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EAS‐elements for two‐dimensional, three‐dimensional, plate and shell structures and their equivalence to HR‐elements
Author(s) -
Andelfinger U.,
Ramm E.
Publication year - 1993
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.1620360805
Subject(s) - shell (structure) , node (physics) , structural engineering , equivalence (formal languages) , element (criminal law) , finite element method , geometry , engineering , materials science , mathematics , composite material , discrete mathematics , political science , law
The enhanced assumed strain (EAS) method, recently proposed by Simo and Rifai 13 , is used to develop new four‐node membrane, plate and shell elements and eight‐node solid elements. The equivalence of certain EAS‐elements with Hellinger‐Reissner (HR) elements is discussed. For instance, the seven‐parameter element EAS‐7 with 2 × 2 integration is identical to the HR‐element of Pian and Sumihara 2 . Eight‐node solid elements which are free of volumetric locking and four‐node shell elements which have an improved membrane and bending behaviour, compared to the Bathe‐Dvorkin shell element 7 , are introduced. Numerical tests for linear elastic problems show an improved performance of the EAS‐elements.