Ar. Shahani et S. Adibnazari, Analysis of perfectly bonded wedges and bonded wedges with an interfacial crack under antiplane shear loading, INT J SOL S, 37(19), 2000, pp. 2639-2650
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.