Although incomplete contacts can never shake down to a completely adhered state, the self-development of residual frictional shearing tractions can reduce significantly the size of the slip zone. This phenomenon is demonstrated using the Hertz-Cattaneo contact.
CattaneoC.Sul contatto di due corpi elastici: Distribuzione locale degli sforzi. Rc. Accad. Naz. Lincei, 1938, 27, 342–348, 434–436, 474–478.
2.
MindlinR. D.Compliance of elastic bodies in contact. J. Appl. Mechanics, 1949, 16, 259–268.
3.
MindlinR. D.MasonW. P.OsnerT. F.DeresiewiczH.Effects of an oscillatory tangential force on the contact surfaces of elastic spheres. In Proceedings of the 1st National Congress of Applied Mechanics, 1951, pp. 203–208.
4.
MindlinR. D.DeresiewiczH.Elastic spheres in contact under varying oblique forces. J. Appl. Mechanics, 1953, 75, 327–344.
5.
MunisamyR. L.HillsD. A.NowellD.Static axisimmetrical Hertzian contacts subject to shearing forces. J. Appl. Mechanics, 1994, 61, 278–283.
6.
SaezR.MugaduA.FuenmayorF. J.HillsD. A.Frictional shakedown in a complete contact. J. Strain Analysis, 2003, 38 (4), 329–338.
7.
JohnsonK. L.Contact Mechanics, 1985 (Cambridge University Press, Cambridge).
8.
HillsD. A.NowellD.Mechanics of Fretting Fatigue, 1994 (Kluwer, Dordrecht).