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Received: 2003-07-30

Revision Accepted: 2003-09-11

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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.5 P.618-628


Arc-length technique for nonlinear finite element analysis

Author(s):  MEMON Bashir-Ahmed, SU Xiao-zu

Affiliation(s):  Department of Structural Engineering, Tongji University, Shanghai 200092, China

Corresponding email(s):   bashirmemon@sohu.com, xiaozub@online.sh.cn

Key Words:  Arc-length method, Nonlinear analysis, Finite element method, Reinforced concrete, Load-deflection path

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MEMON Bashir-Ahmed, SU Xiao-zu. Arc-length technique for nonlinear finite element analysis[J]. Journal of Zhejiang University Science A, 2004, 5(5): 618-628.

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A1 - MEMON Bashir-Ahmed
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Nonlinear solution of reinforced concrete structures, particularly complete load-deflection response, requires tracing of the equilibrium path and proper treatment of the limit and bifurcation points. In this regard, ordinary solution techniques lead to instability near the limit points and also have problems in case of snap-through and snap-back. Thus they fail to predict the complete load displacement response. The arc-length method serves the purpose well in principle, received wide acceptance in finite element analysis, and has been used extensively. However modifications to the basic idea are vital to meet the particular needs of the analysis. This paper reviews some of the recent developments of the method in the last two decades, with particular emphasis on nonlinear finite element analysis of reinforced concrete structures.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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Open peer comments: Debate/Discuss/Question/Opinion


Sandeep MS<sandeep.ms1986@gmail.com>

2016-01-22 12:46:09

Respected sir I am a research scholar from National Institute of Technology, Calicut, India. I was in search of procedure for doing arc length method to plot the full load deflection response of concrete. This paper will be very helpful for me. If possible please send me the paper.


2014-08-04 21:22:33

Thanks for the paper!!!!


2014-07-22 21:02:46

Arc length method is interesting.

Levon Shahinian@City College<sphere4000@gmail.com>

2014-05-07 22:25:43

Just learning about Arc length and was interested in reading your paper.
much appreciated!

georgios PApapostolou<giorgosp2005@hotmail.com>

2014-05-06 10:10:58

Hi, I am a graduate student at City College of New York and I am doing a project on Arc-Length Method. So, I think your journal will be very helpful



2014-05-03 15:02:58

I am interested to arc length tecnche


2014-04-10 15:52:58

thank you very much

DF@Columbia University<df2472@columbia.edu>

2013-08-22 04:21:38

Thank you!


2013-01-29 01:26:18

thanks so much for the paper

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