Waves of elastic stresses in the doubly-connected domain
In this paper, we consider a nonstationary mixed problem of impact of a rigid plate on the face surface of the base body containing inside itself a central foreign inclusion. Formulated in terms of stresses and velocities of displacements, the mixed problem is modeled numerically by means of an exp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2018-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/192 |
| _version_ | 1797372671334285312 |
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| author | N. Ashirbayev Zh. Ashirbayeva T. Sultanbek M. Shomanbayeva |
| author_facet | N. Ashirbayev Zh. Ashirbayeva T. Sultanbek M. Shomanbayeva |
| author_sort | N. Ashirbayev |
| collection | DOAJ |
| description |
In this paper, we consider a nonstationary mixed problem of impact of a rigid plate on the face surface of the base body containing inside itself a central foreign inclusion. Formulated in terms of stresses and velocities of displacements, the mixed problem is modeled numerically by means of an explicit difference scheme of a through count, based on the method of the spatial characteristics. The results of a change in the wave fields in a doubly connected domain are presented in the form of graphs. The analysis of numerical information made it possible to investigate the dynamic effects of stress concentration in the neighborhood of the contact of a doubly - connected domain, as well as near the corner points of a foreign inclusion.
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| first_indexed | 2024-03-08T18:38:12Z |
| format | Article |
| id | doaj.art-a354fda46445433abbb786466fd8775c |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:12Z |
| publishDate | 2018-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-a354fda46445433abbb786466fd8775c2023-12-29T10:21:21ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112018-06-0190210.31489/2018m2/18-24Waves of elastic stresses in the doubly-connected domainN. AshirbayevZh. AshirbayevaT. SultanbekM. Shomanbayeva In this paper, we consider a nonstationary mixed problem of impact of a rigid plate on the face surface of the base body containing inside itself a central foreign inclusion. Formulated in terms of stresses and velocities of displacements, the mixed problem is modeled numerically by means of an explicit difference scheme of a through count, based on the method of the spatial characteristics. The results of a change in the wave fields in a doubly connected domain are presented in the form of graphs. The analysis of numerical information made it possible to investigate the dynamic effects of stress concentration in the neighborhood of the contact of a doubly - connected domain, as well as near the corner points of a foreign inclusion. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/192elasticwave processstress, speedforeign inclusionnumerical solutionboundary condition |
| spellingShingle | N. Ashirbayev Zh. Ashirbayeva T. Sultanbek M. Shomanbayeva Waves of elastic stresses in the doubly-connected domain Қарағанды университетінің хабаршысы. Математика сериясы elastic wave process stress, speed foreign inclusion numerical solution boundary condition |
| title | Waves of elastic stresses in the doubly-connected domain |
| title_full | Waves of elastic stresses in the doubly-connected domain |
| title_fullStr | Waves of elastic stresses in the doubly-connected domain |
| title_full_unstemmed | Waves of elastic stresses in the doubly-connected domain |
| title_short | Waves of elastic stresses in the doubly-connected domain |
| title_sort | waves of elastic stresses in the doubly connected domain |
| topic | elastic wave process stress, speed foreign inclusion numerical solution boundary condition |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/192 |
| work_keys_str_mv | AT nashirbayev wavesofelasticstressesinthedoublyconnecteddomain AT zhashirbayeva wavesofelasticstressesinthedoublyconnecteddomain AT tsultanbek wavesofelasticstressesinthedoublyconnecteddomain AT mshomanbayeva wavesofelasticstressesinthedoublyconnecteddomain |