Abstract
Precisely machined tensile specimens of aluminum-killed steel sheet were used to measure the continuous strain-rate sensitivity,m c, in a series of isothermal tests at different crosshead speeds.m cwas found to be independent of strain and strain rate, in contrast with the “jump” test instantaneous strain sensitivity, mi, which was found to vary strongly with strain rate. A series of matched tensile specimens was also photogridded and deformed at three rates and terminated at four elongations. The strain distributions obtained from these tests were compared with Finite Element Modeling (FEM)—calculated ones based on several strain-rate sensitivity formulations. Comparison of calculations with experiments revealed that the opérant rate sensitivity during tensile localization,m t, was intermediate betweenm candm iat each rate and elongation. Once the effective rate sensitivity was established, detailed predictions of strain distributions and failure elongations agreed very well with experiment. A qualitative model of strain-based stress transients was proposed for both strain-rate and strain-state path changes.
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W. A. Backofen, I. R. Turner, and D. H. Avery:Trans. ASM Q., 1964, vol. 57, p. 980.
D. H. Avery and W. A. Backofen:Trans. ASM Q., 1965, vol. 58, p. 551.
A. Melander:Scr. Metall., 1980, vol. 14, p. 1273.
F. A. Nichols:Acta Metall., 1980, vol. 28, p. 663.
A. K. Ghosh:Trans. ASME H: J. Engrg. Mat. Technol., 1977, vol. 99, p. 264.
S. S. Hecker:Met. Eng. Q., 1974, vol. 14, p. 30.
D. V. Wilson:Met. Technol., 1980, vol. 7, p. 282.
R. Stevenson:Metall. Trans. A, 1980, vol. 11A, p. 1909.
A. S. Korhonen:Proc. 12th Biennial Congress Int. Deep Drawing Res. Group, St. Margherita Ligure, Italy, May 24–28, 1982;Assoc. Italiana di Metallurgia, 1982, p. 191.
T. Nicholas:Exp. Mech., 1981, vol. 21, p. 177.
U. K. Tanaka and T. Nojima:Inst. Phys. Conf. Ser. No. 47, Inst. of Physics, 1979, p. 166.
A. M. Eleiche and J. D. Campbell: “Technical Report AFML-TR-76-90,” Wright-Patterson Air Force Base, OH, 1976.
A. M. Eleiche and J. D. Campbell:Exp. Mech., 1976, vol. 16, p. 281.
J. D. Campbell, A. M. Eleiche, and M. C. C. Tsao:Strength of Metals and Alloys at High Strains and Strain Rates, R. I. Jaffee and B. A. Wilcox, eds., Plenum Press, New York, NY, 1977, p. 545.
M. L. Wilson, R. H. Hawley, and J. Duffy: “National Science Foundation Technical Report NSF ENG 75-1853218,” March 1979, Washington, DC.
J. Klepaczko and J. Duffy: “National Science Foundation Technical Report CME79-23742/2,” February 1981, Washington, DC.
A. M. Eleiche:Exp. Mech., 1981, vol. 20, p. 289.
M. S. Hashmi:J. Strain. Anal., 1980, vol. 15, p. 201.
C. C. Skena: “TMS Paper Selection F80-8,” The Metallurgical Society of AIME, 1980, Warrendale, PA.
A. K. Sachdev and R. H. Wagoner:J. Appl. Metalworking, 1983, vol. 3(1), p. 32.
R. H. Wagoner:Metall. Trans. A, 1981, vol. 12A, p. 877.
J. Winlock:Trans. AIME, 1953, vol. 197, p. 797.
D. A. Chatfield and R. R. Rote: “SAE Paper #740177,” SAE Congress, Feb. 25–Mar. 1, 1974, Detroit, MI.
A. Saxena and D. A. Chatfield: “SAE Paper #760209,” SAE Congress, Feb. 22–27, 1976, Detroit, MI.
H. J. Kleemola and A. J. Ranta-Eskola:Sheet. Met. Ind., 1979, vol. 48, p. 1046.
T. Sawada: “Proc. 12th Biennial Congress Int. Deep Drawing Res. Group,” St. Margherita Ligure, Italy, May 24–28, 1982;Assoc. Italiana di Metallurgia, 1982, p. 159.
A. N. Bramley and P. B. Mellor:J. Strain Anal., 1966, vol. 1, p. 439.
S. Dalela:Precis. Engrg., 1980, vol. 2, p. 13.
A. S. Korhonen and H. J. Kleemola:Metall. Trans. A, 1978, vol. 9A, p. 979.
R. Stevenson:Trans. ASME H: J. Engrg. Mat. Technol., 1981, vol. 103, p. 261.
R. Stevenson: ASTM STP 765:Mechanical Testing for Deformation Model Development, R. W. Rohde and J. C. Swearengen, eds., American Society for Testing and Materials, Philadelphia, PA, 1982, p. 366.
W. C. Leslie and R. J. Sober:Trans. ASM, 1967, vol. 60, p. 459.
A. K. Sachdev:Metall. Trans. A, 1982, vol. 13A, p. 1063.
A. Aran:Scr. Metall., 1979, vol. 13, p. 843.
J. Hedworth and M. J. Stowell:M. Mat. Sci., 1971, vol. 6, p. 1061.
U. F. Kocks:Rate Processes in Plastic Deformation of Materials, J. C. M. Li and A. K. Mukherjee, eds., ASM, Metals Park, OH, 1975, p. 356.
E. W. Hart:Acta Metall., 1970, vol. 18, p. 599.
E. W. Hart:Rate Processes in Plastic Deformation of Materials, J. C. M. Li and A. K. Mukherjee, eds., ASM, Metals Park, OH, 1975, p. 284.
E. W. Hart, C. Y. Li, H. Yamada, and G. L. Wire:Physical Basis of Constitutive Equations, A. S. Argon, ed., MIT Press, Cambridge, MA, 1975, p. 149.
E. W. Hart:Trans. ASME H: J. Engrg. Mat. Technol., 1976, vol. 98, p. 193.
G. Ferron and M. Mliha-Touati:Scr. Metall., 1982, vol. 16, p. 911.
G. Ferron:Scr. Metall., 1983, vol. 17, p. 247.
J. V. Laukonis:Metall. Trans. A, 1981, vol. 12A, p. 467.
R. H. Wagoner and J. V. Laukonis:Metall. Trans. A, 1983, vol. 14A, p. 1487.
R. H. Wagoner:Scr. Metall., 1981, vol. 15, p. 1135.
I. Gupta and J. C. M. Li:Metall. Trans., 1970, vol. 1, p. 2323.
H. Yamada and C.-Y. Li:Acta Metall., 1974, vol. 22, p. 249.
R. H. Wagoner:Experimental Verification of Process Models, C. Chen, ed., ASM, Metals Park, OH, 1983, p. 236.
R. H. Wagoner:Metall. Trans. A, 1981, vol. 12A, p. 71.
J. H. Hollomon:Trans. AIME, 1945, vol. 162, p. 268.
O. Hoffman and G. Sachs:Introduction to the Theory of Plasticity for Engineers, McGraw-Hill, New York, NY, 1953, p. 45.
A. K. Sachdev and J. E. Hunter:Metall. Trans. A, 1982, vol. 13A, p. 1063.
R. Hill:Proc. Roy. Soc., 1949, vol. 198, p. 428.
R. Hill:The Mathematical Theory of Plasticity, Clarendon Press, Oxford, 1950, p. 318.
R. Hill:Math. Proc. Cambridge Phil. Soc., 1979, vol. 85, p. 179.
N.-M. Wang: “A Rigid-Plastic Rate-Sensitive Finite Element Method for Modeling Sheet Metal In-Plane Stretching,” GM Research Report GMR-4079, General Motors Research Laboratories, Warren, MI, June 1982; andNumerical Methods in Industrial Forming Processes, J. F. T. Pittman, R. D. Wood, J. M. Alexander, and O. C. Zienkiewicz, eds., Pineridge Press, Swansea, UK, 1982, p. 797.
R. H. Wagoner:Metall. Trans. A, 1980, vol. 11A, p. 165.
R. H. Wagoner:Metall. Trans. A, 1982, vol. 13A, p. 1491.
H. Mecking and K. Lücke:Scr. Metall., 1970, vol. 4, p. 427.
F. Fröhlich and P. Grau:Phys. Stat. Sol. (A), 1972, vol. 14, p. 115.
G. Schoeck and B. Wielke:Scr. Metall., 1976, vol. 10, p. 771.
B. Wielke:Acta Metall., 1978, vol. 26, p. 103.
B. Wielke and G. Schoeck:Scr. Metall., 1978, vol. 12, p. 655.
Z. S. Basinski, P. J. Jackson, and M. S. Duesbery:Phil. Mag., 1977, vol. 36, p. 255.
S. J. Basinski and Z. S. Basinski:Dislocations in Solids, North-Holland, NY, 1979, pp. 261–362.
P. J. Jackson:Scr. Metall., 1978, vol. 12, p. 653.
Z. S. Basinski and P. J. Jackson:Phys. Stat. Sol., 1965, vol. 9, p. 805.
P. W. Osborne:Acta Metall., 1964, vol. 12, p. 747.
B. V. N. Rao and J. V. Laukonis: GM Research Publication GMR-4028: “Microstructural Mechanism for the Anomalous Tensile Behavior of Aluminum-Killed Steel Prestrained in Plane-Strain Tension,” GM Research Laboratories, Warren, MI, April 6, 1982.
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Formerly Staff Research Scientist, General Motors Research Laboratories.
Formerly Senior Staff Scientist, General Motors Research Laboratories.
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Wagoner, R.H., Wang, N.M. Operant strain-rate sensitivity during tensile necking. Metall Trans A 14, 2395–2406 (1983). https://doi.org/10.1007/BF02663315
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DOI: https://doi.org/10.1007/BF02663315