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Relationships between the work recovery ratio of indentation and plastic parameters for instrumented spherical indentation

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Abstract

This paper aims to obtain an analytical expression for the ratio of unloading work of indentation (Wu) to total loading work of indentation (Wt) (work recovery ratio of indentation) in instrumented spherical indentation. The expanding cavity model and Lamé solution are used. Three typical stress–strain relations (elastic-perfectly plastic, linear hardening, and power-law hardening) are analyzed. The results of finite-element method coincide with the expressions. The expressions show that the work recovery ratio of indentation is just related to plastic parameters. Furthermore, elastic work (We) are obtained, and it is proved that We should be distinguished from Wu in spherical indentation.

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Acknowledgments

Authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (Grant Nos. 11025212, 11272318, 11172305, 11302231, 11372323, and 11402233).

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Authors and Affiliations

  1. State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Chang Yu, Rong Yang, Yihui Feng & Yong Huan

  2. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310014, China

    Guangjian Peng & Taihua Zhang

Authors
  1. Chang Yu
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  2. Rong Yang
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  3. Yihui Feng
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  4. Yong Huan
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  5. Guangjian Peng
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  6. Taihua Zhang
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Correspondence to Taihua Zhang.

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Yu, C., Yang, R., Feng, Y. et al. Relationships between the work recovery ratio of indentation and plastic parameters for instrumented spherical indentation. MRS Communications 5, 89–94 (2015). https://doi.org/10.1557/mrc.2015.10

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  • DOI: https://doi.org/10.1557/mrc.2015.10

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