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On the classical shell model underlying bilinear degenerated shell finite elements
Author(s) -
Malinen Mika
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.216
Subject(s) - shell (structure) , bilinear interpolation , finite element method , shell model , parametric statistics , connection (principal bundle) , mathematics , geometry , mechanics , physics , structural engineering , engineering , mechanical engineering , statistics , atomic physics
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 two‐dimensional 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 © 2001 John Wiley & Sons, Ltd.