Circular arc crack near an interface

The analytical solution of a plane problem for two jointed half-planes with a crack in the shape of the circular arc located near an interface is obtained. On the crack edges external load is applied. At infinity stresses and angles of rotation are given. Method of complex potentials of Kolosov - Muskhelishvili together with a superposition method is used for solving the problem. The boundary problem is reduced to a Fredholm equation of the second kind, which solution is constructed in a polynomial form.