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Civil-Comp Proceedings
ISSN 1759-3433
ISSN 1759-3433
CCP: 22
ADVANCES IN FINITE ELEMENT TECHNIQUES
ADVANCES IN FINITE ELEMENT TECHNIQUES
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
Abstract
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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