On one approach to the numerical modeling of the strain-stress state of layered rock mass
According to the principle of virtual work for a system of elastic layers, a semi-analytical scheme for constructing the finite-dimensional analog of the variational equation was developed based on the well-known analytical solution in the Fourier series for a single layer. The solution of a test pr...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2019-05-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2499 |
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| author | Sergey Yurevich Lobanov Alexander Baryakh |
| author_facet | Sergey Yurevich Lobanov Alexander Baryakh |
| author_sort | Sergey Yurevich Lobanov |
| collection | DOAJ |
| description | According to the principle of virtual work for a system of elastic layers, a semi-analytical scheme for constructing the finite-dimensional analog of the variational equation was developed based on the well-known analytical solution in the Fourier series for a single layer. The solution of a test problem shows that the constructed numerical procedure of mathematical modeling ensures fairly accurate calculations and highly effective computer-aided realization. It was demonstrated that the proposed semi-analytical scheme for constructing the finite-dimensional analog of the variational equation can be effectively used for the assessment of safety conditions of the potash salt development within the Upper Kama salt deposit. |
| format | Article |
| id | doaj-art-473d4daa555b487aa90b23fdc3fe6e57 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2019-05-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-473d4daa555b487aa90b23fdc3fe6e572025-01-02T23:01:28ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-05-011349On one approach to the numerical modeling of the strain-stress state of layered rock massSergey Yurevich Lobanov0Alexander Baryakh1Mining Institute of the Ural Branch of the Russian Academy of SciencePerm Federal Research Center of Ural Branch of Russian Academy of Science, director, corresponding member of Russian Academy of Science, RussiaAccording to the principle of virtual work for a system of elastic layers, a semi-analytical scheme for constructing the finite-dimensional analog of the variational equation was developed based on the well-known analytical solution in the Fourier series for a single layer. The solution of a test problem shows that the constructed numerical procedure of mathematical modeling ensures fairly accurate calculations and highly effective computer-aided realization. It was demonstrated that the proposed semi-analytical scheme for constructing the finite-dimensional analog of the variational equation can be effectively used for the assessment of safety conditions of the potash salt development within the Upper Kama salt deposit.https://www.fracturae.com/index.php/fis/article/view/2499Mathematical modelingFinite elementsStrainsStressesRocks |
| spellingShingle | Sergey Yurevich Lobanov Alexander Baryakh On one approach to the numerical modeling of the strain-stress state of layered rock mass Fracture and Structural Integrity Mathematical modeling Finite elements Strains Stresses Rocks |
| title | On one approach to the numerical modeling of the strain-stress state of layered rock mass |
| title_full | On one approach to the numerical modeling of the strain-stress state of layered rock mass |
| title_fullStr | On one approach to the numerical modeling of the strain-stress state of layered rock mass |
| title_full_unstemmed | On one approach to the numerical modeling of the strain-stress state of layered rock mass |
| title_short | On one approach to the numerical modeling of the strain-stress state of layered rock mass |
| title_sort | on one approach to the numerical modeling of the strain stress state of layered rock mass |
| topic | Mathematical modeling Finite elements Strains Stresses Rocks |
| url | https://www.fracturae.com/index.php/fis/article/view/2499 |
| work_keys_str_mv | AT sergeyyurevichlobanov ononeapproachtothenumericalmodelingofthestrainstressstateoflayeredrockmass AT alexanderbaryakh ononeapproachtothenumericalmodelingofthestrainstressstateoflayeredrockmass |