## Transient Interaction of Rigid Indenter with Elastic Half-plane with Adhesive Forceстатья

Статья опубликована в журнале из списка RSCI Web of Science

Информация о цитировании статьи получена из Scopus, Web of Science
Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 17 июля 2019 г.
• Авторы:
• Журнал: Lobachevskii Journal of Mathematics
• Том: 40
• Номер: 4
• Год издания: 2019
• Издательство: Kazanskii Gosudarstvennyi Universitet/Kazan State University
• Местоположение издательства: Russian Federation
• Первая страница: 489
• Последняя страница: 498
• DOI: 10.1134/S1995080219040115
• Аннотация: The transient interaction of a rigid convex indenter with elastic half-plane boundary is investigated in this paper. At the initial time point, the rigid indenter and half-plane have some distance between them. Indenter moves towards the half-plane on arbitrary law of motion. The indenter and half-plane interaction is considered in two stages: contactless interaction, which includes only adhesive forces, and the stage with mechanical contact between indenter and halfplane’s boundary. On the second stage, the adhesive force also takes place. In this paper the first stage of interaction is considered. To obtain the normal displacement of the half-plane, the superposition principle is used. For this method, the Lamb problem solution is considered as a Green function. However, the adhesive force function’s support is unknown. In this article the original numerical and analytical algorithm is constructed and realized, the solution for considered problem is obtained. Graphical results for half-plane boundary normal displacements space-time distribution are presented. Also graphical results for adhesive force support boundary position and velocity on time dependence are shown.
• Добавил в систему: Федотенков Григорий Валерьевич

### Работа с статьей

 [1] Okonechnikov A. S., Tarlakovsky D. V., Fedotenkov G. V. Transient interaction of rigid indenter with elastic half-plane with adhesive force // Lobachevskii Journal of Mathematics. — 2019. — Vol. 40, no. 4. — P. 489–498. The transient interaction of a rigid convex indenter with elastic half-plane boundary is investigated in this paper. At the initial time point, the rigid indenter and half-plane have some distance between them. Indenter moves towards the half-plane on arbitrary law of motion. The indenter and half-plane interaction is considered in two stages: contactless interaction, which includes only adhesive forces, and the stage with mechanical contact between indenter and halfplane’s boundary. On the second stage, the adhesive force also takes place. In this paper the first stage of interaction is considered. To obtain the normal displacement of the half-plane, the superposition principle is used. For this method, the Lamb problem solution is considered as a Green function. However, the adhesive force function’s support is unknown. In this article the original numerical and analytical algorithm is constructed and realized, the solution for considered problem is obtained. Graphical results for half-plane boundary normal displacements space-time distribution are presented. Also graphical results for adhesive force support boundary position and velocity on time dependence are shown. [ DOI ]