the thickness. These elements are very attractive, but compared to standard general shell elements they face another source of numerical locking in addition to shear and membrane locking. This additional locking phenomenon – that we call “pinching locking” – is the subject of this paper and we analyse a numerical strategy designed to overcome this difficulty. Using a model problem in which only this specific source of locking is present, we are able to obtain error estimates independent of the thickness parameter, which shows that pinching locking is effectively treated. This is also confirmed by some numerical experiments of which we give an account.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2003

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