The singular asymptotic forms for the pressure distribution and state of stress derived under square semi-infinite contact conditions are here applied to the case of a titled punch, and are shown to represent the local state of stress correctly. In the case of a punch titled so far that one corner lifts, at the end where the contact is receding, the use of a bounded asymptote is successfully employed. Thus, the asymptotes originally developed to treat contact problems that are symmetrical have successfully been used for titled and unsymmetrical problems, showing that further asymptotes are unnecessaryand providing a reliable means of comparing, for example, fretting fatigue behaviour.
GiannakopoulosA. E.LindleyT. C.SureshS.Aspects of equivalence between contact mechanics and fracture mechanics: Theoretical connections and a life-prediction methodology for fretting-fatigueActa Mater., 46, 2955–2968.
2.
MugaduA.HillsD. A.A generalised stress intensity approach to characterising the process zone in complete fretting contactsInt. J. Solids Structs, 2002, 39 (5), 1327–1335.
3.
SackfieldA.MugaduA.BarberJ. R.HillsD. A.The application of asymptotic solutions to characterizing the process zone in almost complete frictionless contactsMechanics and Physics of Solids, 2003, 51 (7), 1333–1346.
4.
SackfieldA.TrumanC. E.HillsD. A.The tiled punch under normal and shear load (with application to fretting tests)Int. J. Mech. Sci., 2001, 43, 1881–1892.
