Adhesive Contact of Flat-Ended Wedges: Theory and Computer Experiments

[+] Author and Article Information
Leng Yongsheng

State Key Laboratory of Tribology, Tsinghua University, Beijing 100084; Division of Mechanics, College of Architecture, North China University of Technology, Beijing 100041, People’s Republic of China

Hu Yuanzhong, Zheng Linqing

State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, People’s Republic of China

J. Tribol 121(1), 128-132 (Jan 01, 1999) (5 pages) doi:10.1115/1.2833793 History: Received January 14, 1998; Revised May 15, 1998; Online January 24, 2008


We give the closed-form solutions for the two-dimensional adhesive contact of a flat-ended wedge with an elastic half-space, including contact pressure distribution and load-contact width relationship. The approach is derived from contact mechanics in plane-strain elasticity and fracture mechanics concepts. The contact pressure has stress singularities both at the edges of contact due to molecular attractive forces and at the wedge corners, and is compared with those without adhesion. Under zero load, we find the contact strip has a finite width which is greater than that of the wedge end, and the central region of contact is under compression, similar to that of a flat punch problem, while the regions near the contact edges are under tension. Unlike the usual experiments with smooth and low modulus materials, we conduct molecular dynamics (MD) experiments via embedded-atom method (EAM), brownian dynamics algorithm and dynamical theory of crystal lattices. The results, including the “pull-off” force for contacting surfaces to peel apart, conform reasonably well with those derived from a continuum model.

Copyright © 1999 by The American Society of Mechanical Engineers
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