Skip to main content
Log in

Analysis of Residual Stresses During Heat Treatment of Large Forged Shafts Considering Transformation Plasticity and Creep Deformation

  • Published:
Strength of Materials Aims and scope

The long cooling time during heat treatment of a large forging due to mass effect leads to the creep deformation at not only high temperature but also transformation temperature ranges. Therefore, both the transformation plasticity and the creep together with the phase transformation significantly affect the stress distribution of the forging after the heat treatment. In this study, a FEM model considering both the transformation plasticity and creep was developed. Proposed model was integrated into commercial FEM codes ANSYS via user subroutines. The material properties of the transformation plasticity and creep were also measured experimentally. For experimental verification, the residual stress measurements of the large forged shaft are compared with those of the simulations. The simulations show that the residual stresses were mainly caused by the phase transformation stress. In particular, it is found that both the transformation plastic strain and the creep strain play important roles in simulating the residual stress during heat treatment of a large forged shaft.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.
Fig. 13.
Fig. 14.
Fig. 15.
Fig. 16.

Similar content being viewed by others

References

  1. T. Inoue and Z. Wang, “Coupling between stress-temperature-metallic structures during processes involving phase-transformations,” Mater. Sci. Technol., 1, No. 10, 845–850 (1985).

    Article  Google Scholar 

  2. S. Denis, S. Sjöström, and A. Simon, “Coupled temperature, stress, phase- transformation calculation model numerical illustration of the internal-stresses evolution during cooling of a eutectoid carbon-steel cylinder,” Metall. Trans. A, 18, No. 7, 1203–1212 (1987).

    Article  Google Scholar 

  3. M. Fukumoto, M. Yoshizaki, H. Imataka, et al., “Three-dimensional FEM analysis of helical gear subjected to the carburized quenching process,” J. Soc. Mater. Sci., 50, No. 6, 598–605 (2001).

    Article  Google Scholar 

  4. R. Pietzsch, M. Brzoza, Y. Kaymak, et al., “Simulation of the distortion of long steel profiles during cooling,” J. Appl. Mech., 74, No. 3, 427–437 (2007).

    Article  Google Scholar 

  5. C. Simsir and C. H. Gur, “3D FEM simulation of steel quenching and investigation of the effect of asymmetric geometry on residual stress distribution,” J. Mater. Process. Tech., 207, 211–221 (2008).

    Article  Google Scholar 

  6. C. C. Liu, X. J. Xu, and Z. Liu, “A FEM modeling of quenching and tempering and its application in industrial engineering,” Finite Elem. Anal. Des., 39, No. 11, 1053–1070 (2003).

    Article  Google Scholar 

  7. M. Fukuya, T. Terasaki, H. Imamura, and A. Fujita, “Relation between transient stress and quenching cracks in cylinders generated by quenching,” J. Jpn Soc. Naval Arch. Ocean Eng., 6, 119–129 (2007).

    Google Scholar 

  8. M. Taschauer, G. Panzl, V. Wieser, et al., “New perspectives on heat treatment of large forgings,” in: Proc. of the 19th International Forgemaster Conference, Japan (2014), pp. 1–10.

  9. S. Denis, E. Gautier, A. Simon, and G. Beck, “Stress phase-transformation interactions-basic principles, modeling, and calculation of internal-stresses,” Mater. Sci. Technol., 1, No. 10, 805–814 (1985).

    Article  Google Scholar 

  10. Y. Kawaragi, M. Fukumoto, and K. Okamura, “Effect of implicit integration scheme in residual stress analysis of quenching considering transformation plasticity and kinematic hardening,” J. Soc. Mater. Sci., 64, No. 4, 258–265 (2015).

    Article  Google Scholar 

  11. M. Umemoto, K. Horiuchi, and I. Tamura, “Transformation kinetics of bainite during isothermal holding and continuous cooling,” Tetsu-to-Hagane, 68, No. 3, 461–470 (1982).

    Article  Google Scholar 

  12. G. W. Greenwood and R. H. Johnson, “The deformation of metals under small stresses during phase transformations,” Proc. Roy. Soc. A, 283, 403–422 (1965).

    Article  Google Scholar 

  13. Data Sheets on the Elevated-Temperature Properties of 18Cr-8Ni Stainless Steel for Boiler and Heat Exchanger Seamless Tubes (SUS 304H TB), NRIM Creep Data Sheet, No. 4B (1986).

  14. S. Denis, E. Gautier, S. Sjöström and A. Simon, “Influence of stresses on the kinetics of pearlitic transformation during continuous cooling,” Acta Metall., 35, No. 7, 1621–1632 (1987).

    Article  Google Scholar 

  15. C. C. Liu, K. F. Yao, and Z. Liu, “Quantitative research on effects of stresses and strains on bainitic transformation kinetics and transformation plasticity,” Mater. Sci. Technol., 16, No. 6, 643–647 (2000).

    Article  Google Scholar 

  16. T. Y. Hsu, “Additivity hypothesis and effects of stress on phase transformations in steel,” Curr. Opinion in Solid State and Mater. Sci., 9, No. 6, 256–268 (2005).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. Yanagisawa.

Additional information

Translated from Problemy Prochnosti, No. 2, pp. 36 – 48, March – April, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yanagisawa, Y., Kishi, Y. & Sasaki, K. Analysis of Residual Stresses During Heat Treatment of Large Forged Shafts Considering Transformation Plasticity and Creep Deformation. Strength Mater 49, 239–249 (2017). https://doi.org/10.1007/s11223-017-9863-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11223-017-9863-7

Keywords

Navigation