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A family of conforming finite elements for deep shell analysis
Author(s) -
Sander G.,
Idelsohn S.
Publication year - 1982
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.1620180305
Subject(s) - shell (structure) , finite element method , curvature , strain energy , mathematics , geometry , structural engineering , mathematical analysis , engineering , mechanical engineering
The problem related to the derivation of conforming deep shell finite elements is examined in the light of the thin shell theory and using the classical Loves strain energy formulation. A family of quadrangular finite elements allowing for variable curvature is developed. It is shown how an exact conformity of the displacements can be ensured in a large number of cases. Various static and dynamic applications are used to illustrate the advantages of these elements.