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Comments on Membrane Locking
Author(s) -
Winkler Robert
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010107
Subject(s) - benchmark (surveying) , context (archaeology) , point (geometry) , membrane , shell (structure) , finite element method , node (physics) , element (criminal law) , scheme (mathematics) , computer science , mathematics , engineering , mathematical analysis , mechanical engineering , chemistry , geometry , structural engineering , geology , geodesy , political science , law , paleontology , biochemistry
Membrane locking is a severe issue frequently neglected in the context of low‐order (four node isoparametric) shell elements. From a theoretical point of view, the present contribution illustrates the underlying mechanism by means of shallow shell theory. From a numerical point of view, different element formulations based on standard enhanced assumed membrane strains and reduced integration methods have been compared to each other applying standard as well as modified benchmark examples. A modified integration scheme is proposed. According to preliminary results it behaves virtually optimal within the limits of finite element perfectibility. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)