An antiplane problem of a finite thickness cracked layer bonded to a viscoe
lastic substrate is considered. Complex potential function is derived via t
he application of the Laplace transform and a special technique of analytic
al continuation associated with the image method. A dislocation function is
introduced to solve the boundary condition along the crack border by means
of singular integral equations. Some typical viscoelastic models and its c
orresponding stress intensity factors are also discussed.. The results show
that, subjected to constant load, the time-dependent stress intensity fact
or may increase or decrease with time evolution. This is affected by the or
ientation of crack as well as the relative strength of the layer and substr
ate. (C) 1998 Elsevier Science Ltd. All rights reserved.