Fractal and mechanical microand nanorange properties of sylvite and halite crystals
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 meth...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2017-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20556/16803 |
| _version_ | 1818277882597736448 |
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| author | Valery N Aptukov Victor Yu Mitin |
| author_facet | Valery N Aptukov Victor Yu Mitin |
| author_sort | Valery N Aptukov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T23:08:36Z |
| format | Article |
| id | doaj.art-343806566e6c45eea7416aff122e3345 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T23:08:36Z |
| publishDate | 2017-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-343806566e6c45eea7416aff122e33452022-12-22T00:08:39ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812017-09-0121348149510.14498/vsgtu155317976Fractal and mechanical microand nanorange properties of sylvite and halite crystalsValery N Aptukov0Victor Yu Mitin1Perm State National Research UniversityPerm State National Research UniversityThis 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.https://journals.eco-vector.com/1991-8615/article/viewFile/20556/16803salt rock crystalsfractal dimensionmultifractalsmethod of minimal coveringsnanoindentationhardness |
| spellingShingle | Valery N Aptukov Victor Yu Mitin Fractal and mechanical microand nanorange properties of sylvite and halite crystals Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki salt rock crystals fractal dimension multifractals method of minimal coverings nanoindentation hardness |
| title | Fractal and mechanical microand nanorange properties of sylvite and halite crystals |
| title_full | Fractal and mechanical microand nanorange properties of sylvite and halite crystals |
| title_fullStr | Fractal and mechanical microand nanorange properties of sylvite and halite crystals |
| title_full_unstemmed | Fractal and mechanical microand nanorange properties of sylvite and halite crystals |
| title_short | Fractal and mechanical microand nanorange properties of sylvite and halite crystals |
| title_sort | fractal and mechanical microand nanorange properties of sylvite and halite crystals |
| topic | salt rock crystals fractal dimension multifractals method of minimal coverings nanoindentation hardness |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20556/16803 |
| work_keys_str_mv | AT valerynaptukov fractalandmechanicalmicroandnanorangepropertiesofsylviteandhalitecrystals AT victoryumitin fractalandmechanicalmicroandnanorangepropertiesofsylviteandhalitecrystals |