An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions
A two-dimensional singular integral equation in a rather arbitrary symmetrical area is considered, to which some problems of mechanics with mixed boundary conditions are reduced. Particularly, these include, the problem of the plate's plane struck on the flat surface of an incompressible fluid,...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2009-12-01
|
| Series: | Advanced Engineering Research |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/1178 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849250024888729600 |
|---|---|
| author | B.I. Smetanin B.V. Sobol' S.S. Volkov |
| author_facet | B.I. Smetanin B.V. Sobol' S.S. Volkov |
| author_sort | B.I. Smetanin |
| collection | DOAJ |
| description | A two-dimensional singular integral equation in a rather arbitrary symmetrical area is considered, to which some problems of mechanics with mixed boundary conditions are reduced. Particularly, these include, the problem of the plate's plane struck on the flat surface of an incompressible fluid, as well as the problem of a plane crack of normal rupture in an unbounded elastic medium. Special presentation of the kernel of integral equation is able to significantly weaken its singularity, which in turn helped to realize a sustainable computing process by collocation method. |
| format | Article |
| id | doaj-art-d77ae0fee8444d648614f3eacdb2d347 |
| institution | Kabale University |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2009-12-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-d77ae0fee8444d648614f3eacdb2d3472025-08-20T03:57:22ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532009-12-01945895981163An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditionsB.I. Smetanin0B.V. Sobol'1S.S. Volkov2Southern Federal University.Don State Technical University.Southern Federal University.A two-dimensional singular integral equation in a rather arbitrary symmetrical area is considered, to which some problems of mechanics with mixed boundary conditions are reduced. Particularly, these include, the problem of the plate's plane struck on the flat surface of an incompressible fluid, as well as the problem of a plane crack of normal rupture in an unbounded elastic medium. Special presentation of the kernel of integral equation is able to significantly weaken its singularity, which in turn helped to realize a sustainable computing process by collocation method.https://www.vestnik-donstu.ru/jour/article/view/1178 |
| spellingShingle | B.I. Smetanin B.V. Sobol' S.S. Volkov An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions Advanced Engineering Research |
| title | An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions |
| title_full | An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions |
| title_fullStr | An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions |
| title_full_unstemmed | An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions |
| title_short | An effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions |
| title_sort | effective method of solving of sin gular integral equations in mechanical problems with mixed boundary conditions |
| url | https://www.vestnik-donstu.ru/jour/article/view/1178 |
| work_keys_str_mv | AT bismetanin aneffectivemethodofsolvingofsingularintegralequationsinmechanicalproblemswithmixedboundaryconditions AT bvsobol aneffectivemethodofsolvingofsingularintegralequationsinmechanicalproblemswithmixedboundaryconditions AT ssvolkov aneffectivemethodofsolvingofsingularintegralequationsinmechanicalproblemswithmixedboundaryconditions AT bismetanin effectivemethodofsolvingofsingularintegralequationsinmechanicalproblemswithmixedboundaryconditions AT bvsobol effectivemethodofsolvingofsingularintegralequationsinmechanicalproblemswithmixedboundaryconditions AT ssvolkov effectivemethodofsolvingofsingularintegralequationsinmechanicalproblemswithmixedboundaryconditions |