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International Journal of Material Forming

, Volume 12, Issue 2, pp 321–329 | Cite as

A model to describe hardening behavior of Zircaloy-4 tube during cold pilgering process

  • Siying Deng
  • Hongwu SongEmail author
  • Ce Zheng
  • Shihong Zhang
  • Linhua Chu
Original Research
  • 156 Downloads

Abstract

A macroscopic hardening model is proposed to describe the hardening behavior of Zircaloy-4 tube for better modeling of cold pilgering process. The model can describe the deformation under a large strain condition. Model parameters have been obtained from uniaxial tension tests coupled with its corresponding finite element analysis. The difference of force-displacement curve between test and finite element analysis is minimized iteratively through adjusting necking point. In addition, the influence of strain rate and temperature on hardening behavior is also introduced into the hardening model. Finally, the model is utilized for the finite element analysis of cold pilgering process. The predicted results on rolling force and tube dimensions during cold pilgering are compared to experimental ones. The error of rolling force between simulation and experiment is less than 1%. The conical dimension curve (wall thickness/ outer diameter) agrees well with the curves of experimental measurement, which validated the established hardening model.

Keywords

Zircaloy-4 Hardening rule with large strain Strain rate Johnson cook model Cold pilgering 

Notes

Acknowledgements

The author would like to thank Hengfei Gu, Chengze Liu for the help of experimental work.

Compliance with ethical standards

Conflict of interest

The authors declared that they have no conflicts of interest to this work.

References

  1. 1.
    Furugen M, Hayashi C (1984) Application of the theory of plasticity of the cold pilgering of tubes. J Mech Work Technol 10(3):273–286CrossRefGoogle Scholar
  2. 2.
    Huml P, Fogelholm R (1994) Simulation model of cold pilgering. J Mater Process Technol 42(2):167–173CrossRefGoogle Scholar
  3. 3.
    Abe H, Furugen M (2010) Method of evaluating workability in cold pilgering of zirconium alloy tube. Mater Trans 51(7):1200–1205CrossRefGoogle Scholar
  4. 4.
    Abe H, Furugen M (2012) Method of evaluating workability in cold pilgering. J Mater Process Technol 212(8):1687–1693CrossRefGoogle Scholar
  5. 5.
    Abe H, Iwamoto T, Yamamoto Y, Nishida S, Komatsu R (2016) Dimensional accuracy of tubes in cold pilgering. J Mater Process Technol 231:277–287CrossRefGoogle Scholar
  6. 6.
    Aubin J L, Girard E, Montmitonnet P (1994) Modeling of damage in cold pilgering. In: Garde AM, Bradley ER (ed) Zirconium in the nuclear industry: tenth international symposium, ASTM STP 1245, American Society for Testing and Materials, Baltimore, 245–263Google Scholar
  7. 7.
    Mulot S, Hacquin A, Montmitonnet P, Aubin JL (1996) A fully 3D finite element simulation of cold pilgering. J Mater Process Technol 60(1–4):505–512CrossRefGoogle Scholar
  8. 8.
    Montmitonnet P, Logé R, Hamery M, Chastel Y, Doudoux JL, Aubin JL (2002) 3D elastic–plastic finite element simulation of cold pilgering of Zircaloy tubes. J Mater Process Technol 125–126:814–820CrossRefGoogle Scholar
  9. 9.
    Lodej B, Niang K, Montmitonnet P, Aubin JL (2006) Accelerated 3D FEM computation of the mechanical history of the metal deformation in cold pilgering of tubes. J Mater Process Technol 177(1–3):188–191CrossRefGoogle Scholar
  10. 10.
    Barzegar Y, Jafari Nedoushan R, Razazzade A, Farzin M, Banabic D (2016) Finite element modeling of damage evolution in cold pilgering process. Proceedings of the Romanian Academy series a: mathematics physics technical sciences information. Science 17(3):267–276Google Scholar
  11. 11.
    Zhang HQ, Wang XF, Wei BL, Li H (2017) Effect of tooling design on the cold pilgering behavior of zircaloy tube. Int J Adv Manuf Technol 1(15):1–15Google Scholar
  12. 12.
    Azizoğlu Y, Gärdsback M, Sjöberg B, Lindgren LE (2017) Finite element analysis of cold pilgering using elastic roll dies. Proc Eng 207(Supplement C):2370–2375CrossRefGoogle Scholar
  13. 13.
    Sornin D, Pachón-Rodríguez EA, Vanegas-Márquez E, Mocellin K, Logé R (2016) Numerical modeling of tube forming by HPTR cold pilgering process. J Mater Eng Perform 25(9):4059–4069CrossRefGoogle Scholar
  14. 14.
    Vanegas-Márquez E, Mocellin K, Toualbi L, Carlan Y, Logé RE (2012) A simple approach for the modeling of an ODS steel mechanical behavior in pilgering conditions. J Nucl Mater 420(1–3):479–490CrossRefGoogle Scholar
  15. 15.
    Le Saux M, Besson J, Carassou S, Poussard C, Averty X (2008) A model to describe the anisotropic viscoplastic mechanical behavior of fresh and irradiated Zircaloy-4 fuel claddings under RIA loading conditions. J Nucl Mater 378(1):60–69CrossRefGoogle Scholar
  16. 16.
    Le Saux M, Besson J, Carassou S (2015) A model to describe the mechanical behavior and the ductile failure of hydrided Zircaloy-4 fuel claddings between 25 °C and 480 °C. J Nucl Mater 466:43–55CrossRefGoogle Scholar
  17. 17.
    Rickhey F, Kim M, Lee H, Kim N (2015) Evaluation of combined hardening coefficients of Zircaloy-4 sheets by simple shear test. Mater Des 65:995–1000CrossRefGoogle Scholar
  18. 18.
    Limbadri KHN, Maruthi Ram A, Saibaba N, Kutumba Rao VV, Murthy JN, Gupta AK, Singh SK (2017) Development of Johnson cook model for Zircaloy-4 with low oxygen content. Mater Today: Proc 4(2, Part A):966–974Google Scholar
  19. 19.
    Bridgman P (1952) Studies in large plastic and fracture. McGraw-Hill Book Company, LondonzbMATHGoogle Scholar
  20. 20.
    Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Proceedings of the 7th International Symposium on Ballistics. April 19-21, Hague, 541–547Google Scholar
  21. 21.
    Derep JL, Ibrahim S, Rouby R, Fantozzi G (1980) Deformation behaviour of Zircaloy-4 between 77 and 900 K. Acta Metall 28(5):607–619CrossRefGoogle Scholar
  22. 22.
    Pociecha D, Boryczko B, Osika J, Mroczkowski M (2014) Analysis of tube deformation process in a new pilger cold rolling process. Arch Civ Mech Eng 14(3):376–382CrossRefGoogle Scholar

Copyright information

© Springer-Verlag France SAS, part of Springer Nature 2018

Authors and Affiliations

  • Siying Deng
    • 1
    • 2
  • Hongwu Song
    • 1
    Email author
  • Ce Zheng
    • 1
    • 3
  • Shihong Zhang
    • 1
  • Linhua Chu
    • 4
  1. 1.Institute of Metal ResearchChinese Academy of SciencesShenyangChina
  2. 2.School of Materials Science and EngineeringUniversity of Science and Technology of ChinaHefeiChina
  3. 3.University of Chinese Academy of SciencesBeijingChina
  4. 4.State Nuclear Bao Ti Zirconium Industry CompanyBaojiChina

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