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Correlation between jerky flow and jerky dynamics in a nanoscratch on a metallic glass film

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Abstract

Chaos has been well understood in dynamic system, however, how the chaotic behavior occur in jerky flow in material, is still not clear, and is lack of specific chaotic attractor. Here the jerky evolution of lateral force and the stair-like fluctuation of lateral displacement are observed for Ni62Nb38(at.%) metallic glass film during nanoscratch process. This jerky flow is investigated by using the largest Lyapunov exponent, Kolmogorov entropy and fractal dimension, and chaotic behavior of lateral force-time and normal displacement-lateral displacement sequences is verified. In addition to time series analysis, it is found that jerk equation can be used to describe the jerky flow of the metallic-glass film during nanoscratch. More importantly, unambiguous chaotic attractor is presented by jerky dynamics using “jerk”-singularities, namely the total change rate of lateral force relative to scratch time. These reveal an inner connection between jerky flow and jerky dynamics in nanoscratch of a metallic-glass film.

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Authors and Affiliations

  1. Henan Academy of Big Data, Zhengzhou University, Zhengzhou, 450052, China

    LiPing Yu, JingLi Ren & XiaoXiang Guo

  2. College of Science, Henan University of Technology, Zhengzhou, 450001, China

    LiPing Yu

  3. Laboratory for Microstructures, Institute of Materials, Shanghai University, Shanghai, 200444, China

    DongXue Han & Gang Wang

  4. School of Materials Science and Engineering, Zhengzhou University, Zhengzhou, 450001, China

    ShaoKang Guan

Authors
  1. LiPing Yu
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  2. DongXue Han
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  3. JingLi Ren
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  4. XiaoXiang Guo
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  5. ShaoKang Guan
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  6. Gang Wang
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Corresponding authors

Correspondence to JingLi Ren or Gang Wang.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51925103, 11771407, 51761135125, and 51671120), the China Postdoctoral Science Foundation (Grant No. 2019M651600), the Research Foundation for Advanced Talents of Henan University of Technology (Grant No. 2018BS027), and the 111 Project (Grant No. D16002).

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Yu, L., Han, D., Ren, J. et al. Correlation between jerky flow and jerky dynamics in a nanoscratch on a metallic glass film. Sci. China Phys. Mech. Astron. 63, 277011 (2020). https://doi.org/10.1007/s11433-019-1512-x

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  • DOI: https://doi.org/10.1007/s11433-019-1512-x

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