Correlation between jerky flow and jerky dynamics in a nanoscratch on a metallic glass film
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July 2020 Vol. 63 No. 7: 277011 https://doi.org/10.1007/s11433-019-1512-x
Correlation between jerky flow and jerky dynamics in a nanoscratch on a metallic glass film LiPing Yu1,2, DongXue Han3, JingLi Ren1* , XiaoXiang Guo1, ShaoKang Guan4, and Gang Wang3* 1 Henan
Academy of Big Data, Zhengzhou University, Zhengzhou 450052, China; of Science, Henan University of Technology, Zhengzhou 450001, China; 3 Laboratory for Microstructures, Institute of Materials, Shanghai University, Shanghai 200444, China; 4 School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China 2 College
Received December 12, 2019; accepted January 13, 2020; published online April 22, 2020
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 Ni62 Nb38 (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. metallic-glass film, jerky flow, jerky dynamics, chaos PACS number(s): Citation:
64.70.pe, 05.45.Tp, 05.45.Pq
L. P. Yu, D. X. Han, J. L. Ren, X. X. Guo, S. K. Guan, and G. Wang, 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
1 Introduction Repeated discontinuous yielding in materials has invoked considerable concerns because it is related to the fundamental problems of not only the stability of dynamics during the permanent deformation but also the plastic origination and the deformation mechanism of materials [1]. This phenomenon is frequently manifested as serrations, which are also known as jerky flow [2]. The dynamic behavior of jerky flow in materials has been widely investigated using various methods such as the chaotic time-series analysis, statistical analysis *Corresponding authors (JingLi Ren, email: [email protected]; Gang Wang, email: [email protected])
[3-5], spatiotemporal dynamic model [6-8], and mean-field theory [9, 10]. The jerky flow behavior reveals three types of dynamics including self-organized [11, 12], multifractal [3, 13-15], and chaotic behaviors [16-18]. Unlike the selforganized and multifractal behaviors that have the charac
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