An infinite plate with a curvilinear hole in S-plane
<p>Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for the infinite plate weakened by a hole having arbitrary shape.</p><p><br />The plate considered are conformally mapp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1999-10-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/329 |
| _version_ | 1818949158063570944 |
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| author | A. A. El-Bary I. H. El-Sirafy |
| author_facet | A. A. El-Bary I. H. El-Sirafy |
| author_sort | A. A. El-Bary |
| collection | DOAJ |
| description | <p>Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for the infinite plate weakened by a hole having arbitrary shape.</p><p><br />The plate considered are conformally mapped on the area of the right half-plane. The work of many previous authors are considered as special cases of this work and the interesting cases when the the shape of the hole is an ellipse, a crescent, a triangle, or a cut having the shape of a circular are include as special cases.</p> |
| first_indexed | 2024-12-20T08:58:14Z |
| format | Article |
| id | doaj.art-79af146f8d8842069681862124c1a8f4 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-20T08:58:14Z |
| publishDate | 1999-10-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-79af146f8d8842069681862124c1a8f42022-12-21T19:45:56ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981999-10-01542261274305An infinite plate with a curvilinear hole in S-planeA. A. El-BaryI. H. El-Sirafy<p>Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for the infinite plate weakened by a hole having arbitrary shape.</p><p><br />The plate considered are conformally mapped on the area of the right half-plane. The work of many previous authors are considered as special cases of this work and the interesting cases when the the shape of the hole is an ellipse, a crescent, a triangle, or a cut having the shape of a circular are include as special cases.</p>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/329Infinite plateCauchy integralFirst and second fundamental problemintegro-differential function |
| spellingShingle | A. A. El-Bary I. H. El-Sirafy An infinite plate with a curvilinear hole in S-plane Le Matematiche Infinite plate Cauchy integral First and second fundamental problem integro-differential function |
| title | An infinite plate with a curvilinear hole in S-plane |
| title_full | An infinite plate with a curvilinear hole in S-plane |
| title_fullStr | An infinite plate with a curvilinear hole in S-plane |
| title_full_unstemmed | An infinite plate with a curvilinear hole in S-plane |
| title_short | An infinite plate with a curvilinear hole in S-plane |
| title_sort | infinite plate with a curvilinear hole in s plane |
| topic | Infinite plate Cauchy integral First and second fundamental problem integro-differential function |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/329 |
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