Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state

Andresen, 2019, Frictional half-plane contact problems subject to alternating normal and shear loads and tension in the steady state, Int. J. Solids Struct., 168, 166, 10.1016/j.ijsolstr.2019.03.025 Andresen, 2019, Steady state cyclic behaviour of a half-plane contact in partial slip subject to varying normal load, moment, shear load, and moderate differential bulk tension, Int. Jnl. Solids Struct., 10.1016/j.ijsolstr.2019.03.025 Andresen, 2020, Steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations, Eur. J. Mech/A Solids, 79, 10.1016/j.euromechsol.2019.103868 Andresen, 2020, Representation of incomplete contact problems by half-planes, Eur. Jnl. Mech/A Solids Barber, 2010 Barber, 2011, Frictional elastic contact with periodic loading, Int. J. Solids Struct., 48, 2041, 10.1016/j.ijsolstr.2011.03.008 Cattaneo, 1938, Sul contato di due corpo elastici, Atti Accad. Naz. Lincei, Cl. Sci. Fis., Mat. Nat.,Rend., 27 Ciavarella, 1998, The generalised cattaneo partial slip plane contact problem, Part I theory, Part II examples, Int. J. Solids Struct., 35, 2349, 10.1016/S0020-7683(97)00154-6 Dini, 2004, Bounded asymptotic solutions for incomplete contacts in partial slip, Int. J. Solids Struct., 41, 7049, 10.1016/j.ijsolstr.2004.05.058 Dini, 2005, Comprehensive bounded asymptotic solutions for incomplete contacts in partial slip, J. Mech. Phys. Solids, 53, 437, 10.1016/j.jmps.2004.06.011 Dundurs, 1969, Discussion of edge-bonded dissimlar orhtogonal wedges under normal and shear loading (by D. Bogey), Jnl. Appl. Mech., 36 Fleury, 2016, A corrective solution for finding the effects of edge rounding on complete contact between elastically similar bodies. Part I: contact law and normal contact considerations, Int. J. Solids Struct., 85–86, 89, 10.1016/j.ijsolstr.2015.11.031 Fleury, 2016, A corrective solution for finding the effects of edge rounding on complete contact between elastically similar bodies. part ii: near-edge asymptotes and the effect of shear, Int. J. Solids Struct., 85–86, 97, 10.1016/j.ijsolstr.2015.11.032 Fleury, 2017, Incomplete contacts in partial slip subject to varying normal and shear loading, and their representation by asymptotes, J. Mech. Phys. Solids, 99, 178, 10.1016/j.jmps.2016.11.016 Hertz, 1881, Über die Berührung fester elastischer Körper, J. für die reine und angewandte Mathematik, 92, 156 Hills, 2016, Partial slip incomplete contacts under constant normal load and subject to periodic loading, Int. J. Mech. Sci., 108–109, 115, 10.1016/j.ijmecsci.2016.01.034 Jäger, 1997, Ein neues Prinzip der Kontaktmechnik, ZAMM, 77, 143 Jäger, 1998, A new principle in contact mechanics, J. Tribol., 120, 677, 10.1115/1.2833765 Mindlin, 1951, Effect of an oscillating tangential force on the contact surfaces of elastic spheres, Proc. First Nat. Congr. Appl. Mech., 203 Moore, 2020, Extending the Mossakovskii method to contacts supporting a moment, J. Mech. Phys. Solids., 141, 103989, 10.1016/j.jmps.2020.103989 Moore, 2018, Half-plane partial slip contact problems with a constant normal load subject to a shear force and a differential bulk tension, J. Mech. Phys. Solids, 118, 245, 10.1016/j.jmps.2018.05.017 Mossakovskii, 1953, Application of the reciprocity theorem to the determination of the resultant forces and moments in three-dimensional contact problems, PMM, 17, 477 Nowell, 1987, Mechanics of fretting fatigue tests, Int. J. Mech. Sci., 29, 355, 10.1016/0020-7403(87)90021-X Sackfield, 2005, The tilted shallow wedge problem, Eur. J. Mech. A/Solids, 24, 919, 10.1016/j.euromechsol.2005.06.007 Sackfield, 2003, The application of asymptotic solutions to characterising the process zone in almost complete frictionless contacts, J. Mech. Phys. Solids, 51, 1333, 10.1016/S0022-5096(03)00020-6