The effect of a viscoelastic substrate on an anisotropic elastic cracked bo
dy under in-plane concentrated loading is studied in this paper. Based on t
he correspondence principle, the viscoelastic solution is directly obtained
from the corresponding elastic one. The fundamental elastic solution is so
lved as three complex potentials via the property of analytical continuatio
n to satisfy the continuity condition along the interface between dissimila
r media. A singular integral technique in association with the dual coordin
ate transformation is applied to obtain the stress intensity factors for va
rious crack orientations. Using the standard solid model to formulate the v
iscoelastic constitutive equation, some numerical examples are considered t
o demonstrate the use of the present approach.