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Computational Science, Engineering & Technology Series
ISSN 1759-3158 CSETS: 1
INNOVATIVE COMPUTATIONAL METHODS FOR STRUCTURAL MECHANICS Edited by: M. Papadrakakis, B.H.V. Topping
Chapter 5
Use of Hybrid Mixed Finite Element Models for the Characterisation of the Boundary Layer in Reissner-Mindlin Plates E.B.R. Pereira and J.P. Moitinho de Almeida
Departamento de Engenharia Civil, Instituto Superior Tecnico, Lisbon, Portugal E.B.R. Pereira, J.P. Moitinho de Almeida, "Use of Hybrid Mixed Finite Element Models for the Characterisation of the Boundary Layer in Reissner-Mindlin Plates", in M. Papadrakakis, B.H.V. Topping, (Editors), "Innovative Computational Methods for Structural Mechanics", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 5, pp 97-107, 1999. doi:10.4203/csets.1.5
Abstract
In this paper the nonconventional finite element formulations being
developed at IST are used to study a boundary layer. Hybrid mixed finite
elements with approximations based on Legendre polynomials are used to characterise
the high stress gradients, which occur near the edges of "thin" bending
plates for which the Reissner-Mindlin behaviour is assumed. This study is performed
on a square plate for different boundary conditions. For the case of the
soft simply supported plate the behaviour of the formulation that was used is
studied in detail. A numerical characterisation of the boundary layer for different
thicknesses is also performed.
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