The traction problem in a theory of plane strain elasticity with boundary reinforcement

In a previous work, the authors used integral equation methods to solve int erior and exterior mixed boundary value problems arising from a theory of p lane strain elasticity with boundary reinforcement. In this paper, the auth ors generalize the results in their previous paper to account for the case when only traction is prescribed on the nonreinforced part of the boundary of the elastic body This case is of particular interest, since the correspo nding homogeneous systems of singular integral equations give rise to nontr ivial solutions that affect the solvability of both the interior and exteri or boundary value problems.