Half-planes without coupling under contact loading
Juergen Jaeger, Blattwiesenstr. 7, D-76227 Karlsruhe, Germany
Arch. Appl. Mech., 1997, Vol. 67, 247-259
Abstract: Half-planes in contact under oblique loading are investigated in this paper, based on the influence integrals of the Flamant solution. The problem is determined by two integral equations for the normal and tangential stresses, which are uncoupled for special cases, as bodies of similar material in contact. In order to simplify the singular integrals, the method of superposition of flat punches is used, and the result for the symmetric case is almost identical with the axisymmetric solution. For polynomial profiles of the form xs, the Muskhelishvili potentials can be written in terms of a complex hypergeometric function and the interior stress field is illustrated for an example.