DISCUSSIONS AND CLOSURES
Nov 15, 2002

Discussion of “Development of Four-Node Membrane Element Containing Central Circular Hole” by A. K. Soh and Z. F. Long

This article is a reply.
VIEW THE ORIGINAL ARTICLE
Publication: Journal of Engineering Mechanics
Volume 128, Issue 12
First page of PDF

Get full access to this article

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

References

Jirousek, J., and Venkatesh, A.(1992). “Hybrid Trefftz plane elasticity elements with p-method capabilities.” Int. J. Numer. Methods Eng., 35, 1443–1472.
Kita, E., and Kamiya, N.(1995). “Trefftz method: An overview.” Adv. Eng. Software, 24, 3–12.
Moorthy, S., and Ghosh, S.(1996). “Model for analysis of arbitrary composite and porous microstructures with Voronoi cell finite elements.” Int. J. Numer. Methods Eng., 39, 2363–2398.
Pian, T. H. H.(1995). “State-of-the-art development of hybrid/mixed finite-element method.” Finite Elem. Anal. Design, 21, 5–20.
Piltner, R. (1982). “Spezielle finite Elemente mit Löchern, Ecken, und Rissen unter Verwendung von analytischen Teillösungen” (Special finite elements with holes, notches, and cracks using analytic solution series), Fortschr.-Ber. VDI-Z, Series 1, No. 96, VDI, Düsseldorf (also available as Doctoral Dissertation, Institute für Mechanik, Ruhr-Universität Bochum).
Piltner, R.(1985a). “Special finite elements with holes and internal cracks.” Int. J. Numer. Methods Eng., 21, 1471–1485.
Piltner, R. (1985b). “Special finite elements for an appropriate treatment of local effects.” Local effects in the analysis of structures, P. Ladeveze, ed., Elsevier Science, Amsterdam.
Piltner, R.(1995). “Recent developments in the Trefftz method for finite element and boundary element applications.” Adv. Eng. Software, 24, 107–115.
Piltner, R. (1997). “Finite elements with holes and cracks.” web page: 〈http://www.unl.edu/emhome/faculty/sub_piltner/piltner_fe2.html〉
Piltner, R.(2001a). “Comments on ‘Development of two-dimensional elements with a central circular hole’ by A. K. Soh and Z. F. Long.” Comput. Methods Appl. Mech. Eng., 191, 503–504.
Piltner, R.(2001b). “Comments on ‘A high precision element with a central circular hole.’ ” Int. J. Solids Struct., 38, 6265–6266.
Soh, A. K., and Long, Z. F.(1999). “A high-precision element with a central circular hole.” Int. J. Solids Struct., 36, 5485–5497.
Soh, A. K., and Long, Z. F.(2000). “Development of two-dimensional elements with a central circular hole.” Comput. Methods Appl. Mech. Eng., 188, 431–440.
Zhang, J., and Katsube, N.(1995). “A hybrid finite-element method for heterogeneous materials with randomly dispersed rigid inclusions.” Int. J. Numer. Methods Eng., 38, 1635–1653.
Zielinski, A. P.(1995). “On trial functions applied in the generalized Trefftz method.” Adv. Eng. Software, 24, 147–155.
Zienkiewicz, O. C., and Taylor, R. L. (1989). The finite-element method, Vol. 1, McGraw-Hill, New York.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 128Issue 12December 2002
Pages: 1349

History

Published online: Nov 15, 2002
Published in print: Dec 2002

Permissions

Request permissions for this article.

Authors

Affiliations

Reinhard Piltner
Dept. of Engineering Mechanics, Univ. of Nebraska–Lincoln, W317.2 Nebraska Hall, Lincoln, NE 68588-0526.

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