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This article is cited in 1 scientific paper (total in 1 paper)
Mechanics of Solids
Fractal and mechanical micro- and nanorange properties of sylvite and halite crystals
V. N. Aptukov, V. Yu. Mitin Perm State National Research University,
Perm, 614000, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
This article involves the treatment of micro- and nanorange scanning and indentation data for salt rock crystals obtained with help of the scanning microscope Dimension Icon using the mathematical models. It also describes the basic methods of fractal analysis. It shows the effectiveness of the method of minimal covering which is chosen to research the fractal properties of salt rock crystal surfaces. The article includes the algorithm of this method and the description of its generalization for the two-dimensional case. The values of fractal index and multifractal parameters have been calculated on the basis of the minimal covering method. The article also involves the anisotropy effects for fractal properties, comparison of fractal behavior on different scale levels. It gives the values of hardness for different parts of the crystals and studies the correlation between hardness and fractal index and describes the character of the influence of fractal dimension on roughness.
Keywords:
salt rock crystals, fractal dimension, multifractals, method of minimal coverings, nanoindentation, hardness.
Received: July 11, 2017 Revised: September 13, 2017 Accepted: September 18, 2017 First online: September 28, 2017
Citation:
V. N. Aptukov, V. Yu. Mitin, “Fractal and mechanical micro- and nanorange properties of sylvite and halite crystals”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:3 (2017), 481–495
Linking options:
https://www.mathnet.ru/eng/vsgtu1553 https://www.mathnet.ru/eng/vsgtu/v221/i3/p481
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Abstract page: | 399 | Full-text PDF : | 207 | References: | 50 |
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