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A new penalty function element for thin shell analysis
Author(s) -
Haugeneder E.
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.1620180604
Subject(s) - penalty method , shell (structure) , constraint (computer aided design) , displacement (psychology) , finite element method , element (criminal law) , function (biology) , transverse plane , mathematics , weight function , displacement field , mathematical analysis , field (mathematics) , geometry , mathematical optimization , structural engineering , materials science , engineering , pure mathematics , composite material , psychotherapist , biology , psychology , evolutionary biology , political science , law
In this paper a triangular thin shell element is presented where C 1 continuity is introduced by means of the penalty function technique. The displacement field has complete cubic polynomials for each component. The introduced constraint condition is the continuity of normal slopes of the transverse displacements along interelement boundaries. Classical thin shell theory for small deformations is applied. Several analyses of thin plates and shells are performed, including a large problem of practical interest, to study the effect of an increasing penalty factor. The accuracy of the results is estimated and compared to the actually occurred error. In the conclusions a recommended value for the penalty factor is given.