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On immunizing five‐beta hybrid‐stress element models from ‘trapezoidal locking’ in practical analyses
Author(s) -
Sze K. Y.
Publication year - 2000
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(20000210)47:4<907::aid-nme808>3.0.co;2-a
Subject(s) - bending , node (physics) , plane stress , structural engineering , finite element method , stress (linguistics) , stiffness , bending stiffness , plane (geometry) , scaling , simple (philosophy) , element (criminal law) , mathematics , engineering , mathematical analysis , geometry , philosophy , linguistics , epistemology , political science , law
When multiple trapezoidal four‐node plane elements are used to model slender beams, it is found that the transverse bending stress/strain mode which should physically vanish is most detrimental to the element accuracy and leads to a deficiency which is sometimes known as ‘trapezoidal locking’. In this paper, immunity of four‐node five‐beta hybrid elements to ‘trapezoidal locking’ in practical analyses is obtained by a simple selective scaling procedure that judiciously reduces the stiffness arising from the two bending stress/strain modes in the elements. Copyright © 2000 John Wiley & Sons, Ltd.