Relation between the Hurst Exponent and the Efficiency of Self-organization of a Deformable System
- Authors: Alfyorova E.A.1, Lychagin D.V.1,2
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Affiliations:
- National Research Tomsk Polytechnic University
- National Research Tomsk State University
- Issue: Vol 63, No 4 (2018)
- Pages: 540-545
- Section: Solid State
- URL: https://journals.rcsi.science/1063-7842/article/view/201143
- DOI: https://doi.org/10.1134/S1063784218040035
- ID: 201143
Cite item
Abstract
We have established the degree of self-organization of a system under plastic deformation at different scale levels. Using fractal analysis, we have determined the Hurst exponent and correlation lengths in the region of formation of a corrugated (wrinkled) structure in [111] nickel single crystals under compression. This has made it possible to single out two (micro-and meso-) levels of self-organization in the deformable system. A qualitative relation between the values of the Hurst exponent and the stages of the stress–strain curve has been established.
About the authors
E. A. Alfyorova
National Research Tomsk Polytechnic University
Author for correspondence.
Email: katerina525@mail.ru
Russian Federation, Tomsk, 634050
D. V. Lychagin
National Research Tomsk Polytechnic University; National Research Tomsk State University
Email: katerina525@mail.ru
Russian Federation, Tomsk, 634050; Tomsk, 634050