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

Antiplane shear deformation of perfectly bonded wedges as well as bonded wedges with an interface crack are studied in this paper. The solution of governing di€erential equations is accomplished by means of the Mellin transform. For two edge-bonded isotropic wedges with perfect bonding along the common edge, closed form solutions are obtained for stress ®elds and analytical relations are given for the strength of singularity at the apex. However, for bonded wedges with an interfacial crack, ®rst 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 paper by describing an exact analytical method. The resultant singular integral equations are then solved analytically and the obtained results including the stress intensity factors at the crack tips are plotted. A comparison of the results in the special cases shows a complete agreement with those cited in the literature. However, when the crack tip coincides with the wedge apex, a strength of singularity of unity has been observed. #