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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 22
Edited by: M. Papadrakakis and B.H.V. Topping
Paper I.8

The Locking Phenomenon when Solving Reissner-Mindlin Problems with Finite Elements

L.D. Croce* and T. Scapolla#

*Dipartimento di Matematica, Universita di Pavia, Pavia, Italy
#Dipartimento di Matematica, Universita di Torino, Torino, Italy

Full Bibliographic Reference for this paper
L.D. Croce, T. Scapolla, "The Locking Phenomenon when Solving Reissner-Mindlin Problems with Finite Elements", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Finite Element Techniques", Civil-Comp Press, Edinburgh, UK, pp 39-46, 1994. doi:10.4203/ccp.22.1.8
The Reissner-Mindlin model for plates describes the deformation of a plate subject to a transverse loading when transverse shear deformation is taken into account. Despite its simple approach the discretization of the Reissner- Mindlin model is not straightforward. The inclusion of transverse shear strain effect in standard finite element models introduces undesirable numerical effects. The approximate solution is very sensitive to the plate thickness and, for small thickness, it is very far from the true solution. The phenomenon is known as locking of the numerical solution. Recently, different approaches to the finite element solution of the problem have been suggested. In this paper we analyze the behaviour of some finite element methods with respect to the locking phenomenon.

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