Limiting equilibrium of a plane with a circular hole
The elastoplastic state of a compressible isotropic plane with a circular hole is studied by the method of a small parameter. An unknown boundary separating the domain of limiting equilibrium and the elastic domain is determined. We construct the complex Kolosov-Muskhelishvili functions that describ...
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5891 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512110521352192 |
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| author | Lozhkin, V. N. Ложкин, В. Н. Ложкин, В. Н. |
| author_facet | Lozhkin, V. N. Ложкин, В. Н. Ложкин, В. Н. |
| author_sort | Lozhkin, V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:04Z |
| description | The elastoplastic state of a compressible isotropic plane with a circular hole is studied by the method of a small parameter. An unknown boundary separating the domain of limiting equilibrium and the elastic domain is determined. We construct the complex Kolosov-Muskhelishvili functions that describe the elastic state of a plane and compare these with the solutions of Galin's problem. |
| first_indexed | 2026-03-24T03:23:35Z |
| format | Article |
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| id | umjimathkievua-article-5891 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:35Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4e/5ec84b60860237ed2f8bd4c477e6d04e.pdf |
| spelling | umjimathkievua-article-58912020-03-19T09:20:04Z Limiting equilibrium of a plane with a circular hole Предельное равновесие плоскости с круговым вырезом Lozhkin, V. N. Ложкин, В. Н. Ложкин, В. Н. The elastoplastic state of a compressible isotropic plane with a circular hole is studied by the method of a small parameter. An unknown boundary separating the domain of limiting equilibrium and the elastic domain is determined. We construct the complex Kolosov-Muskhelishvili functions that describe the elastic state of a plane and compare these with the solutions of Galin's problem. Методом малого параметра вивчено пружно-пластичний стан стисливої ізотропної площини з круговим вирізом. Визначена невідома межа поділу області граничної рівноваги та пружної області. Побудовані комплексні функції Колосова - Мусхелішвілі, які описують пружний стан площини. Наведено порівняння з розв’язком задачі Л. О. Галіна. Institute of Mathematics, NAS of Ukraine 1993-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5891 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 7 (1993); 980–981 Український математичний журнал; Том 45 № 7 (1993); 980–981 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5891/8465 https://umj.imath.kiev.ua/index.php/umj/article/view/5891/8466 Copyright (c) 1993 Lozhkin V. N. |
| spellingShingle | Lozhkin, V. N. Ложкин, В. Н. Ложкин, В. Н. Limiting equilibrium of a plane with a circular hole |
| title | Limiting equilibrium of a plane with a circular hole |
| title_alt | Предельное равновесие плоскости с круговым вырезом |
| title_full | Limiting equilibrium of a plane with a circular hole |
| title_fullStr | Limiting equilibrium of a plane with a circular hole |
| title_full_unstemmed | Limiting equilibrium of a plane with a circular hole |
| title_short | Limiting equilibrium of a plane with a circular hole |
| title_sort | limiting equilibrium of a plane with a circular hole |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5891 |
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