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 we dges with an interface crack are studied in this paper. The solution of gov erning differential equations is accomplished by means of the Mellin transf orm. For two edge-bonded isotropic wedges with perfect bonding along the co mmon edge, closed form solutions are obtained for stress fields and analyti cal relations are given for the strength of singularity at the apex. Howeve r, for bonded wedges with an interfacial crack, first it is necessary to ex press the traction-free condition of the crack faces in the form of a singu lar integral equation which is done in this paper by describing an exact an alytical method. The resultant singular integral equations are then solved analytically and the obtained results including the stress intensity factor s 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. Howev er, when the crack tip coincides with the wedge apex, a strength of singula rity of unity has been observed. (C) 2000 Elsevier Science Ltd. All rights reserved.