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Elastoplastic stability analysis of shells using the physically stabilized finite element SHB8PS
Author(s) -
Legay Antoine,
Combescure Alain
Publication year - 2003
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.728
Subject(s) - element (criminal law) , hourglass , stability (learning theory) , finite element method , cube (algebra) , node (physics) , gauss , computer science , code (set theory) , mathematics , structural engineering , algorithm , geometry , physics , engineering , set (abstract data type) , quantum mechanics , astronomy , machine learning , political science , law , programming language
In this paper, we present the formulation of the SHB8PS element, its implementation into the incremental, non‐linear and implicit calculation code Stanlax‐INCA and examples of applications which demonstrate its efficiency. This element is an 8‐node, three‐dimensional cube with a preferential direction called the thickness. Therefore, it can be used to represent thin structures while, at the same time, correctly taking into account phenomena throughout the thickness thanks to the use of a numerical integration with five Gauss points in that direction. This element is subintegrated and thus requires a stabilization mechanism in order to control the hourglass modes. The stabilization technique used is based on the works by Belytschko and Bindeman, which apply an ‘assumed strain method’. The main advantage of this element is the adaptivity of its stabilization term, which is made variable with the elastoplastic evolution throughout the thickness. Copyright © 2003 John Wiley & Sons, Ltd.