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Simple and accurate four-node axisymmetric element

Fredriksson, Magnus LU and Ottosen, Niels Saabye LU (2007) In International Journal for Numerical Methods in Engineering 71(2). p.175-200
Abstract
Based on the assumed strain method, a simple four-node axisymmetric solid element is introduced. The assumed strain field is carefully selected to preserve the correct rank of the element stiffness matrix and to achieve high accuracy. The strain field is developed in conjunction with orthogonal projections and no matrix inversions are needed. The coarse mesh accuracy in bending and in typical axisymmetric load cases is excellent even for nearly incompressible materials. The strain-driven format obtained is well suited for materials with non-linear stress-strain relations. Several numerical examples are presented where the excellent performance of the proposed simple element is verified. Copyright (C) 2006 John Wiley & Sons, Ltd.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
stabilization, quadrilateral, Hu-Washizu, assumed strain, axisymmetry
in
International Journal for Numerical Methods in Engineering
volume
71
issue
2
pages
175 - 200
publisher
John Wiley & Sons
external identifiers
  • wos:000247983300003
  • scopus:34447134395
ISSN
1097-0207
DOI
10.1002/nme.1939
language
English
LU publication?
yes
id
c86e34f8-0b33-45a2-8e2a-93313140c955 (old id 648089)
date added to LUP
2007-12-10 14:17:16
date last changed
2017-01-01 05:08:35
@article{c86e34f8-0b33-45a2-8e2a-93313140c955,
  abstract     = {Based on the assumed strain method, a simple four-node axisymmetric solid element is introduced. The assumed strain field is carefully selected to preserve the correct rank of the element stiffness matrix and to achieve high accuracy. The strain field is developed in conjunction with orthogonal projections and no matrix inversions are needed. The coarse mesh accuracy in bending and in typical axisymmetric load cases is excellent even for nearly incompressible materials. The strain-driven format obtained is well suited for materials with non-linear stress-strain relations. Several numerical examples are presented where the excellent performance of the proposed simple element is verified. Copyright (C) 2006 John Wiley & Sons, Ltd.},
  author       = {Fredriksson, Magnus and Ottosen, Niels Saabye},
  issn         = {1097-0207},
  keyword      = {stabilization,quadrilateral,Hu-Washizu,assumed strain,axisymmetry},
  language     = {eng},
  number       = {2},
  pages        = {175--200},
  publisher    = {John Wiley & Sons},
  series       = {International Journal for Numerical Methods in Engineering},
  title        = {Simple and accurate four-node axisymmetric element},
  url          = {http://dx.doi.org/10.1002/nme.1939},
  volume       = {71},
  year         = {2007},
}