Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut
A definition of a univalently stressed contour in a compressible isotropic plane with a curvilinear cut is given, which extends the notion of an equiresistant contour. Conditions for elliptic and square contours to be univalently stressed are formulated and proved.
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5416 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511647437684736 |
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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 | 2020-03-19T08:58:41Z |
| description | A definition of a univalently stressed contour in a compressible isotropic plane with a curvilinear cut is given, which extends the notion of an equiresistant contour. Conditions for elliptic and square contours to be univalently stressed are formulated and proved. |
| first_indexed | 2026-03-24T03:16:13Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5416 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:13Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d2/09c4498cac2722c07839de35ca11a7d2.pdf |
| spelling | umjimathkievua-article-54162020-03-19T08:58:41Z Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut Условия существования однозначнонапряженных контуров в первой основной задаче теории упругости для плоскости с вырезом Lozhkin, V. N. Ложкин, В. Н. Ложкин, В. Н. A definition of a univalently stressed contour in a compressible isotropic plane with a curvilinear cut is given, which extends the notion of an equiresistant contour. Conditions for elliptic and square contours to be univalently stressed are formulated and proved. Наведено визначення однозначнонапруженого контура в стисливій ізотропній площині з криволінійним вирізом, яке розширює поняття рівноміцного контура. Сформульовані і доведені умови, за яких еліптичний і квадратний контури будуть однозначнонапруженими. Institute of Mathematics, NAS of Ukraine 1995-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5416 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 2 (1995); 295–296 Український математичний журнал; Том 47 № 2 (1995); 295–296 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5416/7521 https://umj.imath.kiev.ua/index.php/umj/article/view/5416/7522 Copyright (c) 1995 Lozhkin V. N. |
| spellingShingle | Lozhkin, V. N. Ложкин, В. Н. Ложкин, В. Н. Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut |
| title | Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut |
| title_alt | Условия существования однозначнонапряженных контуров в первой основной задаче теории упругости для плоскости с вырезом |
| title_full | Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut |
| title_fullStr | Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut |
| title_full_unstemmed | Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut |
| title_short | Conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut |
| title_sort | conditions of existence of univalently stressed contours in the first main problem of the theory of elasticity for a plane with cut |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5416 |
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