An improved three-node hybrid-mixed element for Mindlin/Reissner plates

Citation
R. Ayad et al., An improved three-node hybrid-mixed element for Mindlin/Reissner plates, INT J NUM M, 51(8), 2001, pp. 919-942
Citations number
54
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
0029-5981 → ACNP
Volume
51
Issue
8
Year of publication
2001
Pages
919 - 942
Database
ISI
SICI code
0029-5981(20010720)51:8<919:AITHEF>2.0.ZU;2-7
Abstract
Based on the mixed shear projected (MiSP) approach [6], an enhanced bending approximation for homogeneous isotropic plates is presented. Some hard ben chmark tests, as skew plate (30 degrees) problem for instance, have often s hown poor convergence when low order elements (3- or 4-node element) are de veloped using linear approximations for kinematic variables. To put right t his weakness, we propose a high-order interpolation for rotational dofs whi ch results in more rich bending curvatures. The mid-side rotational nodes a re eliminated using a combination of local discrete kinematic and constitut ive Mindlin hypothesises. The derived 3-node triangular element, called MiS P3+, is free of shear locking and passes all patch-tests for thick and thin plates in an arbitrary mesh. Copyright (C) 2001 John Wiley & Sons, Ltd.