A numerical procedure is presented for calculation of the mixed-mode elastodynamic stress intensity factors for a stationary three-dimensional curved crack with nonplanar surfaces. The computational scheme is developed by modifying the concept of the elastodynamic J(k) integrals, which are shown to be surface independent in a modified sense. As the near-front region needs to be included in the calculation, special treatment is thus addressed to modeling the elastodynamic singular behavior. Neither extra auxiliary solutions nor singular finite elements are required for the computation.