The classical Cauchy integral equation formulation used to solve contact problems capable of representation within a half-plane formulation for elastically similar materials, is developed so that the problem is reducible to an Abel equation for normal load. A fully-adhered solution is then developed permitting the interfacial shearing tractions induced by shear and a difference in remote tensions. This is applied to wedge, Hertz and flat and rounded contact problems, and the condtions for sustained adhesion found. The results found have general applicability, but are particularly relevant to the kind of load history experienced in a gas turbine blade root fixing.
MuskhelishviliN. I.Some basic problems of the mathematical theory of elasticity, 1975 (Noordhoff, Leyden).
3.
HillsD. ANowellD.SackfieldA.Mechanics of elastic contacts, 1993 (Butterworth-Heinemann, Oxford).
4.
MossakovskiiV. I.Application of the reciprocity theorem to the determination of the resultant forces and moments in three-dimensional contact problems. (In Russian), PMM, 1953, 17, 477–482.
5.
SpenceD. A.An eigenvalue problem for elastic contact with finite friction. Proc. Camb. Phil. Soc., 1973, 73, 249–268.
6.
JägerJ.A new principle in contact mechanics. ASME J. Tribol., 1998, 120, 677–684.
