Deformable Voronoi model for the research of the plane stress-strain state
The paper considers an approach to modelling geomechanical processes based on the internal forces method. In particular, the problem of non-invariance of the method to rotations is investigated. An original modification of the method based on additional central forces determined by deformations of a...
| Main Authors: | , |
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| Format: | Article |
| Language: | Belarusian |
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Belarusian State University
2021-04-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
| Subjects: | |
| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/3702 |
| _version_ | 1831666151439990784 |
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| author | Victor V. Chaiko Oleg L. Konovalov |
| author_facet | Victor V. Chaiko Oleg L. Konovalov |
| author_sort | Victor V. Chaiko |
| collection | DOAJ |
| description | The paper considers an approach to modelling geomechanical processes based on the internal forces method. In particular, the problem of non-invariance of the method to rotations is investigated. An original modification of the method based on additional central forces determined by deformations of adjacent Voronoi cells is proposed. An analytical relationship between the parameters of the microstructural model and the elastic properties of the simulated material is obtained. The results of numerical experiments to verify this relationship and the accuracy of modelling the stress-strain state are presented. |
| first_indexed | 2024-12-19T19:48:01Z |
| format | Article |
| id | doaj.art-75dcaa2915c44fcfb2b51a61bff7838f |
| institution | Directory Open Access Journal |
| issn | 2520-6508 2617-3956 |
| language | Belarusian |
| last_indexed | 2024-12-19T19:48:01Z |
| publishDate | 2021-04-01 |
| publisher | Belarusian State University |
| record_format | Article |
| series | Журнал Белорусского государственного университета: Математика, информатика |
| spelling | doaj.art-75dcaa2915c44fcfb2b51a61bff7838f2022-12-21T20:08:05ZbelBelarusian State UniversityЖурнал Белорусского государственного университета: Математика, информатика2520-65082617-39562021-04-01110211210.33581/2520-6508-2021-1-102-1123702Deformable Voronoi model for the research of the plane stress-strain stateVictor V. Chaiko0https://orcid.org/0000-0003-2490-0401Oleg L. Konovalov1Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, BelarusBelarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, BelarusThe paper considers an approach to modelling geomechanical processes based on the internal forces method. In particular, the problem of non-invariance of the method to rotations is investigated. An original modification of the method based on additional central forces determined by deformations of adjacent Voronoi cells is proposed. An analytical relationship between the parameters of the microstructural model and the elastic properties of the simulated material is obtained. The results of numerical experiments to verify this relationship and the accuracy of modelling the stress-strain state are presented.https://journals.bsu.by/index.php/mathematics/article/view/3702numerical experimentdiscrete element modellingmicrostructural parametersstress-strain statedeformable voronoi |
| spellingShingle | Victor V. Chaiko Oleg L. Konovalov Deformable Voronoi model for the research of the plane stress-strain state Журнал Белорусского государственного университета: Математика, информатика numerical experiment discrete element modelling microstructural parameters stress-strain state deformable voronoi |
| title | Deformable Voronoi model for the research of the plane stress-strain state |
| title_full | Deformable Voronoi model for the research of the plane stress-strain state |
| title_fullStr | Deformable Voronoi model for the research of the plane stress-strain state |
| title_full_unstemmed | Deformable Voronoi model for the research of the plane stress-strain state |
| title_short | Deformable Voronoi model for the research of the plane stress-strain state |
| title_sort | deformable voronoi model for the research of the plane stress strain state |
| topic | numerical experiment discrete element modelling microstructural parameters stress-strain state deformable voronoi |
| url | https://journals.bsu.by/index.php/mathematics/article/view/3702 |
| work_keys_str_mv | AT victorvchaiko deformablevoronoimodelfortheresearchoftheplanestressstrainstate AT oleglkonovalov deformablevoronoimodelfortheresearchoftheplanestressstrainstate |