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Relation between the Hurst Exponent and the Efficiency of Self-organization of a Deformable System

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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.

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Authors and Affiliations

  1. National Research Tomsk Polytechnic University, Tomsk, 634050, Russia

    E. A. Alfyorova & D. V. Lychagin

  2. National Research Tomsk State University, Tomsk, 634050, Russia

    D. V. Lychagin

Authors
  1. E. A. Alfyorova
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  2. D. V. Lychagin
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Correspondence to E. A. Alfyorova.

Additional information

Original Russian Text © E.A. Alfyorova, D.V. Lychagin, 2018, published in Zhurnal Tekhnicheskoi Fiziki, 2018, Vol. 88, No. 4, pp. 555–560.

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Alfyorova, E.A., Lychagin, D.V. Relation between the Hurst Exponent and the Efficiency of Self-organization of a Deformable System. Tech. Phys. 63, 540–545 (2018). https://doi.org/10.1134/S1063784218040035

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