Infinite plane with circular inclusion debonding on part interface.
The problem of a circular elastic inclusion connected with the surrounding infinite plate with crack availability at interface is examined. The crack is opened under the action of either known internal pressure or by applied tractions at infinity. For solution of this problem the theory of complex functions in combination with the method of stress and displacement jumps on the interface was used. The boundary problems were reduced to the Riemann-Hilbert edge problems. The exact solutions of the following problems: for perfect bonding with stress and displacement jumps on the interface; for concentrated forces applied at the interface and for the interface crack under arbitrary forces on the faces of the crack were found. For the case of dissimilar media it is found that the stresses and displacements should exhibit an oscillation phenomenon near the ends of the crack as those obtained for a straight crack and that the crack surfaces should overlap near the ends of the crack. For the particular examples the obtained us results were compared with the results of the other works - Muskhelishvili, England, Perlman, Sih.