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On hybrid stress, hybrid strain and enhanced strain finite element formulations for a geometrically exact shell theory with drilling degrees of freedom
Author(s) -
Sansour Carlo,
Bocko Jozef
Publication year - 1998
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/(sici)1097-0207(19980915)43:1<175::aid-nme448>3.0.co;2-9
Subject(s) - finite element method , node (physics) , shell (structure) , structural engineering , stress (linguistics) , mixed finite element method , degrees of freedom (physics and chemistry) , stress–strain curve , finite element limit analysis , engineering , mechanical engineering , physics , philosophy , linguistics , quantum mechanics
Abstract The paper is concerned with the finite element formulation of a recently proposed geometrically exact shell theory with natural inclusion of drilling degrees of freedom. Stress hybrid finite elements are contrasted by strain hybrid elements as well as enhanced strain elements. Numerical investigations and comparison is carried out for a four‐node element as well as a nine‐node one. As far as the four‐node element is concerned it is shown that the stress hybrid element and the enhanced strain one are equivalent. The hybrid strain formulation corresponds to the hybrid stress formulation only in shear dominated problems, that is the case of the plate. © 1998 John Wiley & Sons, Ltd.