The treatment of 'pinching locking' in 3D-shell elements

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.
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https://hal.inria.fr/hal-00839235
Contributor : Dominique Chapelle <>
Submitted on : Thursday, June 27, 2013 - 3:11:46 PM
Last modification on : Wednesday, March 27, 2019 - 4:16:23 PM

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Dominique Chapelle, Anca Ferent, Patrick Le Tallec. The treatment of 'pinching locking' in 3D-shell elements. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2003, 37 (1), pp.143-158. ⟨10.1051/m2an:2003015⟩. ⟨hal-00839235⟩

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