Transient Interaction of Rigid Indenter with Elastic Half-plane with Adhesive Forceстатья
Статья опубликована в журнале из списка RSCI Web of Science
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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.
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.