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Thermal Control: Multifractal Distribution of Local Plastic Strains

  • RELIABILITY, STRENGTH, AND WEAR RESISTANCE OF MACHINES AND STRUCTURES
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Abstract

Methods that make it possible to evaluate the heterogeneity of the distribution of local strains and stresses indirectly through the values of the temperature distribution in thermograms are presented. In this case, methods of fractal analysis in the form of multifractal spectra, image clustering, and multiscale analysis of discrete wavelet images decomposition are used. It is shown that, with increasing damage to the material, the width of the multifractal spectrum increases and local strains are redistributed along the plate length during loading. The use of the multiple-scale wavelet decomposition makes it possible to establish scale elements that have the greatest strain changes.

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Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation (grant no. 075-15-2021-674).

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Authors and Affiliations

  1. Mechanical Engineering Research Institute of the Russian Academy of Sciences, 101990, Moscow, Russia

    R. S. Akhmetkhanov

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  1. R. S. Akhmetkhanov
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Correspondence to R. S. Akhmetkhanov.

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Translated by A. Kolemesin

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Akhmetkhanov, R.S. Thermal Control: Multifractal Distribution of Local Plastic Strains. J. Mach. Manuf. Reliab. 52, 479–485 (2023). https://doi.org/10.3103/S1052618823050023

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  • DOI: https://doi.org/10.3103/S1052618823050023

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