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The nonlinear unloading behavior of a typical Ni-based superalloy during hot deformation: a new elasto-viscoplastic constitutive model

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Abstract

The nonlinear unloading behavior of a typical Ni-based superalloy is investigated by hot compressive experiments with intermediate unloading–reloading cycles. The experimental results show that there are at least four types of unloading curves. However, it is found that there is no essential difference among four types of unloading curves. The variation curves of instantaneous Young’s modulus with stress for all types of unloading curves include four segments, i.e., three linear elastic segments (segments I, II, and III) and one subsequent nonlinear elastic segment (segment IV). The instantaneous Young’s modulus of segments I and III is approximately equal to that of reloading process, while smaller than that of segment II. In the nonlinear elastic segment, the instantaneous Young’s modulus linearly decreases with the decrease in stress. In addition, the relationship between stress and strain rate can be accurately expressed by the hyperbolic sine function. This study includes two parts. In the present part, the characters of unloading curves are discussed in detail, and a new elasto-viscoplastic constitutive model is proposed to describe the nonlinear unloading behavior based on the experimental findings. While in the latter part (Chen et al. in Appl Phys A. doi:10.1007/s00339-016-0385-0, 2016), the effects of deformation temperature, strain rate, and pre-strain on the parameters of this new constitutive model are analyzed, and a unified elasto-viscoplastic constitutive model is proposed to predict the unloading behavior at arbitrary deformation temperature, strain rate, and pre-strain.

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Acknowledgments

This work was supported by National Natural Science Foundation of China (Nos. 51305466, 51375502), National Key Basic Research Program (Grant No. 2013CB035801), State key laboratory of High Performance Complex Manufacturing (No. zzyjkt2014-01), the Project of Innovation-driven Plan in Central South University (No. 2016CX008), the Natural Science Foundation for Distinguished Young Scholars of Hunan Province (Grant No. 2016JJ1017), and Program of Chang Jiang Scholars of Ministry of Education (No. Q2015140), and Key Laboratory of Efficient & Clean Energy Utilization, College of Hunan Province (No. 2015NGQ001), China.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Central South University, Changsha, 410083, China

    Ming-Song Chen, Y. C. Lin & Kuo-Kuo Li

  2. State Key Laboratory of High Performance Complex Manufacturing, Changsha, 410083, China

    Ming-Song Chen, Y. C. Lin & Kuo-Kuo Li

  3. Light Alloy Research Institute, Central South University, Changsha, 410083, China

    Y. C. Lin

  4. School of Energy and Power Engineering, Key Laboratory of Efficient and Clean Energy Utilization, Changsha University of Science and Technology, Changsha, 410114, China

    Jian Chen

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  1. Ming-Song Chen
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Correspondence to Y. C. Lin.

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Chen, MS., Lin, Y.C., Li, KK. et al. The nonlinear unloading behavior of a typical Ni-based superalloy during hot deformation: a new elasto-viscoplastic constitutive model. Appl. Phys. A 122, 869 (2016). https://doi.org/10.1007/s00339-016-0371-6

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