TECHNICAL NOTES
Jan 1, 2002

Error Indicator to Assess Quality of Finite-Element Frame Analyses

Publication: Journal of Structural Engineering
Volume 128, Issue 1

Abstract

The purpose of this article is to describe a tool developed in order to equip a finite-element software based on nonlinear beam analysis with an error indicator aimed at measuring discretization errors. The technique is an extension of the error estimate devised by Ladevèze et al. in 1991 in which the finite-element solution is compared to a statically admissible distribution of the generalized stresses. This last distribution is built element by element which is fast and easy to implement. A nonlinear analysis of a single bay frame in static’s is presented as an example.

Get full access to this article

View all available purchase options and get full access to this article.

References

Babuska, I., and Rheinholdt, W. C.(1982). “Computational error estimates and adaptative processes for some nonlinear structural problems.” Comput. Methods Appl. Mech. Eng., 34, 895–937.
Bazant, Z. P., Pan, J., and Pijaudier-Cabot, G.(1987). “Softening in reinforced concrete beams and frames.” J. Struct. Eng. 113(12), 2333–2347.
Carol, I., and Murcia, J.(1989). “Nonlinear time-dependent analysis of planar frames using an “exact” formulation—I. Theory.” Comput. Struct., 33, 79–87.
Dubé, J. F., Pijaudier-Cabot, G., and La Borderie, C.(1996). “Rate dependent damage model for concrete in dynamics.” J. Eng. Mech., 122(10), pp. 939–947.
Huerta, A., and Diez, P.(2000). “Error estimation including pollution assessment for nonlinear finite element analysis.” Comput. Methods Appl. Mech. Eng., 181, 21–411.
Ladevèze, P., Pelle, J. P., and Rougeot, P.(1991). “Error estimation and mesh optimization for classical finite elements.” Eng. Comput., 8, 69–80.
Zienkiewicz, O. C., and Zhu, J. Z.(1987). “A simple error estimator and adaptative procedure for practical engineering analysis.” Int. J. Numer. Methods Eng., 24, 337–357.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 128Issue 1January 2002
Pages: 129 - 132

History

Received: Aug 23, 1999
Accepted: Mar 27, 2001
Published online: Jan 1, 2002
Published in print: Jan 2002

Permissions

Request permissions for this article.

Authors

Affiliations

Shahrokh Ghavamian
LMT-Cachan, ENS Cachan, 61 avenue du Président Wilson, F-94235 Cachan cedex, France.
Gilles Pijaudier-Cabot
R&DO, Laboratoire de Génie Civil de Nantes—Saint Nazaire, Ecole Centrale de Nantes, 1 rue de la Noe, BP 92101, F-44321 Nantes cedex 3, France.
Jacky Mazars
LMT-Cachan, ENS Cachan, 61 avenue du Président Wilson, F-94235 Cachan cedex, France.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share