Algorithmization for Calculating Fractal Parameters of the Relief of a Rough Surface According to GOST R ISO 25178-2-2014

The application of fractal geometry methods for characterizing the properties of surfaces of materials and products is described. The terminology of the standard GOST R ISO 25178-2-2014, “Geometric characteristics of products (GPS). Surface structure. Areal. Part 2. Terms, definitions and parameters...

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Bibliographic Details
Published in:Measurement techniques 2020-11, Vol.63 (8), p.610-618
Main Authors: Markov, B. N., Masterenko, D. A., Emelyanov, P. N., Teleshevskiy, V. I.
Format: Article
Language:English
Subjects:
Analytical Chemistry
Characterization and Evaluation of Materials
General Problems of Metrology and Measurement Technique
Measurement Science and Instrumentation
Physical Chemistry
Physics
Physics and Astronomy
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Summary:The application of fractal geometry methods for characterizing the properties of surfaces of materials and products is described. The terminology of the standard GOST R ISO 25178-2-2014, “Geometric characteristics of products (GPS). Surface structure. Areal. Part 2. Terms, definitions and parameters of surface structure.” The functions provided by the standard for calculating fractal dimension are presented; algorithms for their calculation in the Mathcad environment are described. We give an example of calculations based on the results of measurements of the heights of surface irregularities of a gauge block, obtained using an atomic force microscope.
ISSN:0543-1972
1573-8906
DOI:10.1007/s11018-020-01830-z