The dislocation-distributed technique is utilized to study the elastodynamic fracture behavior of a graded isotropic layer with viscous damping. By investigation of the stress components due to the dislocation, the familiar Cauchy singularity is detected at the location of dislocation. Then the dislocation is utilized for the formation of cracks in the strip. The stress components of dislocation and time-harmonic antiplane point force leads to the integral equations. These equations results in the stress intensity factors (SIF) for the crack configuration in the strip.