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BRIEF NOTES

Analysis of the Bridgman Procedure to Characterize the Mechanical Behavior of Materials in the Tensile Test: Experiments and Simulation

[+] Author and Article Information
Diego J. Celentano, Eduardo E. Cabezas, Claudio M. Garcı́a

Departamento de Ingenierı́a Mecánica, Universidad de Santiago de Chile, Av. Bdo. O’Higgins 3363, Santiago, Chile

J. Appl. Mech 72(1), 149-152 (Feb 01, 2005) (4 pages) doi:10.1115/1.1827243 History: Received May 18, 2004; Revised June 17, 2004; Online February 01, 2005
Copyright © 2005 by ASME
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References

Bridgman, P., 1952, Studies in Large Plastic and Fracture, McGraw-Hill, London.
Dieter, G., 1988, Mechanical Metallurgy - SI Metric Edition, McGraw-Hill, London.
Nádai, A., 1950, Theory of Flow and Fracture of Solids, McGraw-Hill, London.
Needleman,  A., 1972, “A Numerical Study of Necking in Circular Cylindrical Bar,” J. Mech. Phys. Solids, 20, pp. 111–127.
Tvergaard,  V., and Needleman,  A., 1984, “Analysis of the Cup-Cone Fracture in a Round Tensile Bar,” Acta Metall., 32, pp. 157–169.
Simo,  J., and Armero,  F., 1992, “Geometrically Non-Linear Enhanced Strain Mixed Methods and the Method of Incompatible Modes,” Int. J. Numer. Methods Eng., 33, pp. 1413–1449.
Tvergaard,  V., 1993, “Necking in Tensile Bars with Rectangular Cross-Section,” Comput. Methods Appl. Mech. Eng., 103, pp. 273–290.
Goicolea, J., Gabaldón, F., and Garcı́a Garino, C., 1996, “Analysis of the Tensile Test Using Hypo and Hyperlastic Models,” (in Spanish) Proceedings of the III Congress on Numerical Methods in Engineering, pp. 875–885.
Celentano,  D., 2002, “Thermomechanical Analysis of the Tensile Test: Simulation and Experimental Validation,” Structural Engineering and Mechanics, 13(6), pp. 591–614.
Cabezas,  E., and Celentano,  D., 2004, “Experimental and Numerical Analysis of the Tensile Test Using Sheet Specimens,” Finite Elem. Anal. Design, 40(5-6), pp. 555–575.
Annual Book of ASTM Standards, 1988, Section 3: Metals Test Methods and Analytical Procedures.

Figures

Grahic Jump Location
Analysis of a copper cylindrical tension specimen. (a) Correction factor versus true deformation. Mean equivalent stress versus equivalent deformation obtained with (b) fBp*=0.10) and (c) fBp*=0.05).
Grahic Jump Location
Analysis of a copper cylindrical tension specimen. (a) Engineering stress-strain relationship. Results at the section undergoing extreme necking: (b) ratio of current to initial diameter versus axial elongation, (c) load versus true deformation, and (d) mean true axial stress vs true deformation.

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