ISSN:
0029-5981
Keywords:
Reissner-Mindlin plates
;
hybrid-Trefftz elements
;
shear locking
;
soft and hard simple support
;
h-convergence
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
This paper presents a simple quadrilateral 12 DOF plate bending element based on a modified version of the hybrid-Trefftz approach. This element makes use of two independent fields of generalized displacements: ia non-conforming field (11 Trefftz terms for transverse displacement w and the corresponding rotations Θx, Θy) satisfying the governing differential equations of Reissner-Mindlin theory;iian auxiliary conforming field with displacements w̃ linked to rotations \documentclass{article}\pagestyle{empty}\begin{document}$ \tilde \Theta _x,\tilde \Theta _y$\end{document}, by the requirement of constant boundary distribution of the corresponding tangential component S̃t, of the transverse shear. This allows quadratic w̃ and linear \documentclass{article}\pagestyle{empty}\begin{document}$ \tilde \Theta _x,\tilde \Theta _y $\end{document}, at the element boundary to be obtained with only 3 DOF at the corner nodes.The resulting element, denoted by Q̃21-11, is robust and free of shear locking in the thin limit. The numerical assessment involves comparison with several recently presented 12 DOF thick plate quadrilaterals as well as with the standard 16 DOF hybrid-Trefftz quadrilateral, Q21-15S, with 15 Trefftz terms and independently interpolated w̃ and \documentclass{article}\pagestyle{empty}\begin{document}$ \tilde \Theta _x,\tilde \Theta _y $\end{document}.
Additional Material:
8 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620381508
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