Non-adhesive and adhesive contacts of an elastic quarter-or eighth-space with freely sliding sides  

作　　者：Qiang LI Valentin L.POPOV 

机构地区：[1]Technische Universität Berlin,Berlin 10623,Germany

出　　处：《Friction》2024年第9期2052-2063,共12页摩擦（英文版）

基　　金：This work has been conducted under partial financial support from DFG(Grant Nos.PO 810/55-3 and LI 3064/2-1).

摘　　要：The contact of an elastic quarter-or eighth-space is studied under the condition that the movement of the side surface of the quarter-space is constrained:It can slide freely along the plane of the side surface but its normal movement is blocked(for example,by a rigid wall).The solution of this contact problem can be easily achieved by additionally applying a mirrored load to an elastic half-space.Non-adhesive contact and the Johnson–Kendall–Roberts(JKR)-type adhesive contact between a rigid sphere and an elastic quarter-space under such a boundary condition is numerically simulated using the fast Fourier transform(FFT)-assisted boundary element method(BEM).Contacts of an elastic eighth-space are investigated using the same idea.Depending on the position of the sphere relative to the side edge,different contact behavior is observed.In the case of adhesive contact,the force of adhesion first increases with increasing the distance from the edge of the quarter-space,achieves a maximum,and decreases further to the JKR-value in large distance from the edge.The enhancement of the force of adhesion compared to the half-space-contact is associated with the pinning of the contact area at the edge.We provide the maps of the force of adhesion and their analytical approximations,as well as pressure distributions in the contact plane and inside the quarter-/eighth-space.

关 键 词：quarter-space eighth-space adhesion edge effect boundary element method(BEM) 

分 类 号：TH117[机械工程—机械设计及理论]