A crack terminating at a nonideal interface under multiaxial loading

Local stress field near a tip of a plane crack terminating at a bimaterial interface is considered. Instead of the "ideal contact" interfacial conditions, usually done, we have introduced an adhesive interlayer of infinitesimal thickness between the materials, and we model it as a this elastic region the width of which changes according to exponential law. It is shown that the geometry of the thin region influences essentially the stress not only qualitatively (the character of the stress singularity near the crack tip), but also quantitatively (the increase of a number of singular terms in the asymptotics)