Mixed spatial problems of elasticity theory with a circular line separating the boundary conditions (Q1190078)

Mixed problems for the Laplace equation in a half-space that occur in the theory of contact interaction and the theory of cracks are considered. The lines separating the boundary conditions are considered to be circular, but the problem can be non-axisymmetric. Special integral relations are set up between the Fourier transform components of a harmonic function and its derivatives in the problem mentioned. The solution of a problem of an annular separation crack in an unbounded medium under non-axisymmetric loads is constructed as an example.