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


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.


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



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.


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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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