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A simple hybrid stress element for shear deformable plates
Author(s) -
de Miranda Stefano,
Ubertini Francesco
Publication year - 2005
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.1467
Subject(s) - quadrilateral , transverse shear , shear (geology) , displacement (psychology) , structural engineering , element (criminal law) , interpolation (computer graphics) , stress (linguistics) , simple (philosophy) , geometry , shear stress , mathematics , finite element method , mathematical analysis , mechanics , engineering , materials science , physics , classical mechanics , composite material , motion (physics) , psychology , linguistics , philosophy , epistemology , political science , law , psychotherapist
A new quadrilateral 4‐node element for shear deformable plates is developed based on the hybrid stress formulation. The element is designed to be simple, stable, free of locking and to pass all the patch tests. To this purpose, special attention is devoted to select displacement and stress approximations. The standard displacement interpolation is enhanced by linking the transverse displacement to the nodal rotations and an appropriate stress approximation is rationally derived. In particular, the assumed stress approximation is equilibrated within each element, co‐ordinate invariant and ruled by the minimum number of parameters. Excellent element performance is demonstrated by a wide experimental evaluation. Copyright © 2005 John Wiley & Sons, Ltd.