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An assumed strain triangular curved solid shell element formulation for analysis of plates and shells undergoing finite rotations
Author(s) -
Hong Won I.,
Kim Jong H.,
Kim Yong H.,
Lee Sung W.
Publication year - 2001
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.234
Subject(s) - finite element method , shell (structure) , kinematics , displacement (psychology) , degrees of freedom (physics and chemistry) , displacement field , deformation (meteorology) , geometry , structural engineering , mechanics , mathematical analysis , mathematics , engineering , classical mechanics , physics , mechanical engineering , psychology , quantum mechanics , meteorology , psychotherapist
A formulation for 36‐DOF assumed strain triangular solid shell element is developed for efficient analysis of plates and shells undergoing finite rotations. Higher order deformation modes described by the bubble function displacements are added to the assumed displacement field. The assumed strain field is carefully selected to alleviate locking effect. The resulting element shows little effect of membrane locking as well as shear locking, hence, it allows modelling of curved shell structures with curved elements. The kinematics of the present formulation is purely vectorial with only three translational degrees of freedom per node. Accordingly, the present element is free of small angle assumptions, and thus it allows large load increments in the geometrically non‐linear analysis. Various numerical examples demonstrate the validity and effectiveness of the present formulation. Copyright © 2001 John Wiley & Sons, Ltd.