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A crystal plasticity-based constitutive model for ratchetting of cyclic hardening polycrystalline metals

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Abstract

A crystal plasticity-based constitutive model is developed by modifying the second item of Armstrong–Frederick (A–F) nonlinear kinematic hardening rule and introducing self-hardening and latent hardening representing the dislocation interaction between slip systems. With the help of β scale-transition rule, the cyclic stress–strain responses of polycrystalline metals can be obtained from the single crystal constitutive model. Then the developed model is applied to describe the cyclic deformation behavior of a face-centered cubic polycrystalline metal, i.e., 316L stainless steel. The predicted results of the model compared with the experiments of 316L stainless steel show that the model can not only simulate the uniaxial and multiaxial ratchetting of the face-centered cubic crystal material during the asymmetrical stress-controlled cyclic loading, but also describe the cyclic hardening characteristics of materials under symmetrical strain-controlled cyclic loading. Meanwhile, the model is capable of predicting uniaxial ratchetting of different orientations at single crystal scale.

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Acknowledgements

The present work is supported by the National Natural Science Foundation of China (Nos. 11572206, 11472179, U1534204 and 11790282), the Natural Science Foundation of Hebei Province (No. A2016210099), and the Talent Training Foundation Scientific Research Project of Hebei Province (No. A2016002036).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China

    Xuehong Ren, Wenzhao Zhao & Guilin Wen

  2. State Key Laboratory of Mechanical Behavior in Traffic Engineering Structure and System Safety, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Shaopu Yang

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  1. Xuehong Ren
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  2. Shaopu Yang
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  3. Wenzhao Zhao
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  4. Guilin Wen
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Correspondence to Shaopu Yang.

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Ren, X., Yang, S., Zhao, W. et al. A crystal plasticity-based constitutive model for ratchetting of cyclic hardening polycrystalline metals. Int. J. Dynam. Control 8, 1161–1168 (2020). https://doi.org/10.1007/s40435-020-00668-1

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  • DOI: https://doi.org/10.1007/s40435-020-00668-1

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