The Williams' solution for the state of stress near the apex of an elastic wedge is used to study the traction distribution adjacent to the tip of a complete contact. Assuming that the surfaces remain in contact during loading, the coefficient of friction needed to ensure local adhesion is found. This is compared with that predicted by an analysis of an elastic rectangle clamped between elastic halfplanes and is shown to be consistent. The results are appropriate to all complete contacts between elastically similar components.
GdoutosE. E.TheocarisP. S.Stress concentration at the apex of a plane indenter acting on an elastic half-planeTrans. ASME, J. Appl. Mechanics, 1975, 42, 688–692.
2.
WilliamsM. L.Stress singularities resulting from various boundary conditions in angular corners of plates in extensionTrans. ASME, J. Appl. Mechanics, 1952, 19, 526–528.
3.
BarberJ. R.Elasticity, 1992 (Kluwer, Dordrecht).
4.
FilippiS.LazzarinP.TovoR.Development of some explicit formulas useful to describe elastic stress fields ahead of notches in platesInt. J. Solids Structs, 2002, 39, 4543–4565.
5.
KhademR.O'ConnorJ. J.Axial compression of an elastic circular cylinder in contact with two identical elastic half spacesInt. J. Engng Sci., 1969, 7 (8), 785–800.
6.
BogyD. B.Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading, Trans. ASME, J. Appl. Mechanics, 1968, 35 (90), 460–466.
