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A functional for shells of arbitrary geometry and a mixed finite element method for parabolic and circular cylindrical shells
Author(s) -
Aköz A. Y.,
Özütok A.
Publication year - 2000
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(20000430)47:12<1933::aid-nme860>3.0.co;2-0
Subject(s) - shell (structure) , kinematics , geometry , finite element method , surface (topology) , mathematics , mathematical analysis , boundary value problem , section (typography) , physics , structural engineering , classical mechanics , mechanical engineering , engineering , computer science , operating system
In this study a higher‐order shell theory is proposed for arbitrary shell geometries which allows the cross‐section to rotate with respect to the middle surface and to warp into a non‐planar surface. This new kinematic assumption satisfies the shear‐free surface boundary condition (BC) automatically. A new internal force expression is obtained based on this kinematic assumption. A new functional for arbitrary shell geometries is obtained employing Gâteaux differential method. During this variational process the BC is constructed and introduced to the functional in a systematic way. Two different mixed elements PRSH52 and CRSH52 are derived for parabolic and circular cylindrical shells, respectively, using the new functional. The element does not suffer from shear locking. The excellent performance of the new elements is verified by applying the method to some test problems. Copyright © 2000 John Wiley & Sons, Ltd.