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TECHNICAL PAPERS

Procedure for the Determination of True Stress-Strain Curves From Tensile Tests With Rectangular Cross-Section Specimens

[+] Author and Article Information
I. Scheider, W. Brocks, A. Cornec

GKSS-Forschungszentrum Geesthacht, Postfach 1160, D-21494 Geesthacht

J. Eng. Mater. Technol 126(1), 70-76 (Jan 22, 2004) (7 pages) doi:10.1115/1.1633573 History: Received December 19, 2001; Revised August 28, 2003; Online January 22, 2004
Copyright © 2004 by ASME
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References

Bridgman, P.W., 1952, Studies in Large Plastic Flow, McGraw Hill, New York.
Ling, Y., 1996, “Uniaxial True Stress-Strain After Necking,” AMP J. Technology, 5 , pp. 37–48.
Zhang,  Z.L., Hauge,  M., Odegard,  J., and Thaulow,  C., 1999, “Determining Material True Stress-Strain Curve From Tensile Specimens With Rectangular Cross Section,” Int. J. Solids Struct., 36, pp. 3497–3516.
Zhang, Z.L., Odegard, J., and Thaulow, C., 2000, “Novel Methods for Determining True Stress Strain Curves of Weldments and Homogenous Materials,” Proc. 13th European Conference on Fracture Mechanics, M. Fuentes, M. Elices, J.M.M. Esnaolo, and A.M. Meizoso, eds., Elseveier Sc. Ltd.
ASTM E8, 1999, Standard Test Methods for Tension Testing of Metallic Materials, American Society for Testing and Materials, West Conshohocken, PA.
Kocak, M., Cam, G., Riekehr, S., Torster, F., and Dos Santos, J., 1998, “Microtensile test techniques for weldments,” in Weld Mis-match effect, IIW Doc. SC X-F, no. 079–98.
ABAQUS, 2002, ABAQUS User’s manual, Version 6.3 Hibbit, Karlson and Sorensen, Inc., 1080 Main Street, Pawtucket, RI.
Kieselstein, E., Seiler, B., and Dost, M., 1999, “DAC-Deformation Analysis by Correlation,” in Material Mechanics-Fracture Mechanics-Micro Mechanics, T. Winkler and A. Schubert, eds., Berlin/Chemnitz.
Vogel, D., Kieselstein, E., Dost, M., and Michel, B., 1996, “Novel Experimental Methods for High Resolutions Analysis by Means of Correlation-Based Algorithms,” Int. Symp. on Local Strain and Temperature Measurements in non-uniform Fields at Elevated Temperatures, Berlin.
Cornec, A., Scheider, I., 2001, “Modellierungskonzept für die Versagensbewertung von Laser-schweiβverbindungen/Failure Assessment of Laser Weldments Based on Numerical Modeling,” Mat.-wiss. u. Werkstofftech., 32 , pp. 316–328.

Figures

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Cross section of the minimum area plane after occurance of local necking. Dark gray: the undeformed cross section area with finite element mesh. t,b are measurable quantities.
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Geometry and size of the investigated rectangular shaped specimens
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Finite element mesh of the rectangular tensile specimen
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Correction function frectcorr for different material laws
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Fitting of the two remaining parameters ε̄1 and ε̄2 to the results of the simulation for each material law
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Comparison between the material input and the approximation with and without the correction function. The solid lines refer to the input, the squares are the results of Eq. (24), the dash-dotted lines are the calculations with frectcorr=1. The validity limits are given in Table 1.
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Approximations of the stress-strain curve proposed by 10. Solid lines denote the material input for the calculations, the dashed lines denote the approximations produced by Zhang’s method.
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Schematic drawing of the specimen including the loading pins and holder
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Load–elongation curve of the small rectangular tensile specimen from base metal
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Moving mesh of sampling points for the displacment evaluation, close to failure of the specimen
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Fine mesh of sampling points in the area of local necking for the evaluation of width reduction and strain at the necking center: (a) in the initial state; and (b) close to failure of the specimen.
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Comparison of the load-width reduction curve between experiment and simulation
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Stress-strain curve of a structural steel, obtained from tests and simulation of small rectangular specimens and from tested round tensile bars

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