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TECHNICAL PAPERS

Upsetting of Cylinders: A Comparison of Two Different Damage Indicators

[+] Author and Article Information
H.-P. Gänser

Institute of Mechanics, Montanuniversität Leoben, Leoben, Austriae-mail: gaenser@unileoben.ac.at

A. G. Atkins

University of Reading, Reading, United Kingdom

O. Kolednik

Erich Schmid Institute of Materials Science, Austrian Academy of Science, and Institute of Metal Physics, Montanuniversität Leoben, Leoben, Austria

F. D. Fischer

Christian Doppler Laboratory for Micromechanics of Materials, Institute of Mechanics, Montanuniversität Leoben, Leoben, Austria

O. Richard

Institut Français de Mécanique Avancée, Aubière, France

J. Eng. Mater. Technol 123(1), 94-99 (Feb 15, 2000) (6 pages) doi:10.1115/1.1286186 History: Received May 25, 1999; Revised February 15, 2000
Copyright © 2001 by ASME
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References

Lemaitre, J., 1992, A Course on Damage Mechanics, Springer-Verlag, Berlin.
Gurson,  A. L., 1977, “Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Materials,” ASME J. Eng. Mater. Technol., 99, pp. 2–15.
Zhu, Y. Y., Cescotto, S., and Habraken, A. M., 1995, “Modelling of Fracture Initiation in Metalforming Processes,” Ghosh, S. K., and Predeleanu, M., eds, Materials Processing Defects, Elsevier, Amsterdam, pp. 155–179.
Atkins, A. G., 1997, “Fracture Mechanics and Metalforming: Damage Mechanics and the Local Approach of Yesterday and Today,” H. P. Rossmanith, ed., Fracture Research in Retrospect, Balkema, Rotterdam, pp. 327–350.
Gouveia,  B. P. P. A., Rodrigues,  J. M. C., and Martins,  P. A. F., 1996, “Fracture Predicting in Bulk Metal Forming,” Int. J. Mech. Sci., 38, pp. 361–372.
Wifi, A. S., El-Abbasi, N., and Abdel-Hamid, A., 1995, “A Study of Workability Criteria in Bulk Forming Processes,” Ghosh, S. K., and Predeleanu, M., eds, Materials Processing Defects, Elsevier, Amsterdam, pp. 333–357.
Oyane,  M., 1972, “Criteria of Ductile Fracture Strain,” Bull. JSME, 15, pp. 1507–1513.
Cockroft,  M. G., and Latham,  D. J., 1968, “Ductility and the Workability of Metals,” J. Inst. Met., 96, pp. 33–39.
McClintock,  F. A., 1968, “A Criterion for Ductile Fracture by the Growth of Holes,” ASME J. Appl. Mech., 35, pp. 363–371.
Rice,  J. R., and Tracey,  D. M., 1969, “On the Ductile Enlargement of Voids in Triaxial Stress Fields,” J. Mech. Phys. Solids, 17, pp. 201–217.
Nadai, A., and Wahl, A. M., 1931, Plasticity, McGraw-Hill, New York.
Bridgman, P. W., 1952, Studies in Large Plastic Flow and Fracture, McGraw-Hill, New York.
Atkins,  A. G., 1981, “Possible Explanation for Unexpected Departures in Hydrostatic Tension-Fracture Strain Relations,” Met. Sci., 15, pp. 81–83.
Hancock,  J. W., and Mackenzie,  A. C., 1976, “On the Mechanisms of Ductile Failure in High-Strength Steels Subjected to Multi-Axial Stress-States,” J. Mech. Phys. Solids, 24, pp. 147–169.
Gunawardena,  S. R., Jansson,  S., and Leckie,  F. A., 1993, “Modeling of Anisotropic Behavior of Weakly Bonded Fiber Reinforced MMC’s,” Acta Metall. Mater., 41, pp. 3147–3156.
Kudo,  H., and Aoi,  K., 1967, “Effect of Compression Test Condition upon Fracturing of a Medium Carbon Steel,” J. Jpn. Soc. Technol. Plasticity, 8, pp. 17–27.
Kuhn, H. A., 1988, “Workability Theory and Application in Bulk Forming Processes,” Metals Handbook, Vol. 14, pp. 388–404.
Dodd, B., and Bai, Y., 1987, Ductile Fracture and Ductility, Academic Press, London.
Thomason, P. F., 1990, Ductile Fracture of Metals, Pergamon Press, Oxford.
Wierzbicki,  T., and Werner,  H., 1998, “Cockroft and Latham Revisited,” Impact & Crashworthiness Laboratory Report Nr. 16, Massachusetts Institute of Technology.
Norris,  D. M., Reaugh,  J. E., Moran,  B., and Quiñones,  D. F., 1978, “A Plastic-Strain, Mean-Stress Criterion for Ductile Fracture,” ASME J. Eng. Mater. Technol., 100, pp. 279–286.
Fischer,  F. D., Kolednik,  O., Shan,  G. X., and Rammerstorfer,  F. G., 1995, “A Note on Calibration of Ductile Failure Damage Indicators,” Int. J. Fract., 73, pp. 345–357.
Arndt, J., 1997, Experimentelle und rechnerische Untersuchungen zur Schädigung von Baustählen bei duktilem Versagen (Berichte aus dem Institut für Eisenhüttenkunde der RWTH Aachen Bd. 3/97), Shaker Verlag, Aachen.
Gänser, H.-P., 1998, “Free-Surface Ductility in Bulk Forming Processes,” A. S. Khan, ed., Constitutive and Damage Modeling of Inelastic Deformation and Phase Transformation, Proceedings of Plasticity ’99, Neat Press, Fulton, ML, pp. 341–344.

Figures

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Experimental fracture lines for the compression of cylindrical specimens. After Kudo and Aoi 16, from Atkins 13.
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Finite element model. The strain paths and the damage indicators are monitored at point “A,” (a) undeformed state, (b) deformed state.
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Different strain paths, measured at point “A,” obtained by variation of the geometry H/D and of the friction coefficient μ. The data of the reference geometry H/D=1 are shaded.
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Hydrostatic stress at point A as a function of the equivalent strain for different values of the friction coefficient μ, for the reference geometry H/D=1
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Failure lines obtained by the Hancock–Mackenzie damage indicator D1(R=1.5). Influence of the calibration parameter ε0, for the reference geometry H/D=1 and different friction coefficients (dotted lines represent the strain paths).
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Failure lines obtained by the Hancock–Mackenzie damage indicator D1(R=2). Influence of the calibration parameter ε0, for the reference geometry H/D=1 and different friction coefficients (dotted lines represent the strain paths).
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Failure lines obtained by the Atkins damage indicator D3. Influence of the parameters c and c1, for the reference geometry H/D=1 and different friction coefficients (dotted lines represent the strain paths).
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Failure line obtained from the Hancock–Mackenzie damage indicator D1 using the parameters R=2,ε0=0.5 (dotted lines represent the strain paths)
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Failure line obtained from the Atkins damage indicator D3, using the parameters c=0.3,c1=3 (dotted lines represent the strain paths)
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Failure points obtained from micromechanical simulations using a tensile instability criterion in hoop direction (Gänser 24). A result for εz=0, although not obtainable by the upsetting of cylinders, is also included. Note that the failure points do not lie exactly on a straight line. Also shown are a least square line fit, line “a,” and a fit for a slope of −0.5, line “b” (dotted lines represent the strain paths).

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