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TECHNICAL PAPERS

A Simple Model for Stable Cyclic Stress-Strain Relationship of Type 304 Stainless Steel Under Nonproportional Loading

[+] Author and Article Information
Takamoto Itoh

Department of Mechanical Engineering, Fukui University, 9-1, Bunkyo 3-chome, Fukui, 910-8507, Japane-mail: itoh@mech.fukui-u.ac.jp

Xu Chen

Department of Chemical Engng Machinery, Tianjin University, Tianjin, 300072, P. R. China

Toshimitsu Nakagawa, Masao Sakane

Department of Mechanical Engineering, Ritsumeikan University, 1-1-1, Noji-higashi, Kusatsu-shi Shiga, 525-8577, Japan

J. Eng. Mater. Technol 122(1), 1-9 (Feb 05, 1999) (9 pages) doi:10.1115/1.482758 History: Received July 27, 1998; Revised February 05, 1999
Copyright © 2000 by ASME
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References

McDowell, D. L., 1983, “On the Path Dependence of Transient Hardening and Softening to Stable States Under Complex Biaxial Cyclic Loading,” Proc. Int. Conf. on Constitutive Laws for Engng. Mater., Tucson, AZ, Desai and Gallagher, eds., pp. 125–135.
Doong,  S. H., Socie,  D. F., and Robertson,  I. M., 1990, “Dislocation Substructures and Nonproportional Hardening,” ASME J. Eng. Mater. Technol., 112, pp. 456–465.
Itoh,  T., Sakane,  M., Ohnami,  M., and Socie,  D. F., 1995, “Nonproportional Low Cycle Fatigue Criterion for Type 304 Stainless Steel,” ASME J. Eng. Mater. Technol., 117, pp. 285–292.
Socie,  D. F., 1987, “Multiaxial Fatigue Damage Models,” ASME J. Eng. Mater. Technol., 109, pp. 293–298.
Krempl,  E., and Lu,  H., 1983, “Comparison of the Stress Response of an Aluminum Alloy Tube to Proportional and Alternate Axial and Shear Strain Paths at Room Temperature,” Mech. Mater., 2, pp. 183–192.
Itoh,  T., Sakane,  M., Ohnami,  M., and Ameyama,  K., 1992, “Effect of Stacking Fault Energy on Cyclic Constitutive Relation Under Nonproportional Loading,” J. Soc. Mater. Sci. Jpn., 41, No. 468, pp. 1361–1367.
Itoh, T., Sakane, M., Ohnami, M., and Ameyama, K., 1992, “Additional Hardening due to Nonproportional Cyclic Loading—Contribution of Stacking Fault Energy—,” Proceedings of MECAMAT’92, International Seminar on Multiaxial Plasticity, Cachan, France, pp. 43–50.
Itoh, T., Sakane, M., Ohnami, M., and Socie, D. F., 1997, “Nonproportional Low Cycle Fatigue of 6061 Aluminum Alloy Under 14 Strain Paths,” Proceedings of 5th International Conference on Biaxial/Multiaxial Fatigue and Fracture, Cracow, Poland, I. pp. 173–187.
McDowell,  D. L., 1985, “A Two Surface model for Transient Nonproportional Cyclic Plasticity: Part 1: Development of Appropriate Equations,” ASME J. Appl. Mech., 52, pp. 298–302.
McDowell,  D. L., 1985, “A Two Surface Model for Transient Nonproportional Cyclic Plasticity: Part 2: Comparison of Theory with Experiments,” ASME J. Appl. Mech., 52, pp. 303–308.
Krempl,  E., and Lu,  H., 1984, “The Hardening and Rate-Dependent Behavior of Fully Annealed AISI Type 304 Stainless steel Under In-Phase and Out-of-Phase Strain Cycling at Room Temperature,” ASME J. Eng. Mater. Technol., 106, pp. 376–382.
Benallal,  A., and Marquis,  D., 1987, “Constitutive Equations for Nonproportional Cyclic. Elasto-iscoplasticity,” ASME J. Eng. Mater. Technol., 109, pp. 326–336.
McDowell,  D. L., 1987, “An Evaluation of Recent Developments in Hardening and Flow Rules for Rate-Independent, Nonproportional Cyclic Plasticity,” ASME J. Appl. Mech., 54, pp. 323–334.
Chaboche,  J. L., and Nouailhas,  D., 1989, “Constitutive Modeling of Ratchetting Effects, Part I: Experimental Facts and Properties of the Classical Models,” ASME J. Eng. Mater. Technol., 111, pp. 384–392.
Chaboche,  J. L., and Nouailhas,  D., 1989, “Constitutive Modeling of Ratchetting Effects, Part II: Possibilities of Some Additional Kinematic Rules,” ASME J. Eng. Mater. Technol., 111, pp. 409–416.
Doong,  S. H., and Socie,  D. F., 1991, “Constitutive Modeling of Metals Under Nonproportional Loading,” ASME J. Eng. Mater. Technol., 113, pp. 23–30.
Ohno,  N., and Wang,  J. D., 1991, “Nonlinear Kinematic Hardening Rule: Proposition and Application to Ratchetting Problems,” Trans. SMiRT 11, 1, Tokyo , pp. 481–486.
Krieg,  R. D., 1975, “A Practical Two Surface Plasticity Theory,” ASME J. Appl. Mech., 28, pp. 641–646.
Dafalias,  Y. F., and Popov,  E. P., 1976, “Plastic Internal Variables Formalism of Cyclic Plasticity,” ASME J. Appl. Mech., 43, pp. 645–651.
Lamba,  H. S., and Sidebottom,  O. M., 1978, “Cyclic Plasticity for Nonproportional Paths: Part II. Comparison with Prediction of Three Incremental Plasticity Models,” ASME J. Eng. Mater. Technol., 100, pp. 104–112.
Tseng,  N. T., and Lee,  G. C., 1987, “Simple Plasticity Model of Two-Surface Type,” ASCE J. Eng. Mech., 109, pp. 795–810.
Ellyin,  F., and Xia,  Z., 1989, “A Rate-Independent Constitutive Model for Transient Nonproportional Loading,” J. Mech. Phys. Solids, 37, pp. 71–91.
Chen,  X., and Abel,  A., 1996, “A Two-Surface Model Describing Ratchetting Behaviors and Transient Hardening Under Nonproportional Loading,” ACTA Mech. Sin. (English Series), 12, pp. 368–376.
Kida,  S., Itoh,  T., Sakane,  M., Ohnami,  M., and Socie,  D. F., 1997, “Dislocation Structure and Non-proportional Hardening of Type 304 Stainless Steel,” Fatigue Fract. Eng. Mater. Struct., 20, pp. 1375–1386.
Ziegler,  H., 1959, “A Modification of Prager’s Hardening Rule,” Q. Appl. Mech., 7, pp. 55–56.
Mroz,  Z., 1969, “An Attempt to Describe the Behavior of Metals Under Cyclic Loading a More General Workhardening Model,” Acta Mech., 7, pp. 199–212.
Lee,  Y. L., Chiang,  Y. J., and Wong,  H. H., 1995, “A Constitutive Model for Estimating Multiaxial Notch Strains,” ASME J. Eng. Mater. Technol., 117, pp. 33–40.

Figures

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Stable cyclic stress-strain relationship for Case 0, 4, 7, and 10: (a) Case 0, (b) Case 4, (c) Case 7, (d) Case 10
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Stable cyclic stress response for Case 1–13 at Δε=0.8 percent
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Comparison of axial and shear stress ranges between the analysis and experiment; (a) axial stress range, (b) shear stress range
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Comparison of the calculated and experimental effective stress amplitudes: (a) α=0.9, (b) α,fNP=0
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Shape and dimensions of the specimen tested (mm)
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Proportional and nonproportional strain paths
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Two-surface model for superposing the two kinematic hardening rules

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