Uniaxial Ratchetting of 316FR Steel at Room Temperature— Part II: Constitutive Modeling and Simulation

[+] Author and Article Information
N. Ohno, M. Abdel-Karim

Department of Mechanical Engineering, Nagoya University, Chikusa-ku, Nagoya 464-8603, Japan

J. Eng. Mater. Technol 122(1), 35-41 (Oct 01, 1998) (7 pages) doi:10.1115/1.482762 History: Received October 01, 1998
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Chaboche,  J. L., and Nouailhas,  D., 1989, “Constitutive Modeling of Ratchetting Effects, Part I: Experimental Facts and Properties of the Classical Models, Part II: Possibilities of Some Additional Kinematic Rules,” ASME J. Eng. Mater. Technol., 111, No. 4, pp. 384–392; 111, No. 4, pp. 409–416.
Ohno,  N., 1990, “Recent Topics in Constitutive Modeling of Cyclic Plasticity and Viscoplasticity,” Appl. Mech. Rev., 43, No. 11, pp. 283–295.
Ohno,  N., 1998, “Constitutive Modeling of Cyclic Plasticity with Emphasis on Ratchetting,” Int. J. Mech. Sci., 40, No. 2–3, pp. 251–261.
Armstrong, P. J., and Frederick, C. O., 1996. “A Mathematical Representation of the Multiaxial Bauschinger Effect,” CEGB Report RD/B/N731, Berkeley Nuclear Laboratories, Berkeley, UK.
Burlet, H., and Cailletaud, G., 1987, “Modeling of Cyclic Plasticity in Finite Element Codes,” Proceedings of the 2nd International Conference on Constitutive Laws for Engineering Materials: Theories and Applications, Vol. II, Elsevier, New York, pp. 1157–1164.
Freed, A. D., and Walker, K. P., 1990, “Model Development in Viscoplastic Ratchetting,” NASA Report TM-102509, NASA.
Chaboche,  J. L., 1991, “On Some Modifications of Kinematic Hardening to Improve the Description of Ratchetting Effects,” Int. J. Plast., 7, No. 7, pp. 661–678.
Ohno,  N., and Wang,  J.-D., 1993, “Kinematic Hardening Rules with Critical State of Dynamic Recovery, Part I—Formulation and Basic Features for Ratchetting Behavior, Part II—Application to Experiments of Ratchetting Behavior,” Int. J. Plast., 9, No. 3, pp. 375–403.
Ohno,  N., and Wang,  J.-D., 1994, “Kinematic Hardening Rules for Simulation of Ratchetting Behavior,” Eur. J. Mech. A/Solids, 13, No. 4l , pp. 519–531.
McDowell,  D. L., 1994, “Description of Nonproportional Cyclic Ratchetting Behavior,” Eur. J. Mech. A/Solids, 13, No. 5, pp. 593–604.
McDowell,  D. L., 1995, “Stress State Dependence of Cyclic Ratchetting Behavior of Two Rail Steels,” Int. J. Plast., 11, No. 4, pp. 397–421.
Jiang,  Y., and Sehitoglu,  H., 1994, “Cyclic Ratchetting of 1070 Steel under Multiaxial Stress States,” Int. J. Plast., 10, No. 5, pp. 579–608.
Jiang,  Y., and Schitoglu,  H., 1994, “Multiaxial Cyclic Ratchetting under Multiple Step Loading,” Int. J. Plast., 10, No. 8, pp. 849–870.
Jiang,  Y., and Schitoglu,  H., 1996, “Modeling of Cyclic Ratchetting Plasticity, Part I: Development of Constitutive Relations, Part II: Comparison of Model Simulations With Experiments,” ASME J. Appl. Mech., 63, No. 3, pp. 720–733.
Jiang,  Y., and Kurath,  P., 1996, “Characteristics of the Armstrong-Frederick Type Plasticity Models,” Int. J. Plast., 12, No. 2, pp. 387–415.
Wang,  H., and Barkey,  M. E., 1998, “Strain Space Formulation of the Armstrong-Frederick Family of Plasticity Models,” ASME J. Eng. Mater. Technol., 120, No. 3, pp. 230–235.
Ohno,  N., Abdel-Karim,  M., Kobayashi,  M., and Igari,  T., 1998, “Ratchetting Characteristics of 316FR Steel at High Temperature, Part I: Strain-Controlled Ratchetting Experiments and Simulations,” Int. J. Plast., 14, No. 4–5, pp. 355–372.
Kobayashi,  M., Ohno,  N., and Igari,  T., 1998, “Ratchetting Characteristics of 316FR Steel at High Temperature, Part II: Analysis of Thermal Ratchetting Induced by Spatial Variation of Temperature,” Int. J. Plast., 14, No. 4–5, pp. 373–390.
Chaboche,  J. L., and Rousselier,  G., 1983, “On the Plastic and Viscoplastic Constitutive Equations, Part I: Rules Developed With Internal Variable Concept, Part II: Application of Internal Variable Concepts to the 316 Stainless Steel,” ASME J. Pressure Vessel Technol., 105, No. 2, pp. 153–164.
Chaboche,  J. L., 1994, “Modeling of Ratchetting: Evaluation of Various Approaches,” Eur. J. Mech. A/Solids, 13, No. 4, pp. 501–518.
Takahashi, Y., and Tanimoto, K., 1995, “Ratchetting Analysis Pertaining to Fast Breeder Reactor Design,” Proceedings of Plasticity ’95: The Fifth International Symposium on Plasticity and its Current Applications, Gordon and Breach, Luxembourg, pp. 653–656.
Krieg,  R. D., and Krieg,  D. B., 1977, “Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model,” ASME J. Pressure Vessel Technol., 99, No. 4, pp. 510–515.


Grahic Jump Location
Simulation of cyclic tension (Δε=0.4 percent, δεmax=0.01 percent, ε̇=5×10−3 percent/s)
Grahic Jump Location
Simulation of uniaxial ratchetting under the condition of σmax=280 MPa,R=−0.75 and σ̇=10 MPa/s; (a) μi=0, (b) μi=0.02
Grahic Jump Location
Simulation of uniaxial ratchetting under zero-to-tension cyclic loading (σmax=280 MPa,σ̇=10 MPa/s)
Grahic Jump Location
Increase of tensile peak strain under four stress cycling conditions (σmax=280 MPa)
Grahic Jump Location
Influence of parameter μi on uniaxial tensile curve at ε̇=5×10−3 percent/s
Grahic Jump Location
Radial return mapping for numerical integration of Eq. (5)
Grahic Jump Location
Hysteresis loops of back stress α and inelastic strain εp under uniaxial cycling between αmax and αmin; (a) μi=0, (b) 0<μi<1
Grahic Jump Location
Evolution of back stress α and its parts under uniaxial tensile loading (M=3)
Grahic Jump Location
Evolution of αi under uniaxial tensile loading



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In