  A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite
patch of the wedgeshaped, which meets the interface at a right angle and is
loaded with tangential and normal forces is considered. By using methods of the
theory of analytic functions, the problem is reduced to the system of singular
integro-differential equations (SIDE) with fixed singularity. Under
tension-compression of patch by using an integral transformation a Riemann
problem is obtained, the solution of which is presented in explicit form. The
tangential contact stresses along the contact line are determined and their
asymptotic behavior in the neighborhood of singular points is established.
