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TECHNICAL PAPERS

The Modeling of Unusual Rate Sensitivities Inside and Outside the Dynamic Strain Aging Regime

[+] Author and Article Information
Kwangsoo Ho, Erhard Krempl

Mechanics of Materials Laboratory, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

J. Eng. Mater. Technol 123(1), 28-35 (Dec 26, 2000) (8 pages) doi:10.1115/1.1286233 History: Received July 08, 1999; Revised December 26, 2000
Copyright © 2001 by ASME
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References

Pugh, C. E., Liu, C. K., et al., 1972, Currently recommended constitutive equations for inelastic design analysis of FFTF components, ORNL-TM-3602, Oak Ridge National Laboratory, Sept.
Krausz, A., and Krausz, K., 1996, Unified Constitutive Laws of Plastic Deformation, San Diego, Academic Press.
Mulford,  R. A., and Kocks,  U. F., 1979, “New observations on the mechanisms of dynamic strain aging and of jerky flow,” Acta Metall., 27, pp. 1125–1134.
Kishore,  R., Singh,  R. N., , 1997, “Effect of dynamic strain aging on the tensile properties of a modified 9Cr-1Mo steel,” J. Mater. Sci., 32, pp. 437–442.
Miller,  A. K., and Sherby,  O. D., 1978, “A simplified phenomenogical model for non-elastic deformation: Predictions of pure Aluminum behavior and incorporation of solute strengthening effects,” Acta Metall., 26, pp. 289–304.
Ruggles,  M. B., and Krempl,  E., 1989, “The influence of test temperature on the ratchetting behavior of Type 304 Stainless Steel,” ASME J. Eng. Mater. Technol., 111, pp. 378–383.
Rao,  K. B. S., Castelli,  M. G., , 1997, “A critical assessment of the mechanistic aspects in Haynes-188 during low-cycle fatigue in the range of 25 to 1000 C,” Metall. Mater. Trans. A, 28A, p. 347.
Ho, K., 1998, “Application of the viscoplasticity theory based on overstress to the modeling of dynamic strain aging of metals and to solid polymers, specifically Nylon 66,” Ph.D. thesis, Rensselaer Polytechnic Institute, Mech. Eng. Aeronaut. Eng. Mech.
Nakamura,  T., 1998, “Application of viscoplasticity theory based on overstress (VBO) to high temperature cyclic deformation of 316 FR steel,” JSME Int. J., Ser. A, 41, pp. 539–546.
Yaguchi,  M. and Takahashi,  Y., 1999, “Unified inelastic constitutive model for modified 9Cr-1Mo steel incorporating dynamic strain aging effect,” JSME Int. J., Ser. A, 42, pp. 1–10.
Estrin, Y., 1996, Dislocation-Density-Related Constitutive Modeling, Unified Constitutive Laws of Plastic Deformation, Krausz, A. S., and Krausz, K., eds., Academic Press, San Diego, CA, pp. 69–106.
Henshall, G. A., Helling, D. E., et al., 1996, Improvements in the MATMOD Equations for Modeling Solute Effects and Yield-Surface Distortion, Unified Constitutive Laws of Plastic Deformation, Krausz, A. S., and Krausz, K., eds., Academic Press, San Diego, CA, pp. 153–227.
Ho, K., and Krempl, E., 1998, “Modeling of rate independence and of negative rate sensitivity using the viscoplasticity theory based on overstress (VBO),” in press, Mechanics of Time-Dependent Materials.
Ho, K., and Krempl, E., 1999, “Extension of the viscoplasticity theory based on overstress (VBO) to capture nonstandard rate dependence in solids,” in press, Int. J. Plast.
Tachibana,  Y., and Krempl,  E., 1998, “Modeling of high homologous temperature deformation behavior using the viscoplasticity theory based on overstress (VBO): Part III-A simplified model,” ASME J. Eng. Mater. Technol., 120, pp. 193–196.
Krempl,  E., and Kallianpur,  V. V., 1985, “The uniaxial unloading behavior of two engineering alloys at room temperature,” ASME J. Appl. Mech., 52, pp. 654–658.
Krempl,  E., and Nakamura,  T., 1998, “The influence of the equilibrium growth law formulation on the modeling of recently observed relaxation behaviors,” JSME Int. J., Ser. A, 41, pp. 103–111.
Cernocky,  E. P. and Krempl,  E., 1979, “A nonlinear uniaxial integral constitutive equation incorporating rate effects, creep and relaxation,” Int. J. Non-Linear Mech., 14, pp. 183–203.
Krempl, E., 1996, A Small Strain Viscoplasticity Theory Based on Overstress, Unified Constitutive Laws of Plastics Deformation, Krausz, A., and Krausz, K., eds., Academic Press, San Diego, pp. 281–318.
Yaguchi, M., and Takahashi, Y., 1997, Inelastic Behavior of Modified 9Cr-1Mo Steel and Its Description by constitutive Model Considering Dynamic Strain Aging, 14th International Conference on Structural Mechanics in Reactor Technology, Lyon, France.
Kalk,  A. and Schwink,  C. H., 1995, “On dynamic strain aging and the boundaries of stable plastic deformation studied on Cu-Mn polycrystals,” Philos. Mag., 72A, pp. 315–399.
Choi, S. H., 1989, “Modeling of time-dependent mechanical deformation behavior of metals and alloys using the viscoplasticity theory based on overstress,” Ph.D. thesis, Rensellaer Polytechnic Institute, Mech. Eng., Aeronaut. Eng. Mech.
Majors,  P. S. and Krempl,  E., 1994, “The isotropic viscoplasticity theory based on overstress applied to the modeling of modified 9Cr-1Mo steel at 538C,” Mater. Sci. Eng., A186, pp. 23–34.
Maciucescu,  L., Sham,  T.-L., , 1999, “Modeling the deformation behavior of a Pn-Pb solder alloy using the simplified viscoplasticity theory based on overstress (VBO),” ASME J. Electron. Packag., 121, pp. 92–98.

Figures

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Strain rate sensitivity and relaxation behavior of modified 9Cr-1Mo steel as a function of temperature, from Yaguchi and Takahashi 10
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Positive rate sensitivity, β=0.2. The stress together with the equilibrium and the kinematic stresses are plotted. The dashed and solid curves are for strain rates of 10−6 1/s and 10−3 1/s, respectively.
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Zero rate sensitivity, β=−1. The stress together with the equilibrium and the kinematic stresses are plotted. The dashed and solid curves are for strain rates of 10−6 1/s and 10−3 1/s, respectively.
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Negative rate sensitivity, β=−1.2. The stress together with the equilibrium and the kinematic stresses are plotted. The dashed and solid curves are for strain rates of 10−6 1/s and 10−3 1/s, respectively.
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Simulation of stress-strain curves showing negative strain rate sensitivity at 200°C, data from Fig. 1
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Simulation of relaxation behavior at 200°C, data are from Fig. 1
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Simulation of stress-strain curves showing zero rate sensitivity at 400°C; compare with Fig. 5 of Yaguchi and Takahashi 10
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Simulation of relaxation behavior at 400°C; compare with Fig. 6 of Yaguchi and Takahashi 10
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Simulation of stress-strain curves with positive rate sensitivity at 550°C; compare with Fig. 3 of Yaguchi and Takahashi 10
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Simulation of relaxation behavior at 550°C; compare with Fig. 4 of Yaguchi and Takahashi 10
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Simulation of creep behavior at 550°C; compare with Fig. 13 of Yaguchi and Takahashi 19; Yaguchi and Takahashi 10
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Prediction of strain rate change behavior at 550°C; compare with Fig. 12 of Yaguchi and Takahashi 10
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Prediction of strain rate change behavior at 400°C; compare with Fig. 13 of Yaguchi and Takahashi 10

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