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Fast and accurate 4-node quadrilateral

Fredriksson, Magnus LU and Ottosen, Niels Saabye LU (2004) In International Journal for Numerical Methods in Engineering 61(11). p.1809-1834
Abstract
An accurate and variationally consistent 4-node quadrilateral element is introduced where high coarse mesh accuracy and low mesh distortion sensitivity are characteristic qualities, even when incompressibility is approached for plane strain. One-point quadrature integration procedure is adopted and a new improved stabilization technique is developed. Orthogonality conditions are utilized so that the patch test is satisfied for arbitrary quadrilaterals. Several numerical examples including a convergence rate study are presented which confirm the excellent performance of this element. Copyright (C) 2004 John Wiley Sons, Ltd.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hu-Washizu principle, one-point integration, hourglass stabilization, quadrilateral
in
International Journal for Numerical Methods in Engineering
volume
61
issue
11
pages
1809 - 1834
publisher
John Wiley & Sons
external identifiers
  • wos:000225212300003
  • scopus:9344223925
ISSN
1097-0207
DOI
10.1002/nme.1133
language
English
LU publication?
yes
id
9e08f6b5-3190-4ba6-a495-b17580fe109e (old id 260144)
date added to LUP
2007-10-22 18:52:19
date last changed
2017-01-01 04:38:44
@article{9e08f6b5-3190-4ba6-a495-b17580fe109e,
  abstract     = {An accurate and variationally consistent 4-node quadrilateral element is introduced where high coarse mesh accuracy and low mesh distortion sensitivity are characteristic qualities, even when incompressibility is approached for plane strain. One-point quadrature integration procedure is adopted and a new improved stabilization technique is developed. Orthogonality conditions are utilized so that the patch test is satisfied for arbitrary quadrilaterals. Several numerical examples including a convergence rate study are presented which confirm the excellent performance of this element. Copyright (C) 2004 John Wiley Sons, Ltd.},
  author       = {Fredriksson, Magnus and Ottosen, Niels Saabye},
  issn         = {1097-0207},
  keyword      = {Hu-Washizu principle,one-point integration,hourglass stabilization,quadrilateral},
  language     = {eng},
  number       = {11},
  pages        = {1809--1834},
  publisher    = {John Wiley & Sons},
  series       = {International Journal for Numerical Methods in Engineering},
  title        = {Fast and accurate 4-node quadrilateral},
  url          = {http://dx.doi.org/10.1002/nme.1133},
  volume       = {61},
  year         = {2004},
}