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Fractal Dimension and Effects of Correlation of the Mesostructure of the Surface of Plastically Deformed Iron Silicide Polycrystals and Austenitic Corrosion-Resistant Steel

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Abstract

The mesorelief of the surface of plastically deformed specimens is characterized by a correlation function. It makes it possible to determine the fractal dimension D c and the correlation length ΔL from surface images of the studied specimens obtained under light and scanning electron microscopes. It is shown that two modes of behavior of the correlation function can be distinguished for specimens of iron silicide and austenitic steel broken in the process of active stretching. In one mode D c and ΔL characterize the mesorelief of the surface at scale levels less than the grain size (D c1, ΔL 1) and in the other they describe it at scale levels on the order of several grains (D c2, ΔL 2). The behavior of D c1, ΔL 1, D c2, and ΔL 2 is studied as a function of the distance from the head to the breakage place for specimens of iron silicide and as a function of the degree of plastic deformation for specimens of corrosion-resistant steel. The characteristics increase stage-by-stage with increase in the degree of plastic deformation until the specimen fails.

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Authors and Affiliations

  1. Russian Academy of Sciences,, Institute of Strength Physics and Materials Science of the Siberian Branch of the, Tomsk,, Russia

    P. V. Kuznetsov, V. E. Panin, K. V. Levin, A. G. Lipnitskii, V. I. Pavlenko & J. Schreiber

  2. The Branch for Acoustic Diagnostics and Quality Control,, Fraunghofer Institute for Nondestructive Control,, Dresden,, Germany

    P. V. Kuznetsov, V. E. Panin, K. V. Levin, A. G. Lipnitskii, V. I. Pavlenko & J. Schreiber

Authors
  1. P. V. Kuznetsov
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  2. V. E. Panin
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  3. K. V. Levin
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  4. A. G. Lipnitskii
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  5. V. I. Pavlenko
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  6. J. Schreiber
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Kuznetsov, P.V., Panin, V.E., Levin, K.V. et al. Fractal Dimension and Effects of Correlation of the Mesostructure of the Surface of Plastically Deformed Iron Silicide Polycrystals and Austenitic Corrosion-Resistant Steel. Metal Science and Heat Treatment 43, 89–94 (2001). https://doi.org/10.1023/A:1010584914797

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  • DOI: https://doi.org/10.1023/A:1010584914797

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