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A rational approach for choosing stress terms for hybrid finite element formulations
Author(s) -
Pian Theodore H. H.,
Wu ChangChun
Publication year - 1988
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.1620261014
Subject(s) - finite element method , plane stress , stress (linguistics) , constant (computer programming) , rotational symmetry , displacement (psychology) , mathematics , element (criminal law) , boundary (topology) , mixed finite element method , boundary value problem , mathematical analysis , geometry , structural engineering , computer science , engineering , psychology , philosophy , linguistics , law , political science , psychotherapist , programming language
A new approach for choosing the stress terms for a hybrid stress element is based on the condition of vanishing of the virtual work along the element boundary due to the stress terms higher than constant and the additional incompatible displacement. Examples using 4‐node plane stress elements have shown that when the incompatible displacements also satisfy the constant strain patch test the resulting elements will provide the most accurate solutions. Advantages of this approach for the formulation of an axisymmetric solid are also indicated.