Tangential Displacement Influence on the Critical Normal Force of Adhesive Contact Breakage in Biological Systems

Abstract

Abstract. The dependencies of the critical components of normal and tangential forces corresponding to the contact breakage between a parabolic indenter and an elastic half-space have been determined taking into account adhesive interaction. In order to describe the adhesive contact, the method of dimensionality reduction (MDR) and the modified rule of Heß taking into account tangential displacements have been used.The influence of the surface energy depending on the indenter separation angle has been studied.

Influence of Tangential Displacement on the Adhesion Force between Gradient Materials

“…Attention should be paid to that expression (19) describes a situation where the work of the adhesive forces does not depend on the indenter motion direction. This assumption may be not valid for some physical systems [21,22]. In this case, the dependence of the surface energy Δ on the angle at which the indenter moves with respect to the half-space has to be additionally taken into account, as was done in work [21] for a homogeneous medium.…”

“…This assumption may be not valid for some physical systems [21,22]. In this case, the dependence of the surface energy Δ on the angle at which the indenter moves with respect to the half-space has to be additionally taken into account, as was done in work [21] for a homogeneous medium. However, the consideration of this situation in details will significantly complicate the procedure described below.…”

Voltage-Induced Friction with Application to Electrovibration

“…We present an approach, which is based on the close analogy between electroadhesive frictional contacts and tangential contacts between electrically neutral bodies, with adhesion caused by van der Waals forces. Although the interaction between adhesion and friction does not yet seem to be fully understood, promising models for adhesive tangential contact problems have recently emerged [11,12]. We will refer to the model of Popov and Dimaki [12], which makes use of the Maugis-Dugdale approximation to consider adhesion and determines the frictional force via Coulombs friction law.…”

Динамическая Модель Упруго-Пластического Нормального Столкновения Сферической Частицы С Полупространством С Учетом Адгезионного Взаимодействия В Зоне Контакта

“…Вторым важным направлением, которое использует достижения физики столкновений, является моделирование природных явлений, сюда входят такие явления как землетрясения, перемещения ледников, оползни, формирование горных систем, и т. п. Более того, контактные явления оказывают существенное влияние при формировании астероидов и планетарных систем [4], а также при механических манипуляциях с наноразмерными систе-мами [5], что в связи с современными тенденциями миниатюризации механических устройств имеет большую перспективу практического применения. Стоит отметить, что в общем случае описание контактных явлений представляет сложную задачу, поскольку здесь существенную роль играют адгезионные силы [5,6], шероховатости, наличие пластической деформации [7,8], наличие третьего тела в зоне контакта, и многие другие особенности.…”