On the classical shell model underlying bilinear degenerated shell finite elements
β Scribed by Mika Malinen
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 581 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.216
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β¦ Synopsis
Abstract
We study the shell models arising in the numerical modelling of shells by bilinear degenerated shell finite elements. The numerical model of a cylindrical shell obtained by using flat shell elements is given an equivalent formulation based on a classical twoβdimensional shell model. We use the connection between the models to explain how a parametric error amplification difficulty or locking is avoided by some elements. Copyright Β© 2001 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
We show that although no actual mathematical shell model is explicitly used in 'general shell element' formulations, we can identify an implicit shell model underlying these ΓΏnite element procedures. This 'underlying model' compares well with classical shell models since it displays the same asympto
## Abstract A fourβnode shell finite element of arbitrary quadrilateral shape is developed and applied to the solution of static and vibration problems. The element incorporates five generalized degrees of freedom per node, namely the three displacements of the curved middle surface and the two rot