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Understanding and improving the reduced integration of Mindlin shell elements
Author(s) -
Kamoulakos Argiris
Publication year - 1988
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.1620260908
Subject(s) - simple (philosophy) , shell (structure) , element (criminal law) , bending , set (abstract data type) , node (physics) , structural engineering , beam (structure) , finite element method , scheme (mathematics) , engineering , geometry , mathematics , computer science , mathematical analysis , mechanical engineering , philosophy , epistemology , political science , law , programming language
The reason for looking in some depth at locking of Mindlin shell elements is introduced. A simple example of straight beam locking is examined in detail. The observations about reduced integration that emerge are subsequently unified with some other facts the writer has come across. A simple curved beam element is then formulated and examined under inextensional bending. The performance of this element under reduced integration is predicted for both the ‘undistorted’ and ‘distorted’ configurations (see text) and for a selective‐very reduced integration scheme. The previous predictions are then verified through the performance of an 8 node Mindlin shell element in a suitable cylindrical shell test. The paper finally concludes with a set of important observations that so easily could be drawn from such a simple analysis.