General Stress-Strain Equation
Publication: Journal of Materials in Civil Engineering
Volume 9, Issue 4
Abstract
This paper presents a general stress-strain equation that expresses stress explicitly in terms of strain in a single continuous curve. It allows various features such as linear-elastic range, upper yield peak, plastic plateau, and smooth strain-hardening portion to be included. Any of these features can be excluded if desired. The shape of the curve described by the equation is identical, with positive and negative strains. The equation may be fitted to experimental data to represent the stress-strain behavior of a material and is therefore useful for describing experimental results in a succinct format. Comparison with experimental results shows that the equation can closely fit the stress-strain curves of steel at various temperatures—at temperatures where distinct yield peaks and plastic plateaus exit; as well as at temperatures where the stress-strain curves are smooth. Therefore the equation can be suitably extended to accurately model the temperature-dependent behavior of steel.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anderberg, Y. (1983). “Behaviour of steel at high temperatures.”Rep. LUTVDG/(TYBB-3008), Div. of Build. Fire Safety and Technol., Lund Inst. of Technol., Lund, Sweden.
2.
Anderberg, Y. (1988). “Modelling steel behaviour.”Fire Safety. J. 13, 17–26.
3.
Eurocode 3: design of steel structures. Part 1–2: general rules. Structural fire design. (1995). Commission of the European Communities, Brussels, Belgium.
4.
Lie, T. T. (ed.) (1992). “Structural fire protection.”Manuals and Rep. on Engrg. Pract. No. 78, ASCE, New York, N.Y.
5.
Poh, K. W., and Bennetts, I. D.(1995a). “Analysis of structural members under elevated temperature conditions.”J. Struct. Engrg., ASCE, 121(4), 664–675.
6.
Poh, K. W., and Bennetts, I. D.(1995b). “Behavior of steel columns at elevated temperatures.”J. Struct. Engrg., ASCE, 121(4), 676–684.
7.
Poh, K. W., and Skarajew, M. (1995a). “Elevated temperature tensile testing of grade 300PLUSTM hot rolled structural steel.”Rep. No BHPR/SM/R/007, BHP Res.–Melbourne Labs., Melbourne, Australia.
8.
Poh, K. W., and Skarajew, M. (1995b). “Elevated temperature tensile testing of grade 300 welded product structural steel.”Rep. No. BHPR/SM/R/014, BHP Res.–Melbourne Labs., Melbourne, Australia.
9.
Poh, K. W., and Skarajew, M. (1995c). “Elevated temperature tensile testing of grade 400 welded product structural steel.”Rep. No. BHPR/SM/R/024, BHP Res.–Melbourne Labs., Melbourne, Australia.
10.
Ramberg, R. M., and Osgood, W. R. (1943). “Description of stress-strain curves by three parameters.”Tech. Note No. 902, Nat. Advisory Committee for Aeronautics, Washington, D.C.
11.
Richard, R. M., and Abbott, B. J.(1975). “Versatile elastic-plastic stress-strain formula.”J. Engrg. Mech. Div., ASCE, 101(4), 511–515.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 9 • Issue 4 • November 1997
Pages: 214 - 217
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Nov 1, 1997
Published in print: Nov 1997
Authors
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.