Acta Mechanica Sinica

, Volume 31, Issue 2, pp 191–204 | Cite as

Mechanical properties of irradiated multi-phase polycrystalline BCC materials

  • Dingkun Song
  • Xiazi Xiao
  • Jianming Xue
  • Haijian Chu
  • Huiling DuanEmail author
Research paper


Structure materials under severe irradiations in nuclear environments are known to degrade because of irradiation hardening and loss of ductility, resulting from irradiation-induced defects such as vacancies, interstitials and dislocation loops, etc. In this paper, we develop an elastic–viscoplastic model for irradiated multi-phase polycrystalline BCC materials in which the mechanical behaviors of individual grains and polycrystalline aggregates are both explored. At the microscopic grain scale, we use the internal variable model and propose a new tensorial damage descriptor to represent the geometry character of the defect loop, which facilitates the analysis of the defect loop evolutions and dislocation-defect interactions. At the macroscopic polycrystal scale, the self-consistent scheme is extended to consider the multiphase problem and used to bridge the individual grain behavior to polycrystal properties. Based on the proposed model, we found that the work-hardening coefficient decreases with the increase of irradiation-induced defect loops, and the orientation/loading dependence of mechanical properties is mainly attributed to the different Schmid factors. At the polycrystalline scale, numerical results for pure Fe match well with the irradiation experiment data. The model is further extended to predict the hardening effect of dispersoids in oxide-dispersed strengthened steels by the considering the Orowan bowing. The influences of grain size and irradiation are found to compete to dominate the strengthening behaviors of materials.

Graphical Abstract

Comparison of numerical modeling results (solid lines) with experimental results (square lines) for the polycrystalline BCC iron. We develop an elastic–viscoplastic model for irradiated multiphase polycrystalline BCC materials, based on a dislocation-based model at the grain scale, and the self-consistent scheme at the macroscopic scale. This model can be easily applied to predict the hardening behaviors of irradiated multi-phase polycrystalline materials.


Irradiation Self-consistent method  Multi-phase polycrystal Dislocation density 



The authors would like to thank the support provided by the Major State Basic Research Development Program of China (Grant 2011CB013101), and the National Natural Science Foundation of China (NSFC) (Grants 11225208 and 91226202). Duan acknowledges support from the key subject “Computational Solid Mechanics” of the China Academy of Engineering Physics. Chu acknowledges the support provided by the Shanghai Eastern-Scholar Plan and by the State Key Laboratory for Mechanical Behavior of Materials.


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Dingkun Song
    • 1
  • Xiazi Xiao
    • 1
    • 2
  • Jianming Xue
    • 1
    • 2
  • Haijian Chu
    • 3
    • 4
  • Huiling Duan
    • 1
    • 2
    Email author
  1. 1.State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of EngineeringPeking UniversityBeijingChina
  2. 2.CAPT, HEDPS and IFSA Collaborative Innovation Center of MoEPeking UniversityBeijingChina
  3. 3.Department of Mechanics, College of SciencesShanghai UniversityShanghaiChina
  4. 4.Shanghai Institute of Applied Mathematics and MechanicsShanghaiChina

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