Analysis of bonded finite wedges with an interfacial crack under antiplane shear loading

Antiplane shear deformation of bonded finite wedges with an interface crack is studied in this article. The traction-free condition is imposed on the circular segment of the wedge. Boundary conditions on the radial edges are considered as traction-traction. In order to solve this problem a novel mathematical technique has been employed. This technique consists of the use of some recently proposed finite complex transforms, which have complex analogies to the standard finite Mellin transforms of the first and second kinds. However, for the problem of bonded wedges with an interfacial crack, first it is necessary to express the traction-free condition of the crack faces in the form of a singular integral equation, which is done in this article by describing an exact analytical method. The resultant singular integral equations are then solved numerically and the obtained results including the stress intensity factors at the crack tips are plotted. Comparison of the results in the special cases shows a complete agreement with those cited in the literature.