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Performance of displacement finite elements for modelling incompressible materials

โœ Scribed by Yu, H. S.; Netherton, M. D.

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
335 KB
Volume
24
Category
Article
ISSN
0363-9061

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โœฆ Synopsis

It is well established that severe numerical di$culties may arise when the displacement "nite element method is used to analyse the behaviour of incompressible solids and this is particularly true for axisymmetric problems. These numerical di$culties are caused by excessive kinematic constraints and are re#ected by strong oscillations in the calculated stress distribution and overestimations of collapse loads. The purpose of this paper is to present new displacement "nite element formulations which are particularly suitable for axisymmetric analysis of incompressible materials. A direct comparison is made of the performance of various displacement "nite elements in the analysis of elastic or plastic incompressible materials under axisymmetric loading conditions. Particular attention is focused on the performance of various axisymmetric displacement elements in predicting the stress "eld of incompressible or nearly incompressible materials.

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