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A four‐node solid shell element formulation with assumed strain
Author(s) -
Kemp Brian L.,
Cho Chahngmin,
Lee Sung W.
Publication year - 1998
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(19981115)43:5<909::aid-nme450>3.0.co;2-x
Subject(s) - node (physics) , shell (structure) , element (criminal law) , bubble , deformation (meteorology) , kinematics , function (biology) , distortion (music) , finite element method , mechanics , mathematical analysis , geometry , mathematics , classical mechanics , physics , structural engineering , engineering , materials science , mechanical engineering , composite material , amplifier , optoelectronics , cmos , evolutionary biology , political science , law , biology
A set of four‐node shell element models based on the assumed strain formulation is considered here. The formulation allows for changes in the shell thickness. As a result, the kinematics of deformation are described by purely vectorial variables, without using rotational angles. The present study investigates the use of bubble function displacements and the assumed strain field. Careful selection of the assumed strain terms generates an element whose order of numerical integration does not increase even when the bubble function displacements are added. Results for the four‐node element without any bubble function terms show sensitivity to element distortion. Use of the bubble functions with a carefully chosen assumed strain field greatly improves element performance. © 1998 John Wiley & Sons, Ltd.