Simple and accurate four-node axisymmetric element
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/648089
- author
- Fredriksson, Magnus LU and Ottosen, Niels Saabye LU
- organization
- publishing date
- 2007
- 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 Inc.
- 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
- 2016-04-01 12:26:13
- date last changed
- 2022-01-27 03:44:02
@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}}, keywords = {{stabilization; quadrilateral; Hu-Washizu; assumed strain; axisymmetry}}, language = {{eng}}, number = {{2}}, pages = {{175--200}}, publisher = {{John Wiley & Sons Inc.}}, 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}}, doi = {{10.1002/nme.1939}}, volume = {{71}}, year = {{2007}}, }