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On the calculation of consistent stress distributions in finite element approximations
Author(s) -
Oden J. T.,
Brauchli H. J.
Publication year - 1971
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.1620030303
Subject(s) - approximations of π , finite element method , mathematics , displacement (psychology) , stress (linguistics) , mathematical analysis , element (criminal law) , mixed finite element method , structural engineering , engineering , psychology , linguistics , philosophy , psychotherapist , political science , law
The theory of conjugate approximations 1 is used to obtain consistent approximations of stress fields in finite element approximations based on displacement assumptions. These consistent stresses are continuous across interelement boundaries and involve less mean error than those computed by the conventional approach.