Вплив міжповерхневих рідинних містків на контакт пружного тіла і жорсткої основи з періодичною системою прямокутних виїмок
The frictionless contact between an elastic body and a rigid base with periodically arrangedrectangular grooves is considered. There are liquid bridges in the middle parts of interface gaps,and the edges of interface gaps contain a gas under constant pressure. It is assumed that the liquidis incompr...
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| Datum: | 2019 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2019
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| Schlagworte: | |
| Online Zugang: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/76 |
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| Назва журналу: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Zusammenfassung: | The frictionless contact between an elastic body and a rigid base with periodically arrangedrectangular grooves is considered. There are liquid bridges in the middle parts of interface gaps,and the edges of interface gaps contain a gas under constant pressure. It is assumed that the liquidis incompressible and perfectly wets the surfaces of the bodies. Due to the surface tension of theliquid, a pressure drop described by Laplace’s equation occurs in the liquid and the gas.The contact problem for the elastic half-space is reduced to a singular integral equation (SIE)with Hilbert kernel for a derivative of a gaps height and a transcendental equation for a length ofthe liquid regions. The dependences of the liquid regions, the pressure drop, the shape of thegrooves and the contact approach of the bodies on the applied load, the volume and the surfacetension of the liquid are analyzed. |
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