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Development of geometrically exact new shell elements based on general curvilinear co‐ordinates
Author(s) -
Cho Maenghyo,
Roh Hee Yuel
Publication year - 2002
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.546
Subject(s) - curvilinear coordinates , shell (structure) , finite element method , geometry , transverse shear , displacement (psychology) , cartesian coordinate system , tensor (intrinsic definition) , mathematics , mathematical analysis , structural engineering , engineering , mechanical engineering , psychology , psychotherapist
In the present study first‐order shear deformable shell finite elements based on general curvilinear co‐ordinates are proposed. For the development of the present shell elements, a partial mixed variational functional with independently assumed strains is provided in order to avoid the severe locking troubles known as transverse shear and membrane lockings. Bubble functions are included in the shape function of displacement to improve the performance of the developed element. The proposed assumed strain four‐ and nine‐node elements based on the general tensor shell theory provide an efficient linkage framework for shell surface modelling and finite element analysis. In the several benchmark problems, the present shell elements with exact geometric representations demonstrate their performance compared to previously reported results. Copyright © 2002 John Wiley & Sons, Ltd.