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An assumed covariant strain based 9‐node shell element
Author(s) -
Jang Junho,
Pinsky Peter M.
Publication year - 1987
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.1620241211
Subject(s) - covariant transformation , shell (structure) , element (criminal law) , convergence (economics) , hourglass , distortion (music) , node (physics) , mathematical analysis , geometry , finite element method , mathematics , physics , materials science , structural engineering , engineering , composite material , amplifier , optoelectronics , cmos , astronomy , political science , law , economics , economic growth
A new shell element, which is free from serious locking problems and which does not possess hourglass modes, is proposed. Solutions obtained with this element exhibit good convergence and are satisfactorily insensitive to mesh distortion. The element also exhibits good convergence for plates with variable thickness. This element is based on the use of assumed covariant strains which are obtained from the covariant strain field defined with respect to the element natural co‐ordinate system. Only the linear version for thin shell cases is considered. The element performance is tested by application to several standard plate and shell problems. A problem involving variable thickness is also presented.