Acta Mechanica

, Volume 69, Issue 1–4, pp 139–165 | Cite as

A computational comparison of the inelastic constitutive models of hart and miller

  • G. Hartmann
  • F. G. Kollmann
Contributed Papers
Received:

Summary

The uniaxial response behavior of Hart's and Miller's nonelastic constitutive equations is compared. These models have been selected because they are fully developed and have been applied on the uniaxial nonelastic response behavior of different materials. Among these for stainless steel AISI 316 the complete set of material parameters for both models has been published. Based on these parameter sets a comparison of both models is performed including monotonic strain controlled tensile tests, creep tests, load relaxation tests and cyclic tests. The predictions of both models are compared with available experimental data.

Both models can not describe the whole range of experimental data. For Hart's model one essential flow parameter had to be adjusted to obtain a reasonable simulation of creep experiments. Further it gives unrealistic predictions for strain cycling. The incorporation of a so-called negative strain rate sensitivity severly restricts the practical applicability of Miller's model. Additionally in the high temperature regime the response curves for load relaxation tests deviate considerably from the experimentally observed ones at low strain rates. Both models have to be improved for practical applications.

Keywords

Strain Rate Sensitivity Response Behavior Strain Cycling Creep Experiment Steel AISI 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Hart, E. W.: Constitutive relations for the non-elastic deformation of metals. Trans. ASME, J. Eng. Mat. Technol.98, 193–202 (1976).Google Scholar
  2. [2]
    Krieg, D. R.: A physically based internal variable model for rate-dependent plasticity. In: Inelastic behavior of pressure vessels and piping components (Chang, T. Y., Krempl, E., eds.), pp. 15–28. American Society of Mechanical Engineers. New York (1978).Google Scholar
  3. [3]
    Miller, A. K.: An inelastic constitutive model for monotonic, cyclic and creep deformation: Part 1—Equations development and analytical procedures. Trans. ASME, J. Eng. Mat. Technol.98, 97–105 (1976).Google Scholar
  4. [4]
    Miller, A. K.: An inelastic constitutive model for monotonic, cyclic and creep deformation: Part 2—Application to type 304 stainless steel. Trans. ASME, J. Eng. Mat. Technol.98, 106–113 (1976).Google Scholar
  5. [5]
    Robinson, D. N.: A candidate creep-recovery model for 2-1/4Cr-1 Mo steel and its experimental implementation. Oak Ridge National Laboratory, Report ORNL-TM-5110 (1975).Google Scholar
  6. [6]
    Kumar, V., Mukherjee, S., Huang, F. H., Li, C. Y.: Deformation in type 304 austenitic stainless steel. EPRI NP-1276, Final Report, Electric Power Research Institute. Palo Alto, California 1979.Google Scholar
  7. [7]
    Oldberg, S. Miller, A., Lucas, G. E.: Advances in understanding and predicting inelastic deformation in zircaloy, zirconium in the nuclear industry (Fourth conference) ASTM STP 681, pp. 370–389. American Society for Testing and Materials (1979).Google Scholar
  8. [8]
    Tanaka, G. T.: An unified numerical method for integrating stiff time-dependent constitutive equations for elastic/viscoplastic deformation of metals and alloys. Ph. D. Dissertation, Stanford University, Dept. of Mat. Sc. and Eng. 1983.Google Scholar
  9. [9]
    Cordts, D., Kollmann, F. G.: An implicit time integration scheme for inelastic constitutive equations with internal state variables. Int. J. Num. Meth. Eng.23, 533–554 (1986).Google Scholar
  10. [10]
    Wire, G. L., et al.: A state variable analysis of inelastic deformation of thin walled tubes. Trans. ASME, J. Eng. Mat. Technol.103, 305–325 (1981).Google Scholar
  11. [11]
    Schmidt, C. G., Miller, A. K.: An unified phenomenological model for nonelastic deformation of type 316 stainless steel, Part I and II. Res. Mechanica3, 109–129, 175–193 (1981).Google Scholar
  12. [12]
    Miller, A. K.: An unified phenomenological model for the monotonic, cyclic and creep deformation of strongly work hardening materials. Ph. D. dissertation, Stanford University, Dept. of Mat. Sc. and Eng. (1975).Google Scholar
  13. [13]
    Miller, A., Sherby, O. D.: Development of the materials code MATMOD, Report No. EPRI-NP-567, Final report, December (1977).Google Scholar
  14. [14]
    Miller, A. K.: Personal Communication (1986).Google Scholar
  15. [15]
    Barnby, J. T., Peace, E. M.: The effect of carbides on the high strain fatique resistance of an austenitic steel. Acta Met.19, 1351–1358 (1971).Google Scholar
  16. [16]
    Huang, F. M., Ellis, F. V., Li, C. Y.: Comparison of load relaxation data of Type 316 austenitic stainless steel with Hart's deformation model. Met. Trans.8 A, 699–704 (1977).Google Scholar
  17. [17]
    Hart, E. W.: Personal communication (1986).Google Scholar
  18. [18]
    Thomas, J. F., Yaggee, F. L.: Stress relaxation in solution annealed and 20 pct coldworked type 316 stainless steel. Met. Trans.6 A, 1835–1837 (1975).Google Scholar
  19. [19]
    Streichen, J. M.: High strain rate tensile properties of 20% cold worked type 316 stainless steel. Handford Engineering Development Laboratory, HEDL-TME-74-39 (1974).Google Scholar
  20. [20]
    Wire, G. L., Cannon, N. S., Johnson, G. D.: Prediction of transient mechanical response of type 316 SS cladding using an equation of state approach. J. Nucl. Mat.82, 317–328 (1979).Google Scholar
  21. [21]
    Fahr, D.: Analysis of stress-strain behavior of type 316 stainless steel. Report ORNLTM-4292. Oak Ridge, National Laboratory (1973).Google Scholar
  22. [22]
    Gilbert, E. R., Blackburn, L. D.: Creep deformation of cold worked type 316 stainless steel. Hanford Engineering Development Laboratory, HEDL-SA-864 (1976).Google Scholar
  23. [23]
    Kollmann, F. G.: Time integration of stiff inelastic constitutive models. Proc. Int. Conf. Comp. Mech., May 25–29, 1986, Tokyo (Yagawa, G., Atluri, S. N., eds.), Vol. 1, p.IV-17–IV-24. Tokyo-Berlin-Heidelberg-New York: SPringer 1986.Google Scholar
  24. [24]
    Delph, T. J.: A comparative study of two state-variable constitutive theories. J. Eng. Mat. Technol., Trans. ASME102, 327–336 (1981).Google Scholar
  25. [25]
    Walker, K. P.: Research and development program for nonlinear structural modeling with advanced time-dependent constitive relationships. NASA-Report No. CR-165533 (1981).Google Scholar
  26. [26]
    Hartmann, G.: Report to Deutsche Forschungsgemeinschaft (unpublished), Technische Hochschule Darmstadt (1985).Google Scholar
  27. [27]
    Kubin, L. P., Estrin, Y.: The Portevin-Le Chatelier effect in deformation with constant stress rate, Acta Met.33, 397–407 (1985).Google Scholar
  28. [28]
    Yamada, H., Yaggee, F. L., Thomas, J. F.: Plastic deformation of 20% cold-worked type 316 stainless steel at elevated temperature. In: Proceedings 2nd International Conference on Mechanical Behavior of Materials. Boston, Mass. August 16–20, 1976, pp. 68–72. American Society for Metals (Publisher): Metals Park, Ohio (1976).Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • G. Hartmann
    • 1
  • F. G. Kollmann
    • 1
  1. 1.Fachgebiet Maschinenelemente und GetriebeTechnische Hochschule DarmstadtDarmstadtFederal Republic of Germany

Personalised recommendations