CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYER
An effective analytical solution to an axisymmetric contact problem on the interaction between a circular plate and a double-layer elastic half-space is considered. For this, a bilateral asymptotic method is applied. The plate bends under the load and the foundation response. The solution is constru...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2013-09-01
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| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/412 |
| _version_ | 1826564990289575936 |
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| author | Boris Igorevich Mitrin Sergey Sergeyevich Volkov |
| author_facet | Boris Igorevich Mitrin Sergey Sergeyevich Volkov |
| author_sort | Boris Igorevich Mitrin |
| collection | DOAJ |
| description | An effective analytical solution to an axisymmetric contact problem on the interaction between a circular plate and a double-layer elastic half-space is considered. For this, a bilateral asymptotic method is applied. The plate bends under the load and the foundation response. The solution is constructed for different layer thickness and plate flexibility parameters. Cases when half-space layer properties differ significantly are considered. For these cases, kernel transform approximates of the high-accuracy problem integral equation are constructed. The obtained results accuracy is checked through the comparison with the known solution to the problem on the circular plate bending on an elastic layer bearing on the non-deformable foundation. The effect of the distributed load on flexible and rigid plates depending on the interlayer thickness and its stiffness against the underlying half-place is investigated. |
| first_indexed | 2024-04-10T03:19:09Z |
| format | Article |
| id | doaj.art-8fd489f634ed4b52930e1d2061c7d1cb |
| institution | Directory Open Access Journal |
| issn | 2687-1653 |
| language | Russian |
| last_indexed | 2025-03-14T10:28:38Z |
| publishDate | 2013-09-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj.art-8fd489f634ed4b52930e1d2061c7d1cb2025-03-02T11:04:21ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532013-09-01135-61424405CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYERBoris Igorevich Mitrin0Sergey Sergeyevich Volkov1Don State Technical University. RussiaDon State Technical University. RussiaAn effective analytical solution to an axisymmetric contact problem on the interaction between a circular plate and a double-layer elastic half-space is considered. For this, a bilateral asymptotic method is applied. The plate bends under the load and the foundation response. The solution is constructed for different layer thickness and plate flexibility parameters. Cases when half-space layer properties differ significantly are considered. For these cases, kernel transform approximates of the high-accuracy problem integral equation are constructed. The obtained results accuracy is checked through the comparison with the known solution to the problem on the circular plate bending on an elastic layer bearing on the non-deformable foundation. The effect of the distributed load on flexible and rigid plates depending on the interlayer thickness and its stiffness against the underlying half-place is investigated.https://www.vestnik-donstu.ru/jour/article/view/412plate bendingcircular plateinhomogeneous mediumtheory of elas-ticityanalytical methods. |
| spellingShingle | Boris Igorevich Mitrin Sergey Sergeyevich Volkov CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYER Advanced Engineering Research plate bending circular plate inhomogeneous medium theory of elas-ticity analytical methods. |
| title | CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYER |
| title_full | CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYER |
| title_fullStr | CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYER |
| title_full_unstemmed | CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYER |
| title_short | CONTACT STRESS DISTRIBUTION UNDER CIRCULAR PLATE ON A SOFT LAYER |
| title_sort | contact stress distribution under circular plate on a soft layer |
| topic | plate bending circular plate inhomogeneous medium theory of elas-ticity analytical methods. |
| url | https://www.vestnik-donstu.ru/jour/article/view/412 |
| work_keys_str_mv | AT borisigorevichmitrin contactstressdistributionundercircularplateonasoftlayer AT sergeysergeyevichvolkov contactstressdistributionundercircularplateonasoftlayer |