A viscoelastic cracked sandwich composite under anti-plane load is pre
sented via the application of the Laplace transform and the complex va
riable formulation. Using a special technique of analytical continuati
on associated with the method of image, the triple-layered problem is
reduced to a singular function by simple algebraic manipulations. The
superposition method and the singular integral equation is applied to
deal with the concentrated load and crack problem. Finally, some typic
al viscoelastic models and its corresponding stresses and stress inten
sity factors are also discussed. The results show that the time depend
ent stress intensity factor is affected by the relative strength of cr
eep compliances of each layer.