In this study, the problem of an infinite elastic strip that contains a crack perpendicular to its boundaries and subjected to a nonsymmetric transverse loading is considered. The problem is a coupled crack-contact problem in which the distribution of the transverse loads is not known and is dependent on the geometry of the crack as well as the stamp. The effect of friction that may exist at the punches is taken into consideration in formulating the problem by prescribing the tangential as well as the normal tractions on the boundaries.
The solution of the problem is given for two stamp geometries, namely, a rigid flat-ended stamp with sharp corners and a curved elastic stamp.
To solve the problem, the stress and displacement fields of the strip were obtained by using Fourier transforms and then crack solution was added. As a result, three singular integral equations were obtained.
These singular integral equations are solved for the discrete values of contact stresses at certain collocation points, and stress intensity factors are obtained and tabulated for various geometries and material combinations.