Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous Medium
The application of algorithms of the finite element method (FEM) or the boundary element method (BEM) reveals some peculiar properties for a numerical solution of the three-dimensional analysis in infinite domains. Various algorithms offer to avoid such problems at the expense of combining differe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Peter the Great St. Petersburg Polytechnic University
2016-08-01
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| Series: | Инженерно-строительный журнал |
| Subjects: | |
| Online Access: | http://engstroy.spbstu.ru/eng/index_2016_02/08.html |
| _version_ | 1811276924807282688 |
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| author | N.V. Chernysheva G.S. Kolosova L.A. Rozin |
| author_facet | N.V. Chernysheva G.S. Kolosova L.A. Rozin |
| author_sort | N.V. Chernysheva |
| collection | DOAJ |
| description | The application of algorithms of the finite element method (FEM) or the boundary element
method (BEM) reveals some peculiar properties for a numerical solution of the three-dimensional analysis
in infinite domains. Various algorithms offer to avoid such problems at the expense of combining different
methods and equations. The algorithm of the 3d analysis developed to solve an external boundary problem
by applying the combined method based on incorporating the FEM and Somigliana’s integral formula is
considered. The algorithm is modified for the case of the interaction of a structure with an inhomogeneous
medium. The efficiency of software implementation of both algorithms has been tested. A stress-strain
analysis of an inhomogeneous medium with a cavity has been carried out to illustrate the given approach. |
| first_indexed | 2024-04-13T00:06:28Z |
| format | Article |
| id | doaj.art-081a0014892b481da7fd02cb401b5a8f |
| institution | Directory Open Access Journal |
| issn | 2071-4726 2071-0305 |
| language | English |
| last_indexed | 2024-04-13T00:06:28Z |
| publishDate | 2016-08-01 |
| publisher | Peter the Great St. Petersburg Polytechnic University |
| record_format | Article |
| series | Инженерно-строительный журнал |
| spelling | doaj.art-081a0014892b481da7fd02cb401b5a8f2022-12-22T03:11:13ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-47262071-03052016-08-01622839110.5862/MCE.62.8Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous MediumN.V. Chernysheva0G.S. Kolosova1L.A. Rozin2Peter the Great St. Petersburg Polytechnic UniversityPeter the Great St. Petersburg Polytechnic UniversityPeter the Great St. Petersburg Polytechnic UniversityThe application of algorithms of the finite element method (FEM) or the boundary element method (BEM) reveals some peculiar properties for a numerical solution of the three-dimensional analysis in infinite domains. Various algorithms offer to avoid such problems at the expense of combining different methods and equations. The algorithm of the 3d analysis developed to solve an external boundary problem by applying the combined method based on incorporating the FEM and Somigliana’s integral formula is considered. The algorithm is modified for the case of the interaction of a structure with an inhomogeneous medium. The efficiency of software implementation of both algorithms has been tested. A stress-strain analysis of an inhomogeneous medium with a cavity has been carried out to illustrate the given approach.http://engstroy.spbstu.ru/eng/index_2016_02/08.htmlfinite element methodthreedimensional analysisSomigliana’s integral formulaexternal boundary problemunderground cavities |
| spellingShingle | N.V. Chernysheva G.S. Kolosova L.A. Rozin Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous Medium Инженерно-строительный журнал finite element method threedimensional analysis Somigliana’s integral formula external boundary problem underground cavities |
| title | Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous Medium |
| title_full | Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous Medium |
| title_fullStr | Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous Medium |
| title_full_unstemmed | Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous Medium |
| title_short | Combined Method of 3d Analysis for Underground Structures in View of Surrounding Infinite Homogeneous and Inhomogeneous Medium |
| title_sort | combined method of 3d analysis for underground structures in view of surrounding infinite homogeneous and inhomogeneous medium |
| topic | finite element method threedimensional analysis Somigliana’s integral formula external boundary problem underground cavities |
| url | http://engstroy.spbstu.ru/eng/index_2016_02/08.html |
| work_keys_str_mv | AT nvchernysheva combinedmethodof3danalysisforundergroundstructuresinviewofsurroundinginfinitehomogeneousandinhomogeneousmedium AT gskolosova combinedmethodof3danalysisforundergroundstructuresinviewofsurroundinginfinitehomogeneousandinhomogeneousmedium AT larozin combinedmethodof3danalysisforundergroundstructuresinviewofsurroundinginfinitehomogeneousandinhomogeneousmedium |